1. Introduction
Powerful radio-emitting AGNs are usually found in massive elliptical galaxies such as M87 (e.g. Bolton, Stanley, and Slee, Reference Bolton, Stanley and Slee1949) and the median radio luminosity of AGNs hosted by early-type galaxies increases with host galaxy mass (e.g. Sadler, Jenkins, and Kotanyi, Reference Sadler, Jenkins and Kotanyi1989; Best et al., Reference Best, Kauffmann, Heckman, Brinchmann, Charlot, Ivezic and White2005; Brown et al., Reference Brown, Jannuzi, Floyd and Mould2011). Radio AGNs hosted by lenticular galaxies (e.g. Véron-Cetty and Véron, Reference Véron-Cetty and Véron2001) and spiral galaxies (e.g. Kaviraj et al., Reference Kaviraj, Shabala, Deller and Middelberg2015; Singh et al., Reference Singh, Ishwara-Chandra, Sievers, Wadadekar, Hilton and Beelen2015) are rare or less luminous in radio, indicating a trend in radio luminosity with morphology and kinematics (e.g. Hummel, Kotanyi, and Ekers, Reference Hummel, Kotanyi and Ekers1983; Bender, Doebereiner, and Moellenhoff, Reference Bender, Doebereiner and Moellenhoff1987).
Radio-mode AGN feedback, including strong winds, radio jets and radiation, could potentially regulate or truncate star formation by limiting gas supply and cooling, and this may occur with or without morphological change (e.g. Bower et al., Reference Bower, Benson, Malbon, Helly, Frenk, Baugh, Cole and Lacey2006; Croton et al., Reference Croton, Springel, White, De Lucia, Frenk, Gao, Jenkins, Kauffmann, Navarro and Yoshida2006). Radio lobes and radio bubbles have been observed to interact with their host galaxies, with Perseus A being the best-known example (e.g. Boehringer et al., Reference Boehringer, Voges, Fabian, Edge and Neumann1993; Fabian et al., Reference Fabian, Sanders, Taylor, Allen, Crawford, Johnstone and Iwasawa2006, Reference Fabian, Walker, Russell, Pinto and Sanders2017). While there is strong evidence for AGN feedback in individual galaxies, these powerful radio sources are often hosted by galaxies with star formation and it is not clear whether AGN feedback is a common mechanism for regulating star formation.
Host kinematics is correlated with the radio luminosity of radio AGNs. Recent work on the integral field spectroscopic data of radio galaxies by Zheng et al. (Reference Zheng, Röttgering, van derWel and Cappellari2023) discovered that early-type galaxies with lower angular momenta at fixed stellar mass host stronger radio AGN sources. Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024) also found that the slow-rotator early-type galaxies have higher median radio luminosities (
$L_{1.4 \textrm{GHz}} \sim 10^{22} \mathrm{\;W/Hz}$
) than the fast-rotator early-type galaxies (
$L_{1.4 \textrm{GHz}} \sim 10^{20} \mathrm{\;W/Hz}$
). Given the correlation between kinematics and radio luminosity in passive elliptical galaxies, does this trend continue to include passive spiral galaxies?
Passive spiral galaxies are a small but significant subpopulation of passive galaxies, with truncated star formation, high rotation velocity and low dispersion, which is inferred from the velocity maps of star-forming and passive spiral galaxies (e.g. Pak et al., Reference Pak, Lee, Jeong, Kim, Smith and Lee2019). The quenching of their star formation may result from a variety of mechanisms (e.g Smethurst et al., Reference Smethurst, Lintott, Bamford, Hart, Kruk, Masters, Nichol and Simmons2017), as they occur in a variety of environments and have a range of morphological features (Fraser-McKelvie et al., Reference Fraser-McKelvie, Brown, Pimbblet, Dolley and Bonne2018). When passive spiral galaxies do show line emission, it is often consistent with LINER-like spectra (Fraser-McKelvie et al., Reference Fraser-McKelvie, Brown, Pimbblet, Dolley, Crossett and Bonne2016), which could result from low-luminosity AGNs. If passive spiral galaxies frequently host AGNs, AGN feedback could explain how star formation was turned off in passive spiral galaxies without morphological change. However, if the relationship between kinematics and AGN radio luminosity extends to spiral galaxies, passive spiral galaxies will have a lower radio luminosity than passive elliptical galaxies.
The increasing depth of wide-field radio continuum imaging has enabled improved examinations of the radio emission from low-luminosity AGNs in nearby galaxies. While early wide-field radio continuum surveys such as the Third Cambridge survey (3C; depth of
$\sim$
10 Jy at
$\sim$
200 MHz; Edge et al., Reference Edge, Shakeshaft, McAdam, Baldwin and Archer1959) detected the brightest sources, subsequent surveys have improved in both angular resolution and depth, and at the turn of the century the NRAO VLA Sky Survey (NVSS; Condon et al., Reference Condon, Cotton, Greisen, Yin, Perley, Taylor and Broderick1998) achieved an RMS depth of 0.45 mJy at 1.4 GHz. The latest wide-field continuum surveys have further improved the flux density and angular resolution limits compared to earlier works, and these surveys include the Rapid ASKAP Continuum Survey (RACS; McConnell et al., Reference McConnell, Hale, Lenc, Banfield, Heald, Hotan and Leung2020; Hale et al., Reference Hale, McConnell, Thomson, Lenc, Heald, Hotan and Leung2021; Duchesne et al., Reference Duchesne, Thomson, Pritchard, Lenc, Moss, McConnell and Wieringa2023) Band 1 (RACS-low) at 887.5 MHz, VLA Sky Survey (VLASS; Lacy et al., Reference Lacy, Baum, Chandler, Chatterjee, Clarke, Deustua and English2020; Gordon et al., Reference Gordon, Boyce, O’Dea, Rudnick, Andernach, Vantyghem and Baum2021) at 2-4 GHz and LOFAR Two-metre Sky Survey Data Release 2 (LoTSS-DR2; Shimwell et al., Reference Shimwell, Röttgering, Best, Williams, Dijkema, de Gasperin and Hardcastle2017; Shimwell et al., Reference Shimwell, Tasse, Hardcastle, Mechev, Williams, Best and Röttgering2019; Shimwell et al., Reference Shimwell, Hardcastle, Tasse, Best, Röttgering, Williams and Botteon2022) at 120-168 MHz. VLASS has a sky coverage above declination
$-40^\circ$
with an RMS depth of
$\sim$
140
$\mu$
Jy/beam and a synthesised beam of
$2^{\prime\prime}$
, LoTSS-DR2 covers 27% of the northern hemisphere with an RMS depth of 70-100
$\mu$
Jy/beam and a synthesised beam of
$6^{\prime\prime}$
, and RACS-low covers the sky between declinations
$-80^{\circ}$
and
$+30^{\circ}$
with an RMS depth of
$\sim$
250
$\mu$
Jy/beam and a synthesised beam of
$25^{\prime\prime}$
. Combining deeper radio continuum imaging with samples of local galaxies enables the detection of the weakest radio sources (
$\lesssim 10^{20} \textrm{W/Hz}$
), enabling radio detections of entire galaxy populations (e.g. Brown et al., Reference Brown, Clarke, Hopkins, Norris and Jarrett2024).
Motivated by this, we aim to determine whether passive spiral galaxies host AGN-powered radio sources using RACS-low and VLASS. The structure of this paper is as follows. Section 2 covers the data extraction, sample selection by morphology and mid-infrared photometric colour cut, and radio flux density measurements from RACS-low and VLASS. Section 3 provides our measurements of flux densities and luminosities for individual passive spiral galaxies and combined images of the passive spiral population. We discuss the possible relationship between radio luminosity and kinematics of passive spiral galaxies in Section 4, followed by the conclusion in Section 5. All the catalogues, image extraction and measurements in this work are implemented using astropy (Astropy Collaboration et al., Reference Collaboration, Robitaille, Tollerud, Greenfield, Droettboom, Bray and Aldcroft2013, Reference Collaboration, Price-Whelan, Sipocz, Günther, Lim, Crawford and Conseil2018, Reference Collaboration, Price-Whelan, Lim, Earl, Starkman, Bradley and Shupe2022), astroquery (Ginsburg et al., Reference Ginsburg, Sipocz, Brasseur, Cowperthwaite, Craig, Deil and Guillochon2019) and Jupyter notebooks that build on code provided by Space Telescope Science Institute (STScI), CSIRO ASKAP Science Data Archive (CASDA), Canadian Astronomy Data Centre (CADC) and Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024). We use Vega magnitudes, adopt a Baldry and Glazebrook (Reference Baldry and Glazebrook2003) initial mass function (IMF), and a flat
$\Lambda$
cold dark matter (
$\Lambda$
CDM) cosmology, with
$\Omega_M=0.3$
,
$\Omega_\Lambda=0.7$
,
$\Omega_k=0$
and
$H_0 = 70\;\mathrm{km\;s^{-1}\;Mpc^{-1}}$
.
2. Data and measurements
2.1 Passive spiral sample
To identify nearby galaxies, we used the Two Micron All Sky Redshift Survey (2MRS; Huchra et al., Reference Huchra, Macri, Masters, Jarrett, Berlind, Calkins and Crook2012), which is a
$K_s \leq$
11.75 mag galaxy catalogue with 91% sky coverage and 97.6% redshift completeness. Using 2MRS as the base catalogue, we selected a bright subset of 5164 galaxies with
$K_s$
< 10, which enabled us to measure or place strong limits on their radio luminosities with RACS-low and VLASS.
To select spiral galaxies, we used HyperLeda (Paturel et al., Reference Paturel, Petit and Prugniel2003) as the primary morphology reference followed by the older Third Reference Catalogue of Bright Galaxies (RC3; de Vaucouleurs et al., Reference de Vaucouleurs, de Vaucouleurs, Corwin, Buta, Paturel and Fouque1991) and then 2MRS. (While we initially used 2MRS as our primary morphology reference, we found it had a high contamination rate.) We selected spiral galaxies using the alphabetical and T type numerical morphological classifications, with −6 to −1, 0 and 1 to 9 corresponding to elliptical, lenticular and spiral galaxies respectively. Galaxies were chosen if they were S type in HyperLeda or 0 < T type < 10 in RC3 when a HyperLeda morphology was unavailable as we want to include marginal cases that may be passive spirals. If both HyperLeda and RC3 morphologies were unavailable, galaxies with 0 < T type < 10 in 2MRS were selected.
We selected passive galaxies with mid-infrared colour cuts of
$W2 - W3 \leq 1$
and
$W1 - W2 \leq 0.5$
using photometry from the Wide-field Infrared Survey Explorer (WISE; Wright et al., Reference Wright, Eisenhardt, Mainzer, Ressler, Cutri, Jarrett and Kirkpatrick2010) ALLWISE Source Catalogue (Wright et al. Reference Wright, Eisenhardt, Mainzer, Ressler, Cutri, Jarrett and Kirkpatrick2019). Photometry in the W1, W2 and W3 bands was measured for each galaxy with matched elliptical apertures with semi-major axes set to 1.1 times the 2MASS Extended Source Catalogue
$K_S$
isophotal semi-major axis. We did not use the WISE W4 band in our selection criteria as passive galaxies and galaxies with weak star formation are often too faint to be precisely measured in this band. The median semi-major axis of the elliptical aperture for our sample is
$35^{\prime\prime}$
, which at our median distance of
$70\;\textrm{Mpc}$
corresponds to a projected radius of
$12\;\textrm{kpc}$
. While other catalogues of WISE photometry are available (e.g. Cluver et al., Reference Cluver, Jarrett, Dale, Smith, Brown, van Kempen and Lengerer2025), they can use smaller apertures for WISE W3 band which may result in aperture bias and passive colours for star-forming galaxies.
Our colour cuts select passive galaxies without infrared emission from warm dust and with infrared spectra approximated by the Rayleigh-Jeans tail of stellar population spectra (e.g. Fraser-McKelvie et al., Reference Fraser-McKelvie, Brown, Pimbblet, Dolley, Crossett and Bonne2016). We have used simple colour cuts to select passive galaxies as they are effective, transparent and easily reproducible, whereas the alternative of specific star formation rates derived from SED fitting requires homogeneous optical and infrared photometry that is not readily available for the whole sky. Our specific colour cuts are comparable to but stricter than those of (Cluver et al., Reference Cluver, Jarrett, Dale, Smith, August and Brown2017,
$W2 - W3 \lt1.5 \mathrm{in Vega}$
) which corresponds to
$\textrm{sSFR} \lesssim 10^{-11} \mathrm{\;yr^{-1}}$
and (Pak et al., Reference Pak, Oh, Lee, Scott, Smith, van de Sande and Croom2021,
$W2 - W3 \leq2$
and
$W1 - W2 \leq 0.8 \mathrm{\; in Vega}$
) which correspond to
$\textrm{sSFR} \lt 10^{-10.4} \mathrm{\;yr^{-1}}$
(Parkash et al., Reference Parkash, Brown, Jarrett, Fraser-McKelvie and Cluver2019), as we aimed to reduce contamination by low-SFR spiral galaxies.
As passive spiral galaxies are a small subpopulation of all galaxies, we initially had relatively high contamination from misclassified lenticular and elliptical galaxies and contamination from spiral galaxies with star formation. We found that many galaxies close to the Galactic Plane (
$|b| \lt 10^\circ$
) and close to the Galactic Bulge (
$|b| \lt 15^\circ$
,
$l \lt 60^\circ$
or
$l \gt 300^\circ$
) were contaminants (probably due to Galactic dust extinction in the optical) so we excluded these from the sample. The automated morphology, colour and Galactic Plane criteria result in an initial sample of 92 passive spiral galaxies, but this sample contains contaminants.
To systematically identify non-spiral galaxies and remove them from our initial sample, we searched for inconsistencies between morphology catalogues and for galaxies with high Galactic dust reddening. We excluded galaxies if they had morphologies or flags in the relevant catalogues that indicated they could be peculiar, mergers or early-type galaxies. For example, NGC 6033 was classified as a spiral in HyperLeda but we excluded it from the sample because it was classified as an elliptical in 2MRS. We removed 9 galaxies with E(B-V) > 0.2 (Schlafly and Finkbeiner, Reference Schlafly and Finkbeiner2011) such as 6dFGS gJ055007.2-101040 to avoid galaxies with potentially unreliable morphologies due to Galactic dust, and 21 galaxies with inconsistent morphologies, with example optical images in Figure 1.

Figure 1. Pan-STARRS1
$3^{\prime} \times 3^{\prime}$
grz-images of examples of contaminants rejected by automated criteria. These galaxies have inconsistent morphologies in different catalogues or high Galactic dust extinction. NGC 4464 is a Sa in HyperLeda but a lenticular galaxy in 2MRS. NGC 6033 is a Sbc in HyperLeda but an elliptical galaxy in 2MRS. IC 4697 is peculiar in 2MRS. 6dFGS gJ055007.2-101040 has
$E(B-V) \gt 0.2$
and its optical image may lack morphological detail due to foreground dust extinction.
We visually inspected all galaxies that were selected with our morphology, colour cuts and Galactic Plane criteria, using optical images from the Panoramic Survey Telescope and Rapid Response System Telescope #1 (Pan-STARRS1; Chambers et al., Reference Chambers, Magnier, Metcalfe, Flewelling, Huber, Waters and Denneau2016; Flewelling et al., Reference Flewelling, Magnier, Chambers, Heasley, Holmberg, Huber and Sweeney2020), the Sloan Digital Sky Survey (SDSS; York et al., Reference York, Adelman, Anderson, Anderson, Annis, Bahcall and Bakken2000; Alam et al., Reference Alam, Albareti, Prieto, Anders, Anderson, Anderton and Andrews2015) or SkyMapper Southern Sky Survey (Onken et al., Reference Onken, Wolf, Bessell, Chang, Da Costa, Luvaul, Mackey, Schmidt and Shao2019). We reject galaxies where spiral arms or disks are not clearly evident (e.g. IC 288 and UGC 10492), or where merger features (e.g. shells) have potentially been mistaken for spiral arms (e.g. UGC 2756), with example optical images in Figure 2. Apart from optical images, we looked up the NASA/IPAC Extragalactic Database (NED; Helou et al., Reference Helou, Madore, Schmitz, Wu, Egret and Albrecht1995) and the Legacy SurveysFootnote a for more evidence such as multiband images (e.g. GALEX FUV and NUV; Martin et al., Reference Martin, Fanson, Schiminovich, Morrissey, Friedman, Barlow and Conrow2005) and classifications from other sources to confirm the morphology and absence of star formation. Galaxies with low star formation such as NGC 1367 show blue arcs at the outskirts in Legacy Surveys and are rejected.

Figure 2. Pan-STARRS1
$3^{\prime} \times 3^{\prime}$
grz-images of examples of contaminants rejected by manual inspection. The contaminants are mostly misclassified elliptical, lenticular and peculiar galaxies, or spiral galaxies with low star formation. IC 288 is an edge-on lenticular galaxy with no apparent spiral arms. UGC 10492 is an elliptical galaxy with no apparent disk. UGC 2756 is a merger. NGC 1367 is a star-forming spiral galaxy that shows blue arcs at the outskirts from the Legacy Surveys. Caution that some of the images are relatively shallow and some morphological features or star formation are not apparent in Pan-STARRS1 or SkyMapper.
After the manual removal of 6 galaxies with star formation and 18 galaxies with morphologies other than spirals, we have a final sample of 38 passive spiral galaxies with
$8.65\lt K_S\lt9.99$
. Figure 3 illustrates that the WISE colours of the sample are consistent with those of passive galaxies. Figure 4 provides Pan-STARRS1 and SkyMapper colour images of all 38 galaxies in the sample.

Figure 3. Colour-colour plots of our sample and 2MRS galaxies. Left:
$W1-W2$
against
$W2-W3$
for our passive spiral galaxies, which have been selected with
$W2 - W3 \leq 1$
and
$W1 - W2 \leq 0.5$
. The outlier with high
$W1 - W2$
is UGC 3855 with its photometry affected slightly by a neighbouring star. Right: the WISE colours of passive spirals compared to all 2MRS galaxies (light grey). Passive spiral galaxies and contaminants are located at the left, where SEDs approximate Rayleigh-Jeans spectra.

Figure 4. Pan-STARRS1 and SkyMapper
$3^{\prime} \times 3^{\prime}$
grz-images of our sample of 38 passive spiral galaxies. NGC 4440 (the second one in the first row) is a face-on SBa and UGC 12154 (the second one in the third row) is an edge-on Sb in HyperLeda.
2.2 Radio data
To measure the radio continuum flux densities of the passive spiral galaxies, we extracted
$10^{\prime} \times 10^{\prime}$
RACS-low and
$5^{\prime} \times 5^{\prime}$
VLASS image cutouts with the CASDA and CADC astroquery packages respectively. To quantify the noise in the images, we have used the median absolute deviation (MAD), which we have then divided by 0.6745 to provide
$\sigma$
so that it is equivalent to the root mean square (RMS) for a Gaussian noise distribution. We found that the median MAD values for the RACS-low and VLASS images were 250
$\mu$
Jy and 62
$\mu$
Jy respectively, which correspond to RMS values of 370
$\mu$
Jy and 91
$\mu$
Jy. All 38 passive spiral galaxies have at least 1 radio continuum image, with 18 galaxies having RACS-low images and 36 galaxies having VLASS images.
We measured the radio flux density,
$F_\nu$
, using the pixel in the radio image corresponding to the position of the centre of each galaxy. Combined images are available for galaxies with RACS-low images. For galaxies with multiple VLASS images, median-combined images with overlapping regions of at least
$300\times300$
pixels or otherwise the image with the lowest noise was used. Key measurements for individual galaxies are provided in Table 1, including RACS-low and VLASS flux densities per beam, RACS-low and VLASS noise, K-band absolute magnitude and luminosity distance. We caution that our radio flux density measurements are generally not significant and should not be confused with detections, but the distribution of measurements is useful for understanding the radio properties of the passive spiral population.
Table 1. The RACS-low sample of nearby passive spiral galaxies (full table is available online).

3. Results
None of the passive spiral galaxies in our sample have significant (
$\gt3\sigma$
) detections in RACS-low and VLASS except two galaxies. NGC 4539 has a
$3.34 \sigma$
detection in RACS-low and UGC 10517 has a
$3.21 \sigma$
detection in VLASS but both galaxies are contaminated by neighbouring sources. We visually inspected 4 galaxies with
$2-3\sigma$
measurements and their images are consistent with noise rather than radio sources. Figure 5 shows the radio continuum flux density measurements for the passive spiral galaxies. The numbers of positive and negative measurements are comparable, indicating that the measurements of passive spiral galaxies are consistent with a noise distribution centred on zero. All but 3 of the RACS-low measurements (NGC 4440, NGC 4516 and NGC 4539) are consistent with flux densities below 1 mJy, with the first two exceptions being in images with high noise levels of
$\gt1 \textrm{mJy}$
and the last one (NGC 4539) contaminated by a neighbouring source. All VLASS measurements are consistent with flux densities below 1 mJy. We conclude that there are no valid radio sources above
$3\sigma$
in either RACS-low or VLASS for the passive spiral sample.

Figure 5. RACS-low (left) and VLASS (right) radio flux densities as a function of K-band absolute magnitude (excluding 2 galaxies with noisy RACS-low images). The radio flux densities of passive spiral galaxies (red) are generally lower than those of the star-forming and early-type contaminants rejected from the sample (light grey). The median RMS errors for the RACS-low and VLASS images are 370
$\mu$
Jy and 91
$\mu$
Jy respectively. After excluding images with noisy data and visual inspection of images with
$2\sigma$
measurements, we conclude there are no detections of our passive spiral galaxies with RACS-low and VLASS.
To search for weak radio emission from the passive spiral galaxy population, we median combined 17 RACS-low and 31 VLASS images (excluding 1 RACS-low image and 5 VLASS images with partial coverage of the field-of-view, or contaminated by streaks or neighbouring sources). The resulting combined radio continuum images are shown in Figure 6. The RACS-low combined image has a central flux density of 167
$\mu$
Jy and RMS of 161
$\mu$
Jy while the VLASS one has a central flux density of 6.31
$\mu$
Jy and RMS of 20.5
$\mu$
Jy. Both central flux densities are lower than 2 times the relevant RMS, consistent with random noise and our passive spiral galaxies typically having RACS-low flux densities of
$\lesssim 200\;\mu \textrm{Jy}$
.

Figure 6. Combined radio continuum images of passive spiral galaxies. Left: 17 RACS-low images were combined to form this image with
$ F_\nu = 167 \;\mu$
Jy and
$\sigma = 161 \;\mu$
Jy. Right: 31 VLASS images were combined to form this image with
$ F_\nu = 6.31 \;\mu$
Jy and
$\sigma = 20.5 \;\mu$
Jy. There is no significant radio emission in the RACS-low and VLASS combined images of passive spiral galaxies.
Figure 7 compares the radio luminosities of our passive spiral galaxies with the radio luminosities of early-type galaxies from Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024), which are also measured with RACS-low. When an insignificant flux density was measured for a galaxy, we determined an upper limit for the luminosity using a flux density corresponding to three times RMS. The radio luminosity upper limits of our passive spiral galaxies are comparable to or less than
$10^{21} \mathrm{\;W/Hz}$
, which is lower than the typical radio luminosity of early-type galaxies. The early-type galaxies of Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024) are mostly passive with radio sources powered by AGNs, and Figure 7 suggests such radio sources are rare, weak or absent from passive spiral galaxies.
4. Discussion
We find no evidence of radio emission from passive spiral galaxies, and Figure 7 shows that the radio luminosities of passive spiral galaxies are far weaker (on average) than those of elliptical and lenticular galaxies. Radio-loud AGNs are usually found in passive elliptical galaxies but rarely in star-forming spiral galaxies (e.g. Kormendy and Ho, Reference Kormendy and Ho2013), suggesting AGN radio luminosity is correlated with morphology or anti-correlated with star formation rate. Our finding indicates the importance of the correlation between radio luminosity and morphology.
The combined radio images better constrain the radio luminosities of passive spiral galaxies than the individual images. To model the radio luminosities of passive spiral galaxies, we assume radio luminosity (in
$\textrm{W/Hz}$
) is directly proportional to the K-band luminosity, which is equivalent to

where A is a constant and
$M_K$
is the K-band absolute magnitude between −22 and −25.5. The values of A using the central flux density and
$3\sigma$
upper limit from the combined RACS-low image are
$A_{avg} = 9.01$
(dotted line) and
$A_{3\sigma} = 9.30$
(dashed line) respectively as shown in Figure 8. The
$3\sigma$
line is below the passive early-type median line (solid line), all
$3\sigma$
detections of slow-rotating (yellow) and fast-rotating (purple) early-type galaxies from Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024), indicating that passive spiral galaxies have lower radio luminosities than both fast- and slow-rotating passive early-types.
The radio luminosities of passive galaxies have a dependence on morphology, with elliptical galaxies having higher radio luminosities than lenticular galaxies (on average) and lenticular galaxies having higher radio luminosities than passive spiral galaxies (on average). There could be a direct connection between radio luminosity and morphology, or morphology could be correlated with the underlying causal relationship. For example, radio luminosity could be a function of host galaxy stellar kinematics. Slow rotator early-type galaxies typically have higher radio luminosities than fast rotator early-type galaxies (Zheng et al., Reference Zheng, Röttgering, van derWel and Cappellari2023; Brown et al., Reference Brown, Clarke, Hopkins, Norris and Jarrett2024), and passive spiral galaxies are almost certainly fast rotators with lower velocity dispersions than elliptical and lenticular galaxies (e.g. Pak et al., Reference Pak, Lee, Jeong, Kim, Smith and Lee2019). Irrespective of the relationship between radio luminosity and morphology, the absence of radio emission in passive spiral galaxies indicates that radio-mode AGN feedback is not regulating star formation in these galaxies and that radio-loud AGNs are not necessarily common in all passive galaxy populations.
Our result of no significant radio emission from passive spiral galaxies is consistent with earlier work by Rowlands et al. (Reference Rowlands, Dunne, Maddox, Bourne, Gomez, Kaviraj and Bamford2012). They found no radio matches for their
$0.05 \le z \lt 0.25$
passive spiral sample in 1.335 GHz FIRST images that have a median RMS depth of
$\sim 100\;\mu$
Jy/beam. Rowlands et al. (Reference Rowlands, Dunne, Maddox, Bourne, Gomez, Kaviraj and Bamford2012) median galaxy redshift is approximately an order of magnitude higher than our own, and thus their radio luminosity sensitivity is roughly two orders of magnitude poorer than our work. Overall, no significant radio emission is detected from passive spiral galaxies in RACS-low, VLASS and FIRST.
While we find no evidence for radio emission from passive spiral galaxies, and we conclude that passive spiral galaxies must typically have far lower radio luminosities than comparable elliptical and lenticular galaxies, we cannot rule out radio sources in this population. We have a sample of only 38 passive spiral galaxies, so 1% of passive spiral galaxies hosting
$\sim 10^{20} \mathrm{\;W/Hz}$
radio sources would be entirely consistent with our work. Such radio sources powered by AGNs are found in adjacent populations, including passive lenticular galaxies (e.g. Véron-Cetty and Véron, Reference Véron-Cetty and Véron2001) and spiral galaxies with low (but non-zero) star formation rates (e.g. NGC 1367, Condon, Matthews, and Broderick, Reference Condon, Matthews and Broderick2019). While we have searched for radio emission from AGNs in passive spiral galaxies, other sources could contribute to the radio emission from these galaxies, including populations of millisecond pulsars, which are predicted to produce radio luminosities on the order of
$\sim 10^{21} \mathrm{\;W/Hz}$
(Sudoh, Linden, and Beacom, Reference Sudoh, Linden and Beacom2021).

Figure 7. Radio luminosity as a function of K-band absolute magnitude for passive spiral galaxies (red) and the early-type sample (grey) of Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024). Galaxies with flux densities within
$3\sigma$
of zero are shown with upper limits and for clarity galaxies with very noisy images are excluded from the figure. Our sample has lower radio luminosities than most early-type galaxies, implying that passive spiral galaxies are less luminous in radio than comparable passive elliptical and lenticular galaxies.

Figure 8. Radio luminosity as a function of K-band absolute magnitude for passive spiral galaxies, compared with fast-rotating (purple) and slow-rotating (yellow) early-type galaxies from Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024). Galaxies with a measured flux density per beam less than
$3\sigma$
above the local noise are plotted as triangles using the values of the
$3\sigma$
upper limits. The dotted line and dashed line correspond to the best fits of the central radio flux density and
$3\sigma$
upper limit of the combined RACS-low image of passive spiral galaxies, assuming radio luminosity is proportional to K-band luminosity. The
$3\sigma$
line is lower than the passive early-type median (solid line) and the radio luminosities for all slow rotator and fast rotator early-type galaxies.
While the lack of radio emission in passive spiral galaxies indicates an absence of radio-mode AGNs, they could host radio-quiet AGNs. To see if they host radio-quiet AGNs, we searched for their X-ray counterparts. We cross-matched the passive spiral sample and (for comparison) the early-type sample from Brown et al. (Reference Brown, Clarke, Hopkins, Norris and Jarrett2024) with the main X-ray catalogue from eROSITA/eRASS1 (Merloni et al., Reference Merloni, Lamer, Liu, Ramos-Ceja, Brunner, Bulbul and Dennerl2024) at 0.2–2.3 keV using a searching radius of
$15^{\prime\prime}$
. We identified only 1 X-ray source (IC 4299 with
$F_\textrm{0.2-2.3 keV} = 1.23 \times 10^{-13} \textrm{ erg s}^{-1}\;\mathrm{cm^{-2}}$
) in passive spiral galaxies (out of 16 galaxies in the eROSITA/eRASS1 area) and 259 matches (out of 484 galaxies in the eROSITA/ eRASS1 area) in the early-type sample, indicating that X-ray detectable AGNs are rare in passive spiral galaxies but far more common in early-type galaxies. (Although we also caution that X-ray emission can originate from sources other than AGNs in galaxies (e.g. White, Sarazin, and Kulkarni, Reference White2002; Fabbiano, Reference Fabbiano2006).) There is no obvious evidence indicating that IC 4299 is an AGN as its WISE colours are located outside the AGN wedge and its 6dF optical spectrum (Jones et al., Reference Jones, Read, Saunders, Colless, Jarrett, Parker and Fairall2009) does not show AGN features like emission lines or broad lines. Moreover, the rarity of prominent emission lines observed in passive spiral galaxies indicates weak or no AGN activity (Masters et al., Reference Masters, Mosleh, Romer, Nichol, Bamford, Schawinski and Lintott2010; Rowlands et al., Reference Rowlands, Dunne, Maddox, Bourne, Gomez, Kaviraj and Bamford2012; Fraser-McKelvie et al., Reference Fraser-McKelvie, Brown, Pimbblet, Dolley, Crossett and Bonne2016). Therefore, we see no evidence for radio emission from AGNs in the passive spiral population, while X-ray and nebular emission lines suggest AGNs hosted by this population are relatively rare or weak.
5. Conclusion
We have searched for radio emission from passive spiral galaxies to determine if they host radio sources powered by AGNs, as do many passive elliptical galaxies. To do this we selected a sample of 38 low-redshift
$K_S\lt10$
passive spiral galaxies from 2MRS using WISE infrared colour cuts of
$W2 - W3 \leq 1$
,
$W1 - W2 \leq 0.5$
and morphologies from HyperLeda, RC3, 2MRS, Galactic coordinates cut,
$E(B-V)$
cut and manual inspection. We then measured their radio continuum flux densities using RACS-low and VLASS images.
We found no significant radio emission from our passive spiral sample. Their flux densities are all within
$3\sigma$
of zero and the exceptions are consistent with noise or contamination in the radio continuum images. The central flux densities from the stacked RACS-low and VLASS images of the passive spiral galaxy population are also consistent with noise. Assuming radio continuum luminosity is proportional to the K-band luminosity, the average RACS-low radio luminosity is
$ L_\nu = 10^{9.01-0.4 M_k} \lesssim 10^{20} \mathrm{\;W/Hz}$
, which is lower than the radio luminosities of passive early-type galaxies.
Passive spiral galaxies on average have lower radio luminosities than slow- and fast-rotator passive early-type galaxies. We conclude that radio emission from passive galaxies is correlated with kinematics and morphology, although we cannot identify the direct causal link. While radio-mode AGN feedback may play a role in truncating and regulating star formation in some passive galaxies, the lack of radio-emitting AGNs in passive spiral galaxies suggests that AGN feedback is not significant in these galaxies.
Acknowledgement
This work used data from RACS, VLASS, WISE, HyperLeda, RC3, 2MRS, Pan-STARRS1, SDSS, SkyMapper, Legacy Surveys and NED. The Australian Square Kilometre Array Pathfinder is part of the Australia Telescope National Facility which is managed by CSIRO. Operation of ASKAP is funded by the Australian Government with support from the National Collaborative Research Infrastructure Strategy. ASKAP uses the resources of the Pawsey Supercomputing Centre. The establishment of ASKAP, the Murchison Radio-astronomy Observatory, and the Pawsey Supercomputing Centre are initiatives of the Australian Government, with support from the Government of Western Australia and the Science and Industry Endowment Fund. We acknowledge the Wajarri Yamatji as the traditional owners of the Murchison Radio-astronomy Observatory site. The National Radio Astronomy Observatory is a facility of the National Science Foundation operated under a cooperative agreement by Associated Universities, Inc. CIRADA is funded by a grant from the Canada Foundation for Innovation 2017 Innovation Fund (Project 35999), as well as by the Provinces of Ontario, British Columbia, Alberta, Manitoba and Quebec. This paper makes use of services or code that have been provided by STScI, CASDA and CADC. We thank an anonymous referee whose comments and suggestions significantly improved the manuscript.
Data availability statement
The code and complete Table 1 (in CSV format) are archived by Monash University and available via https://doi.org/10.26180/28852079.v1.
Appendix A. Radio detection of a low-SFR spiral
Although we do not detect radio emission from passive spiral galaxies, we do observe AGN-powered radio emission from NGC 1367 (NGC 1371), a low-SFR SBa spiral galaxy. Its RACS-low radio flux density at 887.5 MHz, measured with an elliptical aperture, is 19.7 mJy, which is very high compared to the passive spiral galaxies and the other low-SFR spiral galaxies excluded from our sample. Its RACS-low and RACS-mid (1367.5 MHz) radio images in Figure A1 show that it has strong central radio emission with double radio lobes and jets, which are consistent with the findings of Omar and Dwarakanath (Reference Omar and Dwarakanath2005) using GMRT radio continuum imaging and Grundy et al. (Reference Grundy, Wong, Lee-Waddell, Seymour, For, Murugeshan, Koribalski, Madrid, Rhee and Westmeier2023) using the WALLABY survey. Condon, Matthews, and Broderick (Reference Condon, Matthews and Broderick2019) also identified NGC 1367 as an AGN-powered radio source on the basis of its mid-IR to radio flux ratio, using WISE, IRAS and NVSS data. The 6dFGS optical spectrum (Jones et al., Reference Jones, Read, Saunders, Colless, Jarrett, Parker and Fairall2009) of the central
$3.4^{\prime\prime}$
of NGC 1367 shows [N II] in emission and H
${\alpha}$
in absorption, which suggests the nuclear line emission in NGC 1367 is from a LINER or a low-luminosity AGN. NGC 1367 highlights that a subset of spiral galaxies with low SFRs have radio sources powered by AGNs.

Figure A1. Left: radio map of NGC 1367 at 887.5 MHz from RACS-low. Centre: radio map of NGC 1367 at 1367.5 MHz from RACS-mid. Right: continuum-subtracted H
$\alpha$
image of NGC 1367 from Hameed and Devereux (Reference Hameed and Devereux1999). The position of radio emission is not consistent with optical emission, suggesting that the radio emission is powered by an AGN instead of star formation. Traces of little star formation are also seen in the spiral arms in the H
$\alpha$
image. (All three images are matched in the size of
$6.142^{\prime} \times 6.142^{\prime}$
.)
Despite its passive infrared colours, NGC 1367 shows evidence of star formation in optical images and was hence classified as a contaminant of our passive spiral sample. Traces of star formation are seen at the outskirts of the galaxy in the continuum-subtracted H
${\alpha}$
(and [N II]) image from Hameed and Devereux (Reference Hameed and Devereux1999), which we show in Figure A1, and in grz images from Legacy Surveys DR9. NGC 1367 has a low SFR, with a WISE W3 SFR of just
$0.1\;M_\odot \mathrm{\;yr^{-1}}$
(Cluver et al., Reference Cluver, Jarrett, Hopkins, Driver, Liske, Gunawardhana and Taylor2014) even without subtracting the stellar continuum from the NGC 1367 SED.
While it is possible that radio mode AGN feedback is regulating the star formation in NGC 1367, our result of no radio AGNs in passive spiral galaxies suggests that radio AGNs are no longer present in spiral galaxies after their star formation is quenched. If radio mode feedback continues to regulate star formation in passive early-type galaxies, this is not the case in passive spiral galaxies.
NGC 1367 is not the first example of low-SFR spiral galaxies with radio emission primarily powered by an AGN. Kaviraj et al. (Reference Kaviraj, Shabala, Deller and Middelberg2015) identified AGNs with radio luminosities of
$10^{21} - 10^{24} \mathrm{\;W/Hz}$
in spiral host galaxies with SFRs of
$0.14 - 25 \;M_\odot \mathrm{\;yr^{-1}}$
, which are higher in both radio luminosity and SFR than NGC 1367. While WISE infrared colours filter out most star-forming galaxies, the example of NGC 1367 highlights the importance of removing star-forming contaminants because erroneously classifying NGC 1367 as a passive galaxy would significantly alter our conclusions.