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Multifractal signatures of gravitational waves detected by LIGO

Published online by Cambridge University Press:  30 December 2019

Daniel B. de Freitas ,
Mackson M. F. Nepomuceno  and
J. R. De Medeiros
Daniel B. de Freitas
Affiliation:
Departamento de Fsica, Universidade Federal do Ceará, Caixa Postal 6030, Campus do Pici, 60455-900 Fortaleza, Ceará, Brazil email: danielbrito@fisica.ufc.br
Mackson M. F. Nepomuceno
Affiliation:
Departamento de Ciência e Tecnologia, Universidade Federal Rural do Rio Grande do Norte-UFERSA, Campus Caraúbas, Rio Grande do Norte, Brazil
J. R. De Medeiros
Affiliation:
Departamento de Fsica Teórica e Experimental, Universidade Federal do Rio Grande do Norte-UFRN, Rio Grande do Norte, Brazil
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Abstract

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We analyze the data from the 6 gravitational waves signals detected by LIGO through the lens of multifractal formalism using the MFDMA method, as well as shuffled and surrogate procedures. We identified two regimes of multifractality in the strain measure of the time series by examining long memory and the presence of nonlinearities. The moment used to divide the series into two parts separates these two regimes and can be interpreted as the moment of collision between the black holes. An empirical relationship between the variation in left side diversity and the chirp mass of each event was also determined.

Keywords

gravitational wavesmethods: statistical

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