Working in the signature (+ + + -) and units such that G = 1 = c, it was found a solution of Einstein-Maxwell equations with λ (without current and pseudo-current). In real coordinates x μ=(p, σ, q, τ) the solutions is:(1) (2) where(3) is pure imaginary; in (1) ‘d’ denotes the external differential]. Not all constants m 0, n 0, e 0, g 0, b, ∊, λ are physically significant: by re-scaling coordinates ∊ can be made equal to +1,0, or −1. The solution is of the type D: the double Debever-Penrose vectors(4) have the common complex expansion Z = (q + ip)-1. Among C (a)'s only C (3) given by:(5) is in general ≠0. The invariants of the electromagnetic field are:(6)