A New Non-Inheriting Homogeneous Solution of the Einstein-Maxwell Equations with Cosmological Term

I. M. Anderson; C. G. Torre

doi:10.1007/s10714-022-02913-8

paper

A New Non-Inheriting Homogeneous Solution of the Einstein-Maxwell Equations with Cosmological Term

arXiv:2109.02558 · doi:10.1007/s10714-022-02913-8

Abstract

We find a new homogeneous solution to the Einstein-Maxwell equations with a cosmological term. The spacetime manifold is $R \times S^{3}$ . The spacetime metric admits a simply transitive isometry group $G = R \times S U (2)$ of isometries and is of Petrov type I. The spacetime is geodesically complete and globally hyperbolic. The electromagnetic field is non-null and non-inheriting: it is only invariant with respect to the $S U (2)$ subgroup and is time-dependent in a stationary reference frame.

14 pages