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arXiv · 2109.02558

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

I. M. Anderson·C. G. Torre
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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 $G = R \times SU(2)$ 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 $SU(2)$ subgroup and is time-dependent in a stationary reference frame.

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I. M. Anderson, C. G. Torre. 2021-09-06. A New Non-Inheriting Homogeneous Solution of the Einstein-Maxwell Equations with Cosmological Term. https://doi.org/10.1007/s10714-022-02913-8

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