Article
A New Non-Inheriting Homogeneous Solution of the Einstein-Maxwell Equations with Cosmological Term
General Relativity and Gravitation
(2022)
Abstract
We find a new homogeneous solution to the Einstein-Maxwell equations with a cosmological term. The spacetime manifold is R × S^3. The spacetime metric admits a simply transitive isometry group G = R × SU(2) of isometries and is 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. See https://rdcu.be/cJe3efor a published version of this paper.
Keywords
- Einstein equations,
- Maxwell equations,
- Electrovacuum,
- Exact solution
Disciplines
Publication Date
2022
DOI
https://doi.org/10.1007/s10714-022-02913-8
Citation Information
Ian M Anderson and Charles G Torre. "A New Non-Inheriting Homogeneous Solution of the Einstein-Maxwell Equations with Cosmological Term" General Relativity and Gravitation Vol. 54 (2022) p. 27 Available at: http://works.bepress.com/charles_torre/96/