Title

A Homogeneous Solution of the Einstein-Maxwell Equations

Document Type

Other

Publication Date

7-24-2012

Abstract

We exhibit and analyze a homogeneous spacetime whose source is a pure radiation electromagnetic field [1]. It was previously believed that this spacetime is the sole example of a homogeneous pure radiation solution of the Einstein equations which admits no electromagnetic field (see [2] and references therein). Here we correct this error in the literature by explicitly displaying the electromagnetic source. This result implies that all homogeneous pure radiation spacetimes satisfy the Einstein-Maxwell equations.

PDF and Maple worksheets can be downloaded from the links below.

HomogeneousNullElectrovac.mw (209 kB)
Maple worksheet

HomogeneousNullElectrovac.pdf (219 kB)
PDF version

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