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Topologically massive gravito-electrodynamics: exact solutions

Karim Ait Moussa·Gérard Clément
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Abstract

We construct two classes of exact solutions to the field equations of topologically massive electrodynamics coupled to topologically massive gravity in 2 + 1 dimensions. The self-dual stationary solutions of the first class are horizonless, asymptotic to the extreme BTZ black-hole metric, and regular for a suitable parameter domain. The diagonal solutions of the second class, which exist if the two Chern-Simons coupling constants exactly balance, include anisotropic cosmologies and static solutions with a pointlike horizon.

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Karim Ait Moussa, Gérard Clément. 1996-02-16. Topologically massive gravito-electrodynamics: exact solutions. https://doi.org/10.1088/0264-9381%2F13%2F8%2F023

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