Topologically massive gravito-electrodynamics: exact solutions

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.

15 pages, LaTeX, no figures

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• Topologically massive magnetic monopoles
• Warped $Ad{S}_3$ black hole in minimal massive gravity with first order formalism
• Liouville Dressed Weights and Renormalization of Spin in Topologically Massive Gravity
• Rotating Magnetic Solutions for 2+1D Einstein Maxwell Chern-Simons
• Critical points of WAdS/CFT and higher-curvature gravity