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Topologically massive gravito-electrodynamics: exact solutions
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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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Optimal Control Theory of the (2+1)-Dimensional BTZ Black Hole
Geodesics of the Weinhold and Ruppeiner thermodynamic metrics are computed for the BTZ black hole and interpreted as optimal evaporation/accretion protocols.
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