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Thermodynamics of "exotic" BTZ black holes
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A number of three-dimensional (3D) gravity models, such as 3D conformal gravity, admit "exotic" black hole solutions: the metric is the same as the BTZ metric of 3D Einstein gravity but with reversed roles for mass and angular momentum, and an entropy proportional to the length of the inner horizon instead of the event horizon. Here we show that the BTZ solutions of the "exotic" 3D Einstein gravity (with parity-odd action but Einstein field equations) are exotic black holes, and we investigate their thermodynamics. The first and second laws of black hole thermodynamics still apply, and the entropy still has a statistical interpretation.
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Thermodynamic Instabilities of Generalized Exotic BTZ Black Holes
Generalized exotic BTZ black holes can have positive specific heat at constant volume despite violating the reverse isoperimetric inequality, countering a recent conjecture.
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