Thermodynamic metrics and black hole physics

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Abstract

We give a brief survey of thermodynamic metrics, in particular the Hessian of the entropy function, and how they apply to black hole thermodynamics. We then provide a detailed discussion of the Gibbs surface of Kerr black holes. In particular, we analyze its global properties and extend it to take the entropy of the inner horizon into account. A brief discussion of Kerr-Newman black holes is included.

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Åman, J. E., Bengtsson, I., & Pidokrajt, N. (2015). Thermodynamic metrics and black hole physics. Entropy, 17(9), 6503–6518. https://doi.org/10.3390/e17096503

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