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Black Hole Thermodynamics in Carathéodory's Approach

F. Belgiorno
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Abstract

We show that, in the framework of Carathéodory's approach to thermodynamics, one can implement black hole thermodynamics by realizing that there exixts a quasi-homogeneity symmetry of the Pfaffian form $\deq$ representing the infinitesimal heat exchanged reversibly by a Kerr-Newman black hole; this allow us to calculate readily an integrating factor, and, as a consequence, a foliation of the thermodynamic manifold can be recovered.

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F. Belgiorno. 2005-12-28. Black Hole Thermodynamics in Carathéodory's Approach. https://doi.org/10.1016/s0375-9601(03)00685-6

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