Black Hole Thermodynamics in Carathéodory's Approach

Details Black Hole Thermodynamics in Carathéodory's Approach Black Hole Thermodynamics in Carathéodory's Approach

2002-10-07

arxiv.org/abs/gr-qc/0210020v2

Phys.Lett. A312 (2003) 324-330

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages; elsart style

Scientific paper

10.1016/S0375-9601(03)00685-6

We show that, in the framework of Carath\'eodory'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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