Black Hole Thermodynamics in Carathéodory's Approach

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.

10 pages; elsart style

References in corpus (5)

• Black Holes and the Third Law of Thermodynamics
• Quasi-Homogeneous Thermodynamics and Black Holes
• Why is the black hole entropy (almost) linear in the horizon area?
• Notes on Quasi-Homogeneous Functions in Thermodynamics
• Homogeneity as a bridge between Carathéodory and Gibbs

Cited by in corpus (15)

• Analogue Gravity
• Notes on the Third Law of Thermodynamics.I
• On the thermodynamics of the Hayward black hole
• Black Holes and the Third Law of Thermodynamics
• Quasi-homogeneous black hole thermodynamics
• The third law of thermodynamics, non-extensivity, and energy definition in black hole physics
• Geometric thermodynamics: black holes and the meaning of the scalar curvature
• A Hamiltonian approach for the Thermodynamics of AdS black holes
• Adiabatic evolution of Hayward black hole
• Adiabatic analysis of the rotating BTZ black hole
• Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
• Constantin Carathéodory axiomatic approach and Grigory Perelman thermodynamics for geometric flows and cosmological solitonic solutions
• Geometrothermodynamic cosmology
• Thermodynamics of a collapsing shell in an expanding Universe
• Carathéodory's thermodynamics of the Schwarzschild black hole surrounded by quintessence