Thermodynamic response functions and Maxwell relations for a Kerr black hole

• Autores: L. Escamilla, J. Torres-Arenas
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 60, Nº. 1, 2014, págs. 59-68
• Idioma: inglés
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• Resumen

  • Assuming the existence of a fundamental thermodynamic relation, the classical thermodynamics of a black hole with mass and angular momentum is given. New definitions of the response functions and TdS equations are introduced and mathematical analogous of the Euler equation and Gibbs-Duhem relation are founded. Thermodynamic stability is studied from concavity conditions, resulting in an unstable equilibrium at all the domain except for a region of local stable equilibrium. The Maxwell relations are written, allowing to build the thermodynamic squares. Our results shown an interesting analogy between thermodynamics of gravitational and magnetic systems.