Abstract

ESCAMILLA, L.  and  TORRES-ARENAS, J.. Thermodynamic response functions and Maxwell relations for a Kerr black hole. Rev. mex. fis. [online]. 2014, vol.60, n.1, pp.59-68. ISSN 0035-001X.

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.

Keywords : Thermodynamics; black holes; long range interactions.

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