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BH5 - Geometric approaches to the thermodynamics of black holes

Speaker

García Ariza, Miguel Ángel

Coauthors

Talk Title

Thermodynamic Structure Of The Space Of Equilibrium States Of The Kerr-Newman Black Hole Family

Abstract

Spaces of equilibrium states of thermodynamic systems can be portrayed as a special class of smooth manifolds endowed with a geometric structure, formed by a degenerate Hessian metric and an Euler vector field, referred to as "thermodynamic structures". If such a structure is defined on the space of equilibrium states of Kerr-Newman black holes, the points of its embedded Riemannian submanifolds at which the scalar curvature diverges correspond to the states of absolute zero of the system. This result reinforces the conjecture linking the divergences of the scalar curvature of Ruppeiner's geometry to thermodynamic critical points.

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