Geometrothermodynamics in Horava-Lifshitz gravity

Details Geometrothermodynamics in Horava-Lifshitz gravity Geometrothermodynamics in Horava-Lifshitz gravity

2011-01-24

arxiv.org/abs/1101.4494v1

Physics

High Energy Physics

High Energy Physics - Theory

Preliminary draft

Scientific paper

We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Ho\v{r}ava--Lifshitz gravity. In particular, we show that a Legendre invariant metric derived in the context of geometrothermodynamics for the equilibrium manifold reproduces correctly the phase transition structure of these black holes. Moreover, the limiting cases in which the mass, the entropy or the Hawking temperature vanish are also accompanied by curvature singularities which indicate the limit of applicability of the thermodynamics and the geometrothermodynamics of black holes. The Einstein limit and the case of a black hole with flat horizon are also investigated.

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