Geometrothermodynamics in Horava-Lifshitz gravity
arXiv:1101.4494 · doi:10.1088/1751-8113/45/5/055211
Abstract
We investigate the thermodynamic geometries of the most general static, spherically symmetric, topological black holes of the Hořava--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.
Preliminary draft
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- Effect of Dark Energy in Geometrothermodynamics and Phase Transitions of Regular Bardeen AdS Black Hole
- Geometrothermodynamics of five dimensional black holes in Einstein-Gauss-Bonnet-theory
- Black Holes in Hořava Gravity with Higher Derivative Magnetic Terms
- On the true nature of renormalizability in Horava-Lifshitz gravity
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