2 research outputs found
Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
We study the thermodynamics and the thermodynamic geometries of charged
rotating BTZ (CR-BTZ) black holes in (2+1)-gravity. We investigate the
thermodynamics of these systems within the context of the Weinhold and
Ruppeiner thermodynamic geometries and the recently developed formalism of
geometrothermodynamics (GTD). Considering the behavior of the heat capacity and
the Hawking temperature, we show that Weinhold and Ruppeiner geometries cannot
describe completely the thermodynamics of these black holes and of their
limiting case of vanishing electric charge. In contrast, the Legendre
invariance imposed on the metric in GTD allows one to describe the CR-BTZ black
holes and their limiting cases in a consistent and invariant manner
Geometrothermodynamics in Horava-Lifshitz gravity
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.Comment: Preliminary draf