Geometrothermodynamics of Myers-Perry black holes

Abstract

We consider the thermodynamics and Geometrothermodynamics of the Myers-Perry black holes in five dimensions for three different cases, depending on the values of the angular momenta. We follow Davies approach to study the thermodynamics of black holes and find a non-trivial thermodynamic structure in all cases, which is fully reproduced by the analysis performed with the techniques of Geometrothermodynamics. Moreover, we observe that in the cases when only one angular momentum is present or the two angular momenta are fixed to be equal, i.e. when the thermodynamic system is two dimensional, there is a complete agreement between the divergences of the generalized susceptibilities and the singularities of the equilibrium manifold, whereas when the two angular momenta are fully independent, that is, when the thermodynamic system is three dimensional, additional singularities in the curvature appear. However, we prove that such singularities are due to the changing from a stable phase to an unstable one.

Matches the published version

References in corpus (10)

• Geometrothermodynamics
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Geometrothermodynamics of black holes
• Thermodynamics of phase transition in higher dimensional AdS black holes
• Flat Information Geometries in Black Hole Thermodynamics
• Ehrenfest's scheme and thermodynamic geometry in Born-Infeld AdS black holes
• Thermodynamics of phantom black holes in Einstein-Maxwell-Dilaton theory
• Geometrothermodynamics of higher dimensional black holes
• Thermodynamics, geometrothermodynamics and critical behavior of (2+1)-dimensional black holes
• The conformal metric structure of Geometrothermodynamics

Cited by in corpus (15)

• Topological charged black holes in massive gravity's rainbow and their thermodynamical analysis through various approaches
• Massive charged BTZ black holes in asymptotically (a)dS spacetimes
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• $P-V$ criticality and geometrothermodynamics of black holes with Born-Infeld type nonlinear electrodynamics
• Charged BTZ black holes in the context of massive gravity's rainbow
• Dilatonic BTZ black holes with power-law field
• Geometrical method for thermal instability of nonlinearly charged BTZ Black Holes
• Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry
• Thermogeometric phase transition in a unified framework
• Thermodynamic curvature and ensemble nonequivalence
• Geometrothermodynamics of black holes in Lovelock gravity with a nonlinear electrodynamics
• Thermal fluctuations of (non)linearly charged BTZ black hole in massive gravity
• Effect of Dark Energy in Geometrothermodynamics and Phase Transitions of Regular Bardeen AdS Black Hole
• A consistent and unified picture for critical phenomena of $f(R)$ AdS black holes
• Thermodynamics and geometry of strange quark matter