Thermodynamics of Hořava-Lifshitz black holes
arXiv:2103.04365 · doi:10.1103/PhysRevD.103.104024
Abstract
Thermodynamics of Hořava-Lifshitz black holes in 3+1 dimensions is studied in extended phase space. By using the scaling argument we find the Smarr relation and the first law for the black hole solutions of Hořava-Lifshitz gravity. We find that it is necessary to take into account the variation of dimensionful parameters of the theory in the first law. We find that the reverse isoperimetric inequality can be violated for spherical, flat, and hyperbolic horizons and in all such cases we have black holes for which the specific heat at constant pressure and volume are positive. This provides a counterexample to a recent conjecture stating that black holes violating the reverse isoperimetric inequality are thermodynamically unstable. We find for Hořava-Lifshitz black holes with hyperbolic horizons that there are two critical points: one showing Van der Waals behavior, the other reverse Van der Waals behavior.
27 pages, one-column, 13 figures, v2: matched the published version
References in corpus (15)
- Quantum Gravity at a Lifshitz Point
- Massive Gravity in Three Dimensions
- Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
- Membranes at Quantum Criticality
- Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
- Fermions Tunnelling from Black Holes
- Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
- Solutions to Horava Gravity
- Superfluid Black Holes
- Isolated critical point from Lovelock gravity
- On the z=4 Horava-Lifshitz Gravity
- Black hole phase transitions in Hořava-Lifshitz gravity
- Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity
- Peculiar criticality of topological Hořava-Lifshitz black holes
- Super-entropic black hole with Immirzi hair