Thermodynamic Instability of Black Holes of Third Order Lovelock Gravity
arXiv:0903.4260 · doi:10.1103/PhysRevD.79.064015
Abstract
In this paper, we compute the mass and the temperature of the uncharged black holes of third order Lovelock gravity and compute the entropy through the use of first law of thermodynamics. We perform a stability analysis by studying the curves of temperature versus the mass parameter, and find that there exists an intermediate thermodynamically unstable phase for black holes with hyperbolic horizon. The existence of this unstable phase for the uncharged topological black holes of third order Lovelock gravity does not occur in the lower order Lovelock gravity. We also perform a stability analysis for a spherical, 7-dimensional black hole of Lovelock gravity and find that while these kinds of black holes for small values of Lovelock coefficients have an intermediate unstable phase, they are stable for large values of Lovelock coefficients. We also find that there exists an intermediate unstable phase for these black holes in higher dimensions. This stability analysis shows that the thermodynamic stability of black holes with curved horizons is not a robust feature of all the generalized theories of gravity.
16 pages, 8 figures
References in corpus (4)
Cited by in corpus (53)
- Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
- Black Holes in Quasi-topological Gravity
- P-V Criticality of Topological Black Holes in Lovelock-Born-Infeld Gravity
- Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
- Holographic Lovelock Gravities and Black Holes
- Four-dimensional black holes in Einsteinian cubic gravity
- Black Hole Thermodynamics in MOdified Gravity (MOG)
- Black Holes in (Quartic) Quasitopological Gravity
- (Generalized) quasi-topological gravities at all orders
- Pathologies in Asymptotically Lifshitz Spacetimes
- On black holes in higher-derivative gravities
- Thermodynamic geometry of black holes in f(R) gravity
- Universal black hole stability in four dimensions
- Quasi-Topological Lifshitz Black Holes
- Stability of Lovelock Black Holes under Tensor Perturbations
- Slowly rotating black holes in Einsteinian cubic gravity
- Lovelock Thin-Shell Wormholes
- Black hole thermodynamics in Lovelock gravity's rainbow with (A)dS asymptote
- Instability of Small Lovelock Black Holes in Even-dimensions
- Black hole phase transitions in Hořava-Lifshitz gravity
- Black Holes without Mass and Entropy in Lovelock Gravity
- Fatal Effects of Charges on Stability of Black Holes in Lovelock Theory
- Extremal Rotating Black Holes in Einsteinian Cubic Gravity
- Quasi-topological Reissner-Nordström Black Holes
- Thermodynamics of Lovelock-Lifshitz Black Branes
- Holographic charged fluid dual to third order Lovelock gravity
- Slowly rotating charged black holes in anti-de Sitter third order Lovelock gravity
- Thermodynamics of Gauss-Bonnet-Born-Infeld black holes in AdS space
- Maxwell's equal area law for Lovelock Thermodynamics
- Thermodynamics of third order Lovelock anti-de Sitter black holes revisited
- Quasinormal Modes of Scalar Field in Five-dimensional Lovelock Black Hole Spacetime
- Lovelock black holes with nonmaximally symmetric horizons
- Thermodynamics of Third Order Lovelock-Born-Infeld Black Holes
- Entropy from near-horizon geometries of Killing horizons
- Time dependence of complexity for Lovelock black holes
- Criticality in Third Order Lovelock Gravity and the Butterfly effect
- Hamiltonian Formulation of Scalar Field Collapse in Einstein Gauss Bonnet Gravity
- Reissner-Nordstrom Black Holes in Quartic Quasi-Topological Gravity Theory
- Static and Radiating Solutions of Lovelock Gravity in the Presence of a Perfect Fluid
- Black hole solution in third order Lovelock gravity has no Gauss-Bonnet limit
- On the thermal stability of a static spherically symmetric black holes in Nash embedding framework
- Non-extended phase space thermodynamics of Lovelock AdS black holes in grand canonical ensemble
- Effects of Lovelock gravity on the Joule-Thomson expansion
- Spherically symmetric gravitational collapse of a dust cloud in third order Lovelock Gravity
- Surface term, Virasoro algebra, and Wald entropy of black holes in higher-curvature gravity
- Non-analyticity of holographic Rényi entropy in Lovelock gravity
- Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity
- A new metric for rotating black holes in Gauss-Bonnet gravity
- A new metric for rotating charged Gauss-Bonnet black holes in AdS spaces
- Higher-Curvature Gravity, Black Holes and Holography
- Counterterms for Static Lovelock Solutions
- Generalized volume-complexity for Lovelock black holes
- Classical instability in Lovelock gravity