Black Hole Thermodynamics in Horava Lifshitz Gravity and the Related Geometry

Abstract

Recently, Ho$\breve{r}$ava proposed a non-relativistic renormalizable theory of gravity which is essentially a field theoretic model for a UV complete theory of gravity and reduces to Einstein gravity with a non-vanishing cosmological constant in IR. Also the theory admits a Lifshitz scale-invariance in time and space with broken Lorentz symmetry at short scale. On the other hand, at large distances higher derivative terms do not contribute and the theory coincides with general relativity. Subsequently, Cai and his collaborators and then Catiuo et al have obtained black hole solutions in this gravity theory and studied the thermodynamic properties of the black hole solution. In the present paper, we have investigated the black hole thermodynamic for two choices of the entropy function - a classical and a topological in nature. Finally, it is examined whether a phase transition is possible or not.

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References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Horava-Lifshitz Cosmology
• The black hole and FRW geometries of non-relativistic gravity
• Solutions to Horava Gravity
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Topological Black Holes in Horava-Lifshitz Gravity
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity

Cited by in corpus (11)

• Quantum gravity effects on Hořava-Lifshitz black hole
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• PV criticality of the second order quantum corrected Horava-Lifshitz black hole
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Thermodynamics and Glassy Phase Transition of Regular Black Holes
• Modified Cosmic Chaplygin AdS Black Hole
• The phase transition and holographic in modified Horava -Lifshitz black hole
• Local thermodynamics of KS black hole
• Black Holes in Hořava Gravity with Higher Derivative Magnetic Terms
• Thermodynamics of $d$-Dimensional Charged AdS (Anti-de Sitter) Black Holes: Hamiltonian Approach and Clapeyron Equation
• Area spectrum and thermodynamics of KS black holes in Hořava gravity