Thermodynamics of Black Holes in Horava-Lifshitz Gravity

Abstract

By using the canonical Hamiltonian method, we obtain the mass and entropy of the black holes with general dynamical coupling constant $\lambda$ in Hoř ava-Lifshitz Gravity. Regardless of whether the horizon is sphere, plane or hyperboloid, we find these black holes are thermodynamically stable in some parameter space and unstable phase also exists in other parameter space. The relation between the entropy and horizon area of the black holes has an additional coefficient depending on the coupling constant $\lambda$, compared to the $\lambda =1$ case. For $\lambda =1$, the well-known coefficient of one quarter is recovered in the infrared region.

Latex, 13 pages, 3 figures, v2: two references added,v3: discussion and references added, accepted by Phys.Lett.B

References in corpus (7)

• Horava-Lifshitz Cosmology
• Solutions to Horava Gravity
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• On the z=4 Horava-Lifshitz Gravity
• Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
• Correlation Functions in Non-Relativistic Holography
• On IR solutions in Horava gravity theories

Cited by in corpus (5)

• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Towards constraining of the Horava-Lifshitz gravities
• Caustic avoidance in Horava-Lifshitz gravity
• Generalized uncertainty principle and Hořava-Lifshitz gravity
• Strong Coupling Quantum Einstein Gravity at a z=2 Lifshitz Point