Thermodynamics and Thermodynamic geometry of Park black hole

Abstract

We study the thermodynamics and thermodynamic geometry of Park black hole in Hořava gravity. By incorporating the ideas of differential geometry, we have investigated the thermodynamics using Weinhold geometry and Ruppeiner geometry. We have also analyzed it in the context of newly developed geometrothermodynamics(GTD). Divergence of specific heat is associated with the second order phase transition of black hole. Here in the context of Park black hole, both Weinhold's metric and Ruppeiner's metric well explain this phase transition. But these explanations depend on the choice of potential. Hence the Legendre invariant GTD is used, and with the true singularities in the curvature scalar, GTD well explain the second order phase transition. All these methods together give an exact idea of all the behaviors of the Park black hole thermodynamics.

11 pages, 9 figures

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
• Solutions to Horava Gravity
• Geometrothermodynamics
• Cosmology of the Lifshitz universe
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• Geometrothermodynamics of black holes

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