Thermodynamic Properties of Kehagias-Sfetsos Black Hole \& KS/CFT Correspondence

Abstract

We speculate on various thermodynamic features of the inner horizon~(${\mathcal{H}}^{-}$) and outer horizons~(${\mathcal{H}}^{+}$) of Kehagias-Sfetsos~(KS) black hole~(BH) in the background of Hořava Lifshitz gravity. We compute particularly the \emph{area product, area sum, area minus and area division} of the BH horizons. We find that they all are \emph{not} showing universal behavior whereas the product is a universal quantity~ [Pradhan P., \textit{Phys. Lett. B}, {\bf 747} (2015) {64}]. Based on these relations, we derive the area bound of all horizons. From the area bound we derive the entropy bound and irreducible mass bound for all the horizons~(${\mathcal{H}}^{\pm }$). We also observe that the \emph{First law} of BH thermodynamics and \emph {Smarr-Gibbs-Duhem } relations do not hold for this BH. The underlying reason behind this failure due to the scale invariance of the coupling constant. Moreover, we compute the \emph{Cosmic-Censorship-Inequality} for this BH which gives the lower bound for the total mass of the spacetime and it is supported by cosmic cencorship conjecture. Finally, we discuss the KS/CFT~(Conformal Field Theory) correspondence via a thermodynamic procedure.

Version accepted in EPL

References in corpus (9)

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• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Solutions to Horava Gravity
• Thermodynamics of Black Holes in Horava-Lifshitz Gravity
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• Inner Cauchy horizon of axisymmetric and stationary black holes with surrounding matter in Einstein-Maxwell theory
• Mass and Thermodynamic Volume in Lifshitz Spacetimes
• Thermodynamic Product Formula for Hořava Lifshitz Black Hole