Abstract
We speculate on various thermodynamic features of the inner horizon and outer horizons of Kehagias-Sfetsos (KS) black hole (BH) in the background of the Hořava-Lifshitz gravity. We compute particularly the area product, area sum, area minus and area division of the BH horizons. We find that they all are not showing universal behavior whereas the product is a universal quantity (Pradhan P., Phys. Lett. B, 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 . We also observe that the first law of BH thermodynamics and Smarr-Gibbs-Duhem relations do not hold for this BH. The underlying reason behind this failure is due to the scale invariance of the coupling constant. Moreover, we compute the Cosmic-Censorship-Inequality for this BH which gives the lower bound for the total mass of the spacetime and it is supported by the cosmic cencorship conjecture. Finally, we discuss the KS/CFT correspondence via a thermodynamic procedure.
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