A unified thermodynamic picture of Hořava-Lifshitz black hole in arbitrary space time

In this paper, we analyze the complete thermodynamic and phase transition phenomena of a black hole solution in Hořava-Lifshitz gravity in arbitrary space time. Nature of phase transition is studied using geometrothermodynamic and Ehrenfest’s scheme of standard thermodynamics. We analytically check the Ehrenfest’s equations near the critical point, which is the point of divergence in the heat capacity. Our analysis revels that this black hole exhibits a second order phase transition.