Regular Article - Theoretical Physics
PV criticality of the second order quantum corrected Hořava–Lifshitz black hole
School of Physics, Damghan University, P. O. Box 3671641167, Damghan, Iran
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Accepted: 28 August 2019
Published online: 5 September 2019
In this paper, higher order quantum gravity effects on the thermodynamics of Hořava–Lifshitz black hole investigated. Both Kehagius–Sfetsos and Lu–Mei–Pop solutions of Hořava–Lifshitz black hole considered and higher order corrected thermodynamics quantities obtained. The first order correction is logarithmic and second order correction considered proportional to the inverse of entropy. These corrections are due to the thermal fluctuation and interpreted as quantum loop corrections. Effect of such quantum corrections on the stability and critical points of Horava–Lifshitz black holes studied. We find that higher order correction affects critical point and stability of Lu–Mei–Pop solution and yield to the second order phase transition for the case of Kehagius–Sfetsos solution.
© The Author(s), 2019