Thermodynamical Quantities of Horava-Lifshitz Black Hole

Sadeghi, J.; Jafarzade, Kh.; Pourhassan, B.

doi:10.1007/s10773-012-1281-9

Cited by 47 publications

(35 citation statements)

References 11 publications

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“…• The effect of varying the cosmological constant on the thermodynamics of Horava-Lifshitz black holes was investigated in [121].…”

Section: D−2mentioning

confidence: 99%

Black holes and Boyle's law — The thermodynamics of the cosmological constant

Dolan

2015

Mod. Phys. Lett. A

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When the cosmological constant, Λ, is interpreted as a thermodynamic variable in the study of black hole thermodynamics a very rich structure emerges. It is natural to interpret Λ as a pressure and define the thermodynamically conjugate variable to be the thermodynamic volume of the black hole (which need not bear any relation to the geometric volume). Recent progress in this new direction for black hole thermodynamics is reviewed.

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“…• The effect of varying the cosmological constant on the thermodynamics of Horava-Lifshitz black holes was investigated in [121].…”

Section: D−2mentioning

confidence: 99%

Black holes and Boyle's law — The thermodynamics of the cosmological constant

Dolan

2015

Mod. Phys. Lett. A

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“…In the cases of spherical(k = 1) and flat spaces (k = 0), detailed studies are done in [32]. And it is noted that, in both cases the black hole doesn't show any kind of phase transition behaviors.…”

Section: Jhep01(2015)019mentioning

confidence: 99%

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

Suresh

Tharanath

Kuriakose

2015

J. High Energ. Phys.

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Abstract: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.

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“…The most interesting case is that of hyperbolic 2-space in which a phase transition takes place at the point where specific heat diverges. For uncharged Hořava-Lifshitz black hole, the thermodynamic quantities have been obtained in extended phase space [36]. There, it is shown that the phase transition takes place only for hyperbolic space.…”

Section: Introductionmentioning

confidence: 99%

Phase transition and thermodynamic stability in extended phase space and charged Hořava–Lifshitz black holes

Poshteh

Riazi

2017

Gen Relativ Gravit

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For charged black holes in Hořava-Lifshitz gravity, a second order phase transition takes place in extended phase space where the cosmological constant is taken as thermodynamic pressure. We relate the second order nature of phase transition to the fact that the phase transition occurs at a sharp temperature and not over a temperature interval. Once we know the continuity of the first derivatives of the Gibbs free energy, we show that all the Ehrenfest equations are readily satisfied. We study the effect of the perturbation of the cosmological constant as well as the perturbation of the electric charge on thermodynamic stability of Hořava-Lifshitz black hole. We also use thermodynamic geometry to study phase transition in extended phase space. We investigate the behavior of scalar curvature of Weinhold, Ruppeiner, and Quevedo metric in extended phase space of charged Hořava-Lifshitz black holes. It is checked if these curvatures could reproduce the result of specific heat for the phase transition.

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Thermodynamical Quantities of Horava-Lifshitz Black Hole

Cited by 47 publications

References 11 publications

Black holes and Boyle's law — The thermodynamics of the cosmological constant

Black holes and Boyle's law — The thermodynamics of the cosmological constant

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

Phase transition and thermodynamic stability in extended phase space and charged Hořava–Lifshitz black holes

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