<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>λ</mml:mi></mml:mrow></mml:math> Phase Transition in Horava Gravity

Xu, Wei

doi:10.1155/2018/2175818

Cited by 6 publications

(4 citation statements)

References 34 publications

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“…In Refs. [49][50][51], the C P − T curve near the critical point of the LoveLock AdS black holes and the Horava-Lifshitz (HL) AdS black holes is consistent with the C V − T curve of 4 H e. As what we have known, there exists the λ phase transition as 4 H e into the superfluid state. And the reasonable physical explanation have been given: the λ phase transition may be a Bose condensation, and superfluid is related to the Bose body condensed at zero energy level.…”

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confidence: 73%

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Phase Transition of the Horava-Lifshitz AdS Black Holes

Zhao

Zhang

2021

Int J Theor Phys

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Some ones have showed the first-order phase transition of the Horava-Lifshitz (HL) AdS black holes has unique characters from other AdS black holes. While the coexistence zone of the first-order phase transition was not exhibited. As well known the coexistence curve of a black hole carries a lot of information about black hole, which provides a powerful diagnostic of the thermodynamic properties on black hole. We study the first-order phase transition coexistence curves of the HL AdS black holes by the Maxwell’s equal-area law, and give the boundary of two-phase coexistence zone. It is very interesting that the first-order phase transition point is determined by the pressure F on the surface of the HL AdS black hole’s horizon, instead of only the pressure P (or the temperature T). This unique property distinguishes the HL AdS black hole from the other AdS black hole systems. Furthermore, this black hole system have the critical curves, and on which every point stands for a critical point.

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confidence: 73%

“…In this system there are the arbitrary dimensional topological AdS black holes with the metric [50]:…”

Section: )mentioning

confidence: 99%

Phase Transition of the Horava-Lifshitz AdS Black Holes

Zhao

Zhang

2021

Int J Theor Phys

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“…For different values of , there may be critical phenomena in the thermodynamical phase space, but this is not the focus of our study. See [52] for more discussions.…”

Section: Thermodynamics Of Hořava-lifshitz Gravitymentioning

confidence: 99%

Black hole evaporation in Hořava–Lifshitz gravity

Ong

2020

Eur. Phys. J. C

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Hořava–Lifshitz (HL) gravity was formulated in hope of solving the non-renormalization problem in Einstein gravity and the ghost problem in higher derivative gravity theories by violating Lorentz invariance. In this work we consider the spherically symmetric neutral AdS black hole evaporation process in HL gravity in various spacetime dimensions d, and with detailed balance violation parameter $$0\leqslant \epsilon ^2\leqslant 1$$ 0 ⩽ ϵ 2 ⩽ 1 . We find that the lifetime of the black holes under Hawking evaporation is dimensional dependent, with $$d=4,5$$ d = 4 , 5 behave differently from $$d\geqslant 6$$ d ⩾ 6 . For the case of $$\epsilon =0$$ ϵ = 0 , in $$d=4,5$$ d = 4 , 5 , the black hole admits zero temperature state, and the lifetime of the black hole is always infinite. This phenomenon obeys the third law of black hole thermodynamics, and implies that the black holes become an effective remnant towards the end of the evaporation. As $$d\geqslant 6$$ d ⩾ 6 , however, the lifetime of black hole does not diverge with any initial black hole mass, and it is bounded by a time of the order of $$\ell ^{d-1}$$ ℓ d - 1 , similar to the case of Schwarzschild-AdS in Einstein gravity (which corresponds to $$\epsilon ^2=1$$ ϵ 2 = 1 ), though for the latter this holds for all $$d\geqslant 4$$ d ⩾ 4 . The case of $$0<\epsilon ^2<1$$ 0 < ϵ 2 < 1 is also qualitatively similar with $$\epsilon =0$$ ϵ = 0 .

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“…Recently, the idea of including the cosmological constant in the first law of black hole thermodynamics becomes popular. See, e.g., [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] for references and reviews. In particular, in AdS space-time the negative cosmological constant behaves like the pressure, while its conjugate variable can be considered as a thermodynamic volume.…”

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confidence: 99%

On the thermodynamic phase structure of conformal gravity

Yung

2018

Physics Letters B

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The solutions of the Einstein equation are a subset of the solutions of conformal (Weyl) gravity, but the difference from the action means that the black hole thermodynamics of the two gravity theories would be different. In this paper we explore the thermodynamic phase structure for the conformal gravity in the four-dimensional AdS space-time. Special emphasis is put on the dependence on the parameter c1 in the linear-r term in the metric. The thermodynamic phase structure of the conformal gravity is very rich, including two branches of equations of states, negative thermodynamic volume, zeroth-order phase transition, and Hawking-Page like phase transition.

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λ Phase Transition in Horava Gravity

Cited by 6 publications

References 34 publications

Phase Transition of the Horava-Lifshitz AdS Black Holes

Phase Transition of the Horava-Lifshitz AdS Black Holes

Black hole evaporation in Hořava–Lifshitz gravity

On the thermodynamic phase structure of conformal gravity

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