Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

Ma, Meng-Sen; Zhao, Ren; Liu, Yansong

doi:10.1088/1361-6382/aa8000

Cited by 21 publications

(8 citation statements)

References 40 publications

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“…It is shown that the effective thermodynamic quantity of DSBHMG also has the phase transition characteristics similar to that of van der Waals system. From formula (19), the heat capacity of DSBHMG at constant volume is not zero, which is consistent with the result that this heat capacity of van der Waals system is not zero. From the curve of C P ef f − x, we know that the stability of DSBHMG depends on the value of x .…”

Section: Conclusion and Discussionsupporting

confidence: 87%

Phase transition and entropic force of de Sitter black hole in massive gravity

Zhang

et al. 2021

Eur. Phys. J. C

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It is well known that de Sitter(dS) black holes generally have a black hole horizon and a cosmological horizon, both of which have Hawking radiation. But the radiation temperature of the two horizons is generally different, so dS black holes do not meet the requirements of thermal equilibrium stability, which brings certain difficulties to the study of the thermodynamic characteristics of black holes. In this paper, dS black hole is regarded as a thermodynamic system, and the effective thermodynamic quantities of the system are obtained. The influence of various state parameters on the effective thermodynamic quantities in the massive gravity space-time is discussed. The condition of the phase transition of the de Sitter black hole in massive gravity space-time is given. We consider that the total entropy of the dS black hole is the sum of the corresponding entropy of the two horizons plus an extra term from the correlation of the two horizons. By comparing the entropic force of interaction between black hole horizon and the cosmological horizon with Lennard-Jones force between two particles, we find that the change rule of entropic force between the two system is surprisingly the same. The research will help us to explore the real reason of accelerating expansion of the universe.

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Section: Conclusion and Discussionsupporting

confidence: 87%

Phase transition and entropic force of de Sitter black hole in massive gravity

Zhang

et al. 2021

Eur. Phys. J. C

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“…And the same author concluded that no P − V criticality exists in a topological charged HL black hole [57]. In the framework of horizon thermodynamics proposed by Padmanabhan [58], we also studied the HL black hole and found a universal phase structure and the P − V criticality [59].…”

Section: Introductionmentioning

confidence: 75%

Peculiar P−V criticality of topological Hořava-Lifshitz black holes

Wang

2017

Phys. Rev. D

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We demonstrate the existence of P − V criticality of the topological Hořava-Lifshitz(HL) black holes with a spherical horizon (k = 1) in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are nearly the same as those of van der Waals(VdW) system. For the uncharged case, the HL black hole has a peculiar P − V criticality. The critical behavior is completely controlled by a parameter , but not the temperature T . When is larger than a critical value c , no matter what the temperature is, there will be the first-order phase transition. Moreover, we find that there is an infinite number of critical points which form a " critical curve ". As far as we know, this is the first time to find this kind of peculiar P − V criticality.

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“…Although, several results concerning instabilities are controversial [10], the simplest solution to this problem is to consider only non-projectable configurations [17]. Despite these difficulties and ambiguities, HLG has been applied in many frameworks, especially in black hole physics and cosmology [18][19][20][21]. In this work, we will consider one of the simplest versions of HLG, in which the conditions of projectability and detailed balance are imposed [3].…”

Section: Hor ˇAva-lifshitz Dynamicsmentioning

confidence: 99%

Quantum signatures from Hoava–Lifshitz cosmography

Escamilla-Rivera

Quevedo

2021

Class. Quantum Grav.

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In this paper we propose an alternative cosmography by considering Hořava–Lifshitz gravity as a model of quantum gravity (QG) to search for quantum effects at the cosmological level. For our analyses we consider current late Universe surveys and a gravitational waves forecast from Einstein telescope. We found naturally a non-flat scenario with Ω k = − 0.02 1 − 0.029 + 0.023 with H 0 = 71.90 4 − 1.347 + 1.406 , without showing the standard reported 3.4-σ inconsistency. Furthermore, we obtained a specific value for the Hořava parameter ω ≈ −3.8 × 10−14, which can be interpreted as a measure of a quantum effect and could be used to further test this QG model. We conclude that classically, according to the ΛCDM model, our Universe seems to be spatially flat, but in fact, it is curved from a quantum point of view.

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Phase transition and thermodynamic stability of topological black holes in Hořava–Lifshitz gravity

Cited by 21 publications

References 40 publications

Phase transition and entropic force of de Sitter black hole in massive gravity

Phase transition and entropic force of de Sitter black hole in massive gravity

Peculiar P−V criticality of topological Hořava-Lifshitz black holes

Quantum signatures from Hoava–Lifshitz cosmography

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