Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity

Estrada, Milko; Aros, Rodrigo

doi:10.48550/arxiv.1909.07280

Cited by 2 publications

(2 citation statements)

References 64 publications

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“…[44] by using Hamiltonian formalism. Furthermore, the critical behavior of pure Lovelock black holes was explored [45]. It was shown that the critical exponents and the critical behavior of pure Lovelock black holes are the same as the van der Waals fluid (VdW).…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic geometry of pure Lovelock black holes

Khuzani,

Mirza,

Kachi

2022

Preprint

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In this paper, we study thermodynamic geometry for pure Lovelock black holes. The thermodynamics scalar curvature contains information about the interaction of microstates that might be repulsive or attractive. We obtain critical exponents and critical amplitudes of scalar and extrinsic curvatures for small and large black holes for various dimensions. We demonstrate that this model's thermodynamic Ricci scalar scaling behavior has a universal behavior for different dimensions. Moreover, we determine the order of phase transition by using Ehrenfest's equations and the Prigogine-Defay ratio. We also consider the extended phase space and investigate the critical behavior of the pure Lovelock black holes for various dimensions.

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Section: Introductionmentioning

confidence: 99%

Thermodynamic geometry of pure Lovelock black holes

Khuzani,

Mirza,

Kachi

2022

Preprint

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“…[29]. Thermodynamic extended phase space and P − V criticality of the black holes in pure Lovelock gravity have been also probed [30]. Based on the advantages of the quasitopological gravity over the Lovelock theory as mentioned, now, we are willing to obtain the solutions of the pure quasitopological Yang-Mills black hole in the second part of this paper.…”

Section: Introductionmentioning

confidence: 99%

Yang-Mills black holes in Quasitopological gravity

Naeimipour,

Mirza,

Jahromi

2021

Preprint

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In this paper, we formulate two new classes of black hole solutions in higher curvature quartic quasitopological gravity with nonabelian Yang-Mills theory. At first step, we consider the SO(n) and SO(n − 1, 1) semisimple gauge groups. We obtain the analytic quartic quasitopological Yang-Mills black hole solutions. Real solutions are only accessible for the positive value of the redefined quartic quasitopological gravity coefficient, µ4. These solutions have a finite value and an essential singularity at the origin, r = 0 for space dimension higher than 8. We also probe the thermodynamic and critical behavior of the quasitopological Yang-Mills black hole. The obtained solutions may be thermally stable only in the canonical ensemble. They may also show a first order phase transition from a small to a large black hole. In the second step, we obtain the pure quasitopological Yang-Mills black hole solutions. For the positive cosmological constant and the space dimensions greater than eight, the pure quasitopological Yang-Mills solutions have the ability to produce both the asymptotically AdS and dS black holes for respectively the negative and positive constant curvatures, k = −1 and k = +1. This is unlike the quasitopological Yang-Mills theory which can lead to just the asymptotically dS solutions for Λ > 0. The pure quasitopological Yang-Mills black hole is not thermally stable.

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Thermodynamic extended phase space and $P-V$ criticality of black holes at Pure Lovelock gravity

Cited by 2 publications

References 64 publications

Thermodynamic geometry of pure Lovelock black holes

Thermodynamic geometry of pure Lovelock black holes

Yang-Mills black holes in Quasitopological gravity

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