Thermodynamic geometry of black holes in f(R) gravity

Soroushfar, Saheb; Saffari, Reza; Kamvar, Negin

doi:10.1140/epjc/s10052-016-4311-6

Cited by 61 publications

(32 citation statements)

References 60 publications

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“…In this section, we study the geometric structure of Weinhold, Ruppiner, Quevedo and HPEM formalisms, and investigate phase transition of a charged AdS black hole with a global monopole. The Weinhold geometry is specified in mass representation as [19] g W ij = ∂ i ∂ j M (S, l, Q), (4.1) and the line element for a charged AdS black hole with a global monopole is given by [30]…”

Section: Thermodynamic Geometrymentioning

confidence: 99%

Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics

Soroushfar

Upadhyay

2020

Physics Letters B

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In order to study the phase transition through thermodynamic geometry, we consider the charged AdS black hole with global monopole. We first introduce thermodynamics of charged AdS black hole with global monopole by discussing the dependence of Hawking temperature, specific heat and P − v curve on horizon radius and monopole parameter. By implementing various thermodynamic geometry methods, for instance, Weinhold, Ruppiner, Quevedo and HPEM formulations, we derive corresponding scalar curvatures for charged AdS black hole with a global monopole. Here, we observe that, in contrast to Weinhold and Ruppeiner methods, HPEM and Quevedo formulations provide more information about the phase transition of the charged AdS black hole with a global monopole.

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Section: Thermodynamic Geometrymentioning

confidence: 99%

Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics

Soroushfar

Upadhyay

2020

Physics Letters B

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“…According to Ruppeiner's proposal, the Riemannian geometry could give insight into the underly-ing statistical mechanical system. Inspired by the close connection with phase transitions, thermodynamic state space geometry has been extensively adopted for black hole research [53,65,[73][74][75][76][77][78][79]. To begin with, the metric defined by Ruppeiner [64] is given by…”

Section: Thermodynamic State Space Geometry and Microscopic Propermentioning

confidence: 99%

Q − Φ criticality and microstructure of charged AdS black holes in f(R) gravity

Deng

Huang

2017

Int. J. Mod. Phys. A

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The phase transition and critical behaviors of charged AdS black holes in [Formula: see text] gravity with a conformally invariant Maxwell (CIM) source and constant curvature are further investigated. As a highlight, this research is carried out by employing new state parameters [Formula: see text] and contributes to deeper understanding of the thermodynamics and phase structure of black holes. Our analyses manifest that the charged [Formula: see text]-CIM AdS black hole undergoes a first-order small–large black hole phase transition, and the critical behaviors qualitatively behave like a Van der Waals liquid–vapor system. However, differing from the case in Einstein’s gravity, phase structures of the black holes in [Formula: see text] theory exhibit an interesting dependence on gravity modification parameters. Moreover, we adopt the thermodynamic geometry to probe the black hole microscopic properties. The results show that, on the one hand, both the Ruppeiner curvature and heat capacity diverge exactly at the critical point, on the other hand, the [Formula: see text]-CIM AdS black hole possesses the property as ideal Fermi gases. Of special interest, we discover a microscopic similarity between the black holes and a Van der Waals liquid–vapor system.

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“…gravity. In view of this, various investigations have been discussed with respected to the thermodynamics in the f (R) spacetimes [48][49][50][51]. In these studies, they found that the laws of thermodynamics of f (R) black hole was true.…”

Section: Introductionmentioning

confidence: 99%

Violations of the weak cosmic censorship conjecture in the higher dimensional f(R) black holes with pressure

2020

Eur. Phys. J. C

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We adopt the energy momentum relation of charged particles to study the thermodynamics laws and weak cosmic censorship conjecture of higher-dimensional f (R) AdS black holes in different phase spaces by considering charged particle absorption. In the normal phase space, it turns out that the laws of thermodynamic and the weak cosmic censorship conjecture are valid. In the extended phase space, though the firs law of thermodynamics is valid, the second law of thermodynamics is invalid. More interestingly, the weak cosmic censorship conjecture is shown to be violated since the parameter f (R 0 ) contributes to the final state. The magnitudes of the violations for both the second law and weak cosmic censorship conjecture are dependent on the parameters l, p, f (R 0 ).

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Thermodynamic geometry of black holes in f(R) gravity

Cited by 61 publications

References 60 publications

Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics

Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics

Q − Φ criticality and microstructure of charged AdS black holes in f(R) gravity

Violations of the weak cosmic censorship conjecture in the higher dimensional f(R) black holes with pressure

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