Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity

Wu, Bin; Wang, Chao; Xu, Zhen-Ming; Yang, Wen-Li

doi:10.1140/epjc/s10052-021-09407-y

Cited by 20 publications

(12 citation statements)

References 100 publications

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“…The critical exponent is 0.537, which is approximately equal to the universal value 1/2. This result is similar to the one earlier obtained in different black holes [22,34,35,38,39].…”

Section: Thermodynamics and Phase Structuresupporting

confidence: 92%

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Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime

Rizwan,

Kumara,

Hegde

et al. 2020

Preprint

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We study the phase structure and the microscopic interactions in regular Bardeen AdS black hole. The stable and metastable phases in the black hole are analysed through coexistence and spinodal curves. The solutions are obtained numerically as the analytic solution to the coexistence curve is not feasible. The P r − T r coexistence equation is obtained using a fitting formula. The coexistence and spinodal curves are plotted in P r − T r and T r − V r planes to explore the phase structure of the black hole. In the second part of our study, we were able to probe the microscopic interactions of regular Bardeen AdS black hole using the novel Ruppeiner geometry proposed by S.W. Wei et.al Phys. Rev. Lett.123, 071103 (2019). It is found that the microscopic interactions are not same in the small black hole (SBH) and large black hole (LBH) phases. In the SBH phase, there exists a repulsive interaction in the microstructure in the low temperature regime. In contrast, the microstructure associated with the LBH phase has attractive interaction throughout the parameter space. We found that, along the coexistence temperature both the SBH and LBH branches diverge to negative infinity with a critical exponent equal to 1/2.

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“…The critical exponent is 0.537, which is approximately equal to the universal value 1/2. This result is similar to the one earlier obtained in different black holes [22,34,35,38,39].…”

Section: Thermodynamics and Phase Structuresupporting

confidence: 92%

“…Soon later, work is extended to 4-dimensional Gauss-Bonnet black holes [36]. Subsequently, the microscopic interactions for 4 − D AdS topological black holes dRGT massive gravity were studied [37,38]. Microstructure was found to be distinct, with the presence of both repulsive and attractive interactions in both the SBH and LBH phases.…”

Section: Introductionmentioning

confidence: 99%

Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime

Rizwan,

Kumara,

Hegde

et al. 2020

Preprint

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“…[103,104]. Study on black holes in this theory has attracted extensive attention recently, ranging from heat engine and Joule-Thomson expansion [105,106], quasinormal modes [107,108], van der Waals-like phase transition [82-84, 105, 109], reentrant phase transitions and triple points [110], phase transition and entropic force [111], thermodynamics and geometrical thermodynamics [112][113][114][115][116], correspondence between black hole solutions of conformal and massive theories of gravity [117].…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional AdS black holes in massive-power-Maxwell theory

Panah¹,

Jafarzade²,

Rincon³

2022

Preprint

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Recently, it was shown that power-Maxwell (PM) theory can remove the singularity of electric field [1]. Motivated by great interest in three-dimensional black holes and a surge of success in studying massive gravity from both the cosmological and astrophysical point of view, we investigate such black hole solutions in de Rham, Gabadadze and Tolley (dRGT) massive theory of gravity in the presence of PM electrodynamics. First, we extract exact three-dimensional solutions in the PM-dRGT massive gravity. Then we study geometrical properties including type of singularity and asymptotic behavior, and show that although there is a singularity at the origin for asymptotical (A)dS, only AdS solutions are covered by an event horizon. Calculating conserved and thermodynamic quantities, we check the validity of the first law of thermodynamics for the corresponding solutions and examine the stability of these black holes in context of canonical ensemble. We continue with the calculation of the optical features of this kind of black holes such as the shadow geometrical shape, the energy emission rate and the deflection angle. Taking into account these optical quantities, we analysis the effective role of the parameters of models on them. We also employ the correspondence between the quasinormal modes in the eikonal limit and shadow radius to study the scalar field perturbations in these backgrounds. Finally, we take advantage of the WKB method and investigate how the quasinormal modes will be disturbed for massive particles.

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“…The interesting studies on thermodynamic geometry of various black holes in different theories of gravity can be seen in Refs. [52][53][54][55][56][57][58][59][60][61][62][63][64].…”

Section: Introduction and Motivationsmentioning

confidence: 99%

Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics

Hirunsirisawat¹,

Nakarachinda²,

Promsiri³

2022

Preprint

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Recently, a novel emergent phase can occur from thermodynamic consideration of the asymptotically flat Reissner-Nordström black hole (RN-AF) using Rényi statistics. We present an analysis of the thermodynamical and mechanical stabilities of the RN-AF in both the Gibbs-Boltzmann (GB) and the alternative Rényi statistics when charge q and electrostatic potential φ are treated as pressure and volume, respectively. Interestingly, the emergent phase of the RN-AF can be both thermodynamically and mechanically stable in some range of parameters in the framework of Rényi thermodynamics. With the construction of the Maxwell equal area law in q − φ plane, the coexistence line between the near-extremal black hole phase and the emergent phase can be found in some values of charge which can be associated as the vapor pressure at which the liquid and gas phases coexist. In the aspect of thermodynamic geometry, the microscopic interaction between the black hole microstructures can be repulsive in the Rényi description. This implies that a novel correlation between the microstates of a self-gravitating system could be emerged via the nonextensive nature of long-range interaction systems. Finally, we also investigate the critical phenomena of the RN-AF in Rényi statistics compared to that of the van der Waals (vdW) fluid and find that the critical exponents of the relevant physical quantities of both systems are identical. This implies that both systems are in the same universality class of the phase transition.

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Ruppeiner geometry and thermodynamic phase transition of the black hole in massive gravity

Cited by 20 publications

References 100 publications

Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime

Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime

Three-dimensional AdS black holes in massive-power-Maxwell theory

Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics

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