General framework to study the extremal phase transition of black holes

Bhattacharya, Krishnakanta; Dey, Sumit; Majhi, Bibhas Ranjan; Samanta, Saurav

doi:10.1103/physrevd.99.124047

Cited by 24 publications

(5 citation statements)

References 92 publications

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“…Similar critical behavior was also observed for the AdS black hole in massive gravity [9]. A more general treatment of phase transitions for extremal black holes was proposed in [10] without considering any specific black hole. Wei and Liu proposed an interesting connection between the impact parameter of the photon orbits and the thermodynamic phase transitions of charged AdS black holes [11].…”

Section: Introductionsupporting

confidence: 71%

Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter

et al. 2020

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In this paper, we study the thermodynamic features of a rotating black hole surrounded by perfect fluid dark matter. We analyze the critical behavior of the black hole by considering the known relationship between pressure and cosmological constant. We show that the black hole admits a first order phase transition and, both rotation and perfect fluid dark matter parameters have a significant impact on the critical quantities. We also introduce a new ad hoc pressure related to the perfect fluid dark matter and find a first order van der Waals like phase transition. In addition, using the sixth order WKB method, we investigate the massless scalar quasinormal modes (QNMs) for the static spherically symmetric black hole surrounded by dark matter. Using the finite difference scheme, the dynamical evolution of the QNMs is also discussed for different values of angular momentum and overtone parameters.

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Section: Introductionsupporting

confidence: 71%

Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter

et al. 2020

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“…In Refs. [52][53][54][55], the authors investigated the phase transition structure of black holes through the singularity of the spacetime scalar curvature. Thus, we can investigate the scalar curvature of the Einstein-Gauss-Bonnet AdS black hole to reveal the microstructure of the black hole molecules.…”

Section: Thermodynamic Geometry Of the Einstein-gauss-bonnet Ads Blacmentioning

confidence: 99%

Microstructure and Continuous Phase Transition of the Einstein-Gauss-Bonnet AdS Black Hole

Zhao

Zhang

2020

Advances in High Energy Physics

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The phase transition of the Einstein-Gauss-Bonnet AdS black hole has the similar property with the van der Waals thermodynamic system. However, it is determined by the Gauss-Bonnet coefficient α , not only the horizon radius. Furthermore, the phase transition is not the pure one between a big black hole and a small black hole. With this issue, we introduce a new order parameter to investigate the critical phenomenon and to give the microstructure explanation of the Einstein-Gauss-Bonnet AdS black hole phase transition. And the critical exponents are also obtained. At the critical point of the Einstein-Gauss-Bonnet AdS black hole, we reveal the microstructure of the black hole by investigating the thermodynamic geometry. These results perhaps provide some certain help to deeply explore the black hole microscopic structure and to build the quantum gravity.

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“…Both of these metrics does not imply a phase transition as predicted by Davies where the heat capacity diverges. Moreover, recently in a general formulation, we have shown that the Weinhold metric cannot predict the extremal phase transition of black holes, whereas the Ruppeiner metric successfully can predict that [53]. This discrepancy in this two formulation is believed to appear due to that fact that both the Weinhold and the Ruppeiner metrics are not formulated in a Legendre-invariant way [54][55][56][57][58][59][60].…”

Section: Introductionmentioning

confidence: 97%

Thermogeometric study of van der Waals like phase transition in black holes: An alternative approach

Bhattacharya

Majhi

2020

Physics Letters B

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It is well-known that the non-extremal anti-de-Sitter (AdS) black holes show various van der Waals type criticalities, such as the P − V , T − S, Y − X, Q 2 − Ψ etc. In these cases, the phase space diagram of the relevant quantities are similar in behaviour to the isotherms on P − V diagram for the usual van der Waals gas system. The existing thermogeometric descriptions of these criticalities for the black holes deal with the whole thermogeometric manifold and its curvature. However, while observing the criticality, one only notices the behaviour of the relevant phase space variables and keep all other thermodynamic quantities as fixed. Therefore it is quite natural to investigate the geometrical behaviour of the induced metric, defined by these constant macroscopic variables, corresponding to the whole manifold of the thermogeometry. Using geometrothermodynamics (GTD), we precisely address this issue. It is observed that the extrinsic curvature of this induced metric also diverges at the critical point. This provides an alternative but important aspect of the thermogeometric description of phase transition of black holes. The entire formalism in this paper is very general as it is valid for any arbitrary black hole which shows the van der Waals type phase transition.

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General framework to study the extremal phase transition of black holes

Cited by 24 publications

References 92 publications

Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter

Instability and phase transitions of a rotating black hole in the presence of perfect fluid dark matter

Microstructure and Continuous Phase Transition of the Einstein-Gauss-Bonnet AdS Black Hole

Thermogeometric study of van der Waals like phase transition in black holes: An alternative approach

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