Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole

Kumara, A. Naveena; Rizwan, C. L. Ahmed; Hegde, Kartheek; Ali, Md Sabir; M, Ajith K.

doi:10.48550/arxiv.2007.07861

Cited by 6 publications

(8 citation statements)

References 33 publications

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“…In this extended thermodynamic phase space, the charged small/large AdS black hole phase transition is similar to the gas-liquid phase transition of Van der Waals (VdW) fluid [15]. Subsequently, more interesting black hole phase transitions and phase structures, such as reentrant phase transition [16,17], isolated critical point [18], triple point [19][20][21], and superfluid black hole phase [22], have been uncovered.…”

Section: Introductionmentioning

confidence: 95%

QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes

Ye¹,

Chen²,

Li³

et al. 2022

Preprint

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Taking the quantum electrodynamics (QED) effect into account, we study the black hole phase transition and Ruppeiner geometry for the Euler-Heisenberg anti-de Sitter black hole in the extended phase space. For negative and small positive QED parameter, we observe a small/large black hole phase transition and reentrant phase transition, respectively. While a large positive value of the QED parameter ruins the phase transition. The phase diagrams for each case are explicitly exhibited.Then we construct the Ruppeiner geometry in the thermodynamic parameter space. Different features of the corresponding scalar curvature are shown for both the small/large black hole phase transition and reentrant phase transition cases. Of particular interest is that an additional region of positive scalar curvature indicating dominated repulsive interaction among black hole microstructure is present for the black hole with a small positive QED parameter. Furthermore, the universal critical phenomena are also observed for the scalar curvature of the Ruppeiner geometry. These results indicate that the QED parameter has a crucial influence on the black hole phase transition and microstructure.

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Section: Introductionmentioning

confidence: 95%

QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes

Ye¹,

Chen²,

Li³

et al. 2022

Preprint

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show abstract

“…So the charge is a key for the repulsive interaction. This conclusion not only holds in Einstein gravity, but also in modified gravities [38,39,41,47].…”

Section: Introductionmentioning

confidence: 75%

“…The approach has also been generalized to other black hole backgrounds [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48]. For the neutral AdS black hole, we constructed its Ruppeiner geometry, and found that there is only the attractive interaction for arbitrary spacetime dimension.…”

Section: Introductionmentioning

confidence: 99%

General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes

Wei,

Liu

2021

Preprint

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Combining with the small-large black hole phase transition, the thermodynamic geometry has been well applied to study the microstructure for the charged AdS black hole. In this paper, we extend the geometric approach to the rotating Kerr-AdS black hole and aim to develop a general approach for the Kerr-AdS black hole. Treating the entropy and pressure as the fluctuation coordinates, we construct the Ruppeiner geometry for the Kerr-AdS black hole by making the use of the Christodoulou-Ruffini-like squared-mass formula, which is quite different from the charged case.Employing the empirical observation of the corresponding scalar curvature, we find that, for the near-extremal Kerr-AdS black hole, the repulsive interaction dominates among its microstructure.While for far-from-extremal Kerr-AdS black hole, the attractive interaction dominates. The critical phenomenon is also observed for the scalar curvature. These results uncover the characteristic microstructure of the Kerr-AdS black hole. Such general thermodynamic geometry approach is worth generalizing to other rotating AdS black holes, and more interesting microstructure is expected to be discovered.

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“…In particular, the critical phenomena are observed for the normalized curvature scalar reflecting a universal property of the Ruppeiner geometry. Such study has also been extended to other black hole systems and much more interesting results were obtained [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45].…”

Section: Introductionmentioning

confidence: 91%

“…Now we turn to calculate the curvature scalar for the black hole system. By making use of the equation of state (21), we obtain the curvature scalar via (38), which can be expressed in terms of T and V as…”

Section: B Normalized Curvature Scalarmentioning

confidence: 99%

The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point

Wei¹,

Liu²

2021

Preprint

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Ruppeiner geometry has been successfully applied in the study of the black hole microstructure by combining with the small-large black hole phase transition. In this paper, we will extend the study to the triple point, where three black hole phases coexist. For the six-dimensional charged Gauss-Bonnet anti-de Sitter black hole, we thoroughly investigate the swallow tail behaviors of the Gibbs free energy and the equal area laws. After obtaining the black hole triple point, we exhibit its phase structures both in pressure-temperature and temperature-horizon radius diagrams. Quite different from the liquid-vapor phase transition, a double peak behavior is present in the temperature-horizon radius phase diagram. Then we construct the Ruppeiner geometry and calculate the corresponding normalized curvature scalar. Near the triple point, we observe multiple negatively divergent behaviors. Positive curvature scalar is observed for the small black hole with high temperature, which indicates that the repulsive interaction dominates among the microstructure. Furthermore, we consider the variation of the curvature scalar along the coexisting intermediate and large black hole curves. Combining with the observation for different fluids, the result suggests that this black hole system behaves more like the argon or methane. Our study provides a first and preliminary step towards understanding black hole microstructure near the triple point, as well as uncovering the particular properties of the Gauss-Bonnet gravity.

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Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole

Cited by 6 publications

References 33 publications

QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes

QED effects on phase transition and Ruppeiner geometry of Euler-Heisenberg-AdS black holes

General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes

The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point

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