Reentrant Phase Transitions and Triple Points of Topological AdS Black Holes in Born-Infeld-Massive Gravity

Zhang, Ming; Zou, De-Cheng; Yue, Rui-Hong

doi:10.1155/2017/3819246

Cited by 45 publications

(35 citation statements)

References 101 publications

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“…Moreover, the small-large black hole phase transition was identified with the liquid-gas phase transition of Van der Waals (VdW) fluid [6]. Besides it, more interesting phase transitions were found [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22]. In particular, near the critical point, black hole systems were also found to possess the same critical phenomena with the VdW fluid.…”

Section: Introductionmentioning

confidence: 91%

Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes

Wang

Liu

et al. 2019

Phys. Rev. D

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Comparing to the charged AdS black hole in GR, a new interesting phase transition, the reentrant phase transition, is observed in a charged Born-Infeld-AdS black hole system. It is worth to extend the study of the relationship between the photon sphere and the thermodynamic phase transition, especially the reentrant phase transition, to this black hole background. According to the number of the thermodynamic critical points, the black hole systems are divided into four cases with different values of Born-Infeld parameter b, where the black hole systems can have no phase transition, reentrant phase transition, or Van der Waals-like phase transition. For these different cases, we obtain the corresponding phase structures in pressure-temperature diagram and temperature-specific volume diagram. The tiny differences between these cases are clearly displayed. On the other hand, the radius rps and the minimal impact parameter ups of the photon sphere are calculated via the effective potential of the radial motion of photons. For different cases, rps and ups are found to have different behaviors. In particular, with the increase of rps or ups, the temperature possesses a decreaseincrease-decrease-increase behavior for fixed pressure if there exists the reentrant phase transition.While for fixed temperature, the pressure will show an increase-decrease-increase-decrease behavior instead. These behaviors are quite different from that of the Van der Waals-like phase transition.Near the critical point, the changes of rps and ups among the black hole phase transition confirm an universal critical exponent 1 2 . Finally, we also find that the temperature and pressure corresponding to the extremal points of rps and ups are highly consistent with the thermodynamic metastable curve for the black hole systems with different values of b. Therefore, all the results indicate that, for the charged Born-Infeld-AdS black holes, not only the Van der Waals-like phase transition, but also the reentrant phase transition can be reflected through the photon sphere.

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Section: Introductionmentioning

confidence: 91%

Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes

Wang

Liu

et al. 2019

Phys. Rev. D

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“…[9][10][11][12]. Shortly thereafter, the study was generalized to other black hole systems, and some abundant phase structures were discovered, such as the reentrant phase transition, triple point, isolated critical point, and superfluid black hole phase [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] (for a recent review see [28] and references therein).Probing the small-large black hole phase transition is an interesting subject. In Ref.[29], the authors found that there is a dramatic change in the slope of the quasinormal modes (QNMs) before and after the black hole's thermodynamic phase transition.…”

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confidence: 99%

Photon orbits and thermodynamic phase transition of d -dimensional charged AdS black holes

Wei

Liu

2018

Phys. Rev. D

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We study the relationship between the null geodesics and thermodynamic phase transition for the charged AdS black hole. In the reduced parameter space, we find that there exist non-monotonic behaviors of the photon sphere radius and the minimum impact parameter for the pressure below its critical value. The study also shows that the changes of the photon sphere radius and the minimum impact parameter can serve as order parameters for the small-large black hole phase transition. In particular, these changes have an universal exponent of 1 2 near the critical point for any dimension d of spacetime. These results imply that there may exist universal critical behavior of gravity near the thermodynamic critical point of the black hole system. PACS numbers: 04.70.Dy, 04.50.Gh, 04.25.-g I. INTRODUCTIONRecently, there is an extensive study on the black hole thermodynamics in the extended phase space with the cosmological constant being treated as pressure [1][2][3][4][5][6][7]. Interestingly, Kubiznak and Mann observed the thermodynamic stable small-large black hole phase transition for the four-dimensional charged AdS black holes [8], which mimics qualitatively the behavior of the Van der Waals (vdW) fluid. Such small-large black hole phase transition can be traced back to Refs. [9][10][11][12]. Shortly thereafter, the study was generalized to other black hole systems, and some abundant phase structures were discovered, such as the reentrant phase transition, triple point, isolated critical point, and superfluid black hole phase [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] (for a recent review see [28] and references therein).Probing the small-large black hole phase transition is an interesting subject. In Ref.[29], the authors found that there is a dramatic change in the slope of the quasinormal modes (QNMs) before and after the black hole's thermodynamic phase transition. This provides us a dynamic probe for the phase transition. The study was also extended to other AdS black holes [30][31][32][33][34]. These results imply that at low temperature or pressure, the phase transition can be effectively probed by measuring the change of the slope of the QNM frequencies. While at high temperature or pressure, extra measurement should be introduced, such as the non-monotonic behaviors of the imaginary part of the QNM frequencies [34].On the other hand, we would like to study whether there exist some relationships between the gravity and thermodynamics for the black hole system. In Refs. [35,36], the authors pointed out that the presence of photon orbits signals a possible York-Hawking-Page type phase transition. Using the stable photon orbit, the effect of a negative cosmological constant on the instabilities of black hole spacetimes was investigated in Ref. [37].From the side of gravity, the null geodesics plays a center and important role in the black hole physics. In particularly, the photon sphere has a close relation with the strong gravitational effects near the black hole, such as the lensing, shadow, ...

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“…In this context, a great deal of interest has recently been devoted to the modified theories of gravity, such massive gravity [2,[22][23][24][25][26][27][28][29][30]. The latter theories spectrum show up a massive spin-2 graviton, providing an explanation of the accelerated expansion of the universe without invoking dark energy.…”

Section: Introductionmentioning

confidence: 99%

Phase transition of AdS black hole in massive gravity revisited via new prescription

et al. 2020

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We apply the new thermodynamical method proposed initially by Hindi. et al [1] to revisit the phase structure of the AdS black hole in the massive gravity framework. In comparison to the standard thermodynamical method used in literature [2], we show that this new technical approach can easily reproduce the critical behavior inherent to this black hole configuration and addresses some of the shortcomings of the standard method. We also show the ability of this new perception to find all possible critical points and regions in which phase transitions occur, an impossible task in the standard method.

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Reentrant Phase Transitions and Triple Points of Topological AdS Black Holes in Born-Infeld-Massive Gravity

Cited by 45 publications

References 101 publications

Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes

Photon sphere and reentrant phase transition of charged Born-Infeld-AdS black holes

Photon orbits and thermodynamic phase transition of d -dimensional charged AdS black holes

Phase transition of AdS black hole in massive gravity revisited via new prescription

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