Circular orbit of a test particle and phase transition of a black hole

Zhang, Ming; Han, Shan-Zhong; Jiang, Jie; Liu, Wenbiao

doi:10.1103/physrevd.99.065016

Cited by 26 publications

(13 citation statements)

References 63 publications

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“…Moreover, it was also found that the temperature and pressure corresponding to the extremal points of the radius and minimal impact parameter are highly consistent with the thermodynamic metastable curve for the Kerr-AdS black holes. This study was also generalized to other black hole backgrounds [36][37][38]. For example, in Ref.…”

Section: Introductionmentioning

confidence: 93%

“…[37] the authors studied the relation between the thermodynamic phase transition and the circular orbit for charged test particles. Photon orbits and thermodynamic phase transition were examined in Gauss-Bonnet AdS black holes [36], massive black holes [37], and even in a general spherically symmetric spacetime [38]. In addition, the presence of photon orbit also reveals a York-Hawking-Page type phase transition of spacetimes [39][40][41].…”

Section: Introductionmentioning

confidence: 99%

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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: 93%

Section: Introductionmentioning

confidence: 99%

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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“…Notwithstanding, some endeavours are trying to replace the role of event horizon with the photon orbit around the black hole. Based on the case studies in [38,39], it was found that the circular orbit radius of the photon can be a characteristic quantity to reflect the thermodynamic phase structure of a spherically symmetric black hole [40]. Related extensions can also be seen in [41,42].…”

Section: Introductionmentioning

confidence: 99%

Can shadows reflect phase structures of black holes?

Zhang

Guo

2020

Eur. Phys. J. C

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“…What's more, the observation of black hole opens a new window for its thermodynamic research. As a strong gravitational system, the trajectory of the photon moving around the black hole has been proved to be an effective tool to reflect its phase structure [45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism

Wang,

Wu,

et al. 2021

Preprint

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The connection between the shadow radius and the Ruppeiner geometry of a charged static spherically symmetric black hole is investigated. The normalized curvature scalar is adopted, and its close relation to the Van der Waals-like and Hawking-Page phase transition of Reissner-Nordström AdS black hole is studied. The results show that the shadow radius is a useful tool to reveal the correct information of the phase structure and the underlying microstructure of the black hole, which opens a new window to investigate the strong gravity system from the observational point of view.

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Circular orbit of a test particle and phase transition of a black hole

Cited by 26 publications

References 63 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

Can shadows reflect phase structures of black holes?

Ruppeiner Geometry of the RN-AdS Black Hole Using Shadow Formalism

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