Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes

Wei, Shao-Wen; Liu, Yu-Xiao; Wang, Yongqiang

doi:10.1103/physrevd.99.044013

Cited by 29 publications

(22 citation statements)

References 107 publications

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“…In particular, these changes have an universal exponent 1 2 near the critical point. Later, the study is extended to other black holes and gravity theories, for example rotating case [51], Gauss-Bonnet case [52], massive gravity case [53] and Born-Infeld case [54], which confirm the relations further. See also Ref.…”

Section: Introductionsupporting

confidence: 53%

“…Combing these results, we confirm the conclusion of Refs. [50,51] that there is a close relation between photon orbits and phase transitions, and the photon orbit radius and the minimum impact parameter can be used as order parameters to describe BH phase transitions. Nevertheless, we should point out zeroth-order and first-order phase transitions can not be distinguished with photon orbits alone.…”

Section: Discussionmentioning

confidence: 99%

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Photon orbits and phase transitions in Born-Infeld-dilaton black holes

Chen

Zhang

2020

Nuclear Physics B

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Relations between photon orbits and thermodynamical phase transitions are explored in Born-Infeld-dilaton-AdS black hole. The coupling between the electromagnetic field and the dialton field is chosen such that the full phase diagram contains zeroth-order and first-order phase transitions as well as RPT. We find that there exist non-monotonic beahviors of the photon orbit radius rps and the minimum impact parameter ups which signal the existence of the various phase transitions. In particular, the marginal value of pressure under which RPT occur can be read off from these behaviors. Along the co-existing lines, there are changes of both rps and ups, whose dependence on the transition temperature show characteristic behaviors signalling the existence of RPT. Moreover, the critical exponents of ∆rps and ∆ups are found to take a universal value 1 2 . These results imply that rps and ups can be used as order parameters to describe BH phase transitions.

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Section: Introductionsupporting

confidence: 53%

Section: Discussionmentioning

confidence: 99%

Photon orbits and phase transitions in Born-Infeld-dilaton black holes

Chen

Zhang

2020

Nuclear Physics B

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“…Further calculation also showed that these changes of the radius and the minimal impact parameter have a universal critical exponent 1 2 , which implies that these changes can serve as an order parameter to describe the small-large black hole phase transition. Subsequently, we extended our study to the rotating Kerr-AdS black holes [34]. Even when the black hole gets rotation, our result shows that the similar relationship between the photon ring and the phase transition also holds.…”

Section: Introductionmentioning

confidence: 61%

“…As shown in Refs. [33,34], such behavior of T reveals that no VdW-like phase transition exists. When b=0.4 and 0.45, the results are described in Figs.…”

Section: B Phase Transition and Photon Spherementioning

confidence: 93%

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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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Photon orbits and phase transition for non-linear charged anti-de Sitter black holes

Liu

et al. 2023

J. High Energ. Phys.

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In this work, we investigate the relation between the photon sphere radius and the first-order phase transition for the charged Einstein-power-Yang-Mills AdS black hole. Through the analysis, we find with a certain condition there exist the non-monotonic behaviors between the photon sphere radius, the impact parameter, the non-linear Yang-Mills charge parameter, temperature, and pressure. And both the changes of photon sphere radius and impact parameter before and after phase transition can be regarded as the order parameter, their critical exponents near the critical point are equal to the same value 1/2, just like the ordinary thermal systems. These indicate that there maybe exists a universal relation of gravity nearby the critical point for a black hole thermodynamical system. Furthermore, the effect of impact parameter on the deflect angle is also investigated.

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Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes

Cited by 29 publications

References 107 publications

Photon orbits and phase transitions in Born-Infeld-dilaton black holes

Photon orbits and phase transitions in Born-Infeld-dilaton black holes

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

Photon orbits and phase transition for non-linear charged anti-de Sitter black holes

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