Phase structure and quasinormal modes of a charged AdS dilaton black hole

Li, Ai-chen; Shi, Han-qing; Zeng, Ding-fang

doi:10.1103/physrevd.97.026014

Cited by 20 publications

(21 citation statements)

References 72 publications

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“…While when the black hole system approaches to its critical case, the QNMs become more complicated, and thus one must be very careful with these cases. This method was also extended to other AdS black hole systems [27][28][29][30][31][32]. All these results imply that the VdW-like phase transition can be reflected by the slope of the QNMs.…”

Section: Introductionmentioning

confidence: 80%

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: 80%

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]. This new test was extended to other AdS black hole backgrounds [41][42][43][44][45][46]. These results imply that the phase transition information can be reflected by the QNMs of the dynamical perturbations.…”

mentioning

confidence: 75%

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

2019

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In this paper, we aim to examine the relationship between the unstable circular photon orbit and the thermodynamic phase transition for a rotating Kerr-AdS black hole. On one side, we give a brief review of the phase transition for the Kerr-AdS black hole. The coexistence curve and the metastable curve corresponding to the phase transition are clearly shown. On the other side, we calculate the radius and the angular momentum of the unstable circular orbits for a photon by analyzing the effective potential. Then combining these two sides, we find the following results. i)The radius and the angular momentum of the unstable circular photon orbits demonstrate the nonmonotonic behaviors when the thermodynamic phase transition takes place. So from the behavior of the circular orbit, one can determine whether there exists a thermodynamic phase transition. ii)The difference of the radius or the angular momentum for the coexistence small and large black holes can be treated as an order parameter to describe the phase transition. And near the critical point, it has a critical exponent of 1 2 . iii) The temperature and pressure corresponding to the extremal points of the radius or the angular momentum of the unstable circular photon orbit completely agree with that of the metastable curves from the thermodynamic side. Thus, these results confirm the relationship between the geodesics and thermodynamic phase transition for the Kerr-AdS black hole. Therefore, on one hand, we are allowed to probe the thermodynamic phase transition from the gravity side. On the other hand, the signature of the strong gravitational effect can also be revealed from the black hole thermodynamics.

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“…Because of the speciality and important of AdS space [32], in which many physics have been discussed [33], it is necessary to study the motion of domain wall in the charged AdS dilaton black hole bulk now [34], [35]. Indeed, we find that its motion is single and it exists an anomaly that is not explained by our classical theory.…”

Section: Introductionmentioning

confidence: 82%

Dynamics of domain wall in charged AdS dilaton black hole space–time

Huang

2019

Int. J. Mod. Phys. A

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For the n − 1 dimensional FRW domain wall universe induced by n dimensional charged dilaton black hole, its movement formula in the bulk can be rewrite as the expansion or collapsing of domain wall. By analysing, we found that in this static AdS space, the cosmologic behaviour of domain wall is particularly single. Even more surprising, it exists an anomaly that the domain wall has a motion area outside of horizon, in which it cannot be explained by our classical theory.

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Phase structure and quasinormal modes of a charged AdS dilaton black hole

Cited by 20 publications

References 72 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

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

Dynamics of domain wall in charged AdS dilaton black hole space–time

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