The phase transition and the quasi-normal modes of black holes

Shen, Jianyong; Wang, Bin; Su, Ru-Keng; Lin, Chi-Yong; Cai, R. A. and

doi:10.1088/1126-6708/2007/07/037

Cited by 48 publications

(45 citation statements)

References 42 publications

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“…In [26], it is suggested that in d = 4, the behaviour of the QNM frequencies slope near this temperature is related to the known phase transition between the topological (hyperbolic) black hole and the MTZ solution (a hyperbolic black hole with scalar hair -see [25], [27]). It is not clear, however, what is the interpretation of such a phase transition in the gauge theory side, and whether the argument extends to higher dimensions.…”

Section: Discussionmentioning

confidence: 99%

The sound of topology in the AdS/CFT correspondence

Arav

2012

J. High Energ. Phys.

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Using the gauge/gravity correspondence, we study the properties of 2-point correlation functions of finite-temperature strongly coupled gauge field theories, defined on a curved space of general spatial topology with a dual black hole description. We derive approximate asymptotic expressions for the correlation functions and their poles, supported by exact numerical calculations, and study their dependence on the dimension of spacetime and the spatial topology. The asymptotic structure of the correlation functions depends on the relation between the spatial curvature and the temperature, and is noticeable when they are of the same order. In the case of a hyperbolic topology, a specific temperature is identified for which exact analytical solutions exist for all types of perturbations. The asymptotic structure of the correlation functions poles is found to behave in a non-smooth manner when approaching this temperature.

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Section: Discussionmentioning

confidence: 99%

The sound of topology in the AdS/CFT correspondence

Arav

2012

J. High Energ. Phys.

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“…But the second moments will diverge when non-extremal black holes become extremal one. Moreover this kind of phase transition may be relevant to the quasinormal modes of black holes [31][32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Phase transition and entropy spectrum of the BTZ black hole with torsion

Zhao

2014

Phys. Rev. D

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In this paper, we study the phase transition and the entropy spectrum of BTZ black hole obtained in a model of three-dimensional gravity with torsion. By calculating the heat capacity we find that the BTZ black hole we considered will experience phase transition at some critical point. This indicates that the critical behaviors of black holes do not only depend on the spacetime metric, but have to do with the theory of gravity under consideration. In addition we derived the entropy spectrum of the BTZ black hole according to the quasinormal modes(QNMs) and the adiabatic invariance. It shows that the area or entropy spectrum will also rely on the concrete gravitational action.

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“…In this direction, the discontinuities observed in the heat capacity of charged Kaluza-Klein black holes with squashed horizons, were connected with the quasi-normal spectrum [22]. Further evidence of a non-trivial relation between the thermodynamical and dynamical properties of black holes was provided in [23].…”

Section: Introductionmentioning

confidence: 99%