Critical behavior in (2+1)-dimensional black holes

Cai, Rong-Gen; Lu, Zhen; Zhang, Yuan‐Zhong

doi:10.1103/physrevd.55.853

Cited by 62 publications

(77 citation statements)

References 53 publications

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“…We note that these exponents are different from those of Kerr-Newman black holes and BTZ black holes [19]. But they still satisfy the scaling laws of the "first kind" as α + 2β + γ = 2,…”

Section: Scaling Laws and Critical Exponentsmentioning

confidence: 97%

“…In the previous work [19], by investigating the critical behavior and phase transition in the 2+1 dimensional black holes recently found by Bañados, Teitelboim, and Zanelli (BTZ) [20], we obtained some interesting results: (1) The extremal spinning BTZ black hole has a critical point and a second-order phrase transition takes place from extremal to nonextremal one. (2) The massless BTZ black hole has also a critical point and a secondorder phase transition occurs from a massless to massive one.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand the divergence of some second moments at the extremal point is related to the second-order phase transition. This means that the extremal point is different from the turning point [17,19]. Therefore in the rest of paper we will explore the behavior of black configurations near the extremal limit.…”

Section: Equilibrium Thermodynamic Fluctuations and Critical Behmentioning

confidence: 99%

“…Instead, we use the correlation function of scalar fields to get the quantum aspects of black p-branes [19]. Traschen [40] has recently studied the behavior of a massive charged scalar field on the background of Reissner-Nordström black holes.…”

Section: Scaling Laws and Critical Exponentsmentioning

confidence: 99%

“…In order to discuss the critical behavior of the isolated black p-branes as in [18,19], it is appropriate to choose the microcanonical ensemble. Here the proper Massieu function is given by the entropy of black p-branes.…”

Section: Scaling Laws and Critical Exponentsmentioning

confidence: 99%

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Critical behavior for the dilaton black holes

Cai

Myung

1997

Nuclear Physics B

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We study the critical behavior in the black p-branes and four dimensional charged dilaton black holes. We calculate the thermodynamic fluctuations in the various (microcanonical, canonical, and grandcanonical) ensembles. It is found that the extremal limit of some black configurations has a critical point and a phase transition takes place from the extremal to nonextremal black configurations. Some critical exponents are obtained, which satisfy the scaling laws. This is related to the fact that the entropy of these black configurations is a homogeneous function.

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Section: Scaling Laws and Critical Exponentsmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Section: Equilibrium Thermodynamic Fluctuations and Critical Behmentioning

confidence: 99%

Section: Scaling Laws and Critical Exponentsmentioning

confidence: 99%

Section: Scaling Laws and Critical Exponentsmentioning

confidence: 99%

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Critical behavior for the dilaton black holes

Cai

Myung

1997

Nuclear Physics B

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Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes

Sahay

Sarkar

Sengupta

2010

J. High Energ. Phys.

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We investigate phase transitions and critical phenomena in Kerr-Newman-Anti de Sitter black holes in the framework of the geometry of their equilibrium thermodynamic state space. The scalar curvature of these state space Riemannian geometries is computed in various ensembles. The scalar curvature diverges at the critical point of second order phase transitions for these systems. Remarkably, however, we show that the state space scalar curvature also carries information about the liquid-gas like first order phase transitions and the consequent instabilities and phase coexistence for these black holes. This is encoded in the turning point behavior and the multivalued branched structure of the scalar curvature in the neighborhood of these first order phase transitions. We re-examine this first for the conventional Van der Waals system, as a preliminary exercise. Subsequently, we study the Kerr-Newman-AdS black holes for a grand canonical and two "mixed" ensembles and establish novel phase structures. The state space scalar curvature bears out our assertion for the first order phase transitions for both the known and the new phase structures, and closely resembles the Van der Waals system. *

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Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity

Pérez

Tempo

Troncoso

2011

J. High Energ. Phys.

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Hairy black holes and gravitational solitons in three dimensions for the new massive gravity theory proposed by Bergshoeff, Hohm and Townsend (BHT) are considered at the special case when there is a unique maximally symmetric solution. Following the Brown-York approach with suitable counterterms, it is shown that the soliton possesses a fixed negative mass which coincides with the one of AdS spacetime regardless the value of the integration constant that describes it.Hence, the soliton can be naturally regarded as a degenerate ground state labeled by a single modulus parameter. The Euclidean action, endowed with suitable counterterms, is shown to be finite and independent of modulus and hair parameters for both classes of solutions, and in the case of hairy black holes the free energy in the semiclassical approximation is reproduced. Modular invariance allows to show that the gravitational hair turns out to be determined by the modulus parameter. According to Cardy's formula, it is shown that the semiclassical entropy agrees with the microscopic counting of states provided the modulus parameter of the ground state is spontaneously fixed, which suggests that the hairy black hole is in a broken phase of the theory. Indeed, it is found that there is a critical temperature T c = (2πl) −1 characterizing a first order phase transition between the static hairy black hole and the soliton which, due to the existence of gravitational hair, can take place in the semiclassical regime.

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Critical behavior in (2+1)-dimensional black holes

Cited by 62 publications

References 53 publications

Critical behavior for the dilaton black holes

Critical behavior for the dilaton black holes

Thermodynamic geometry and phase transitions in Kerr-Newman-AdS black holes

Gravitational solitons, hairy black holes and phase transitions in BHT massive gravity

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