Superradiance and the statistical-mechanical entropy of rotating BTZ black holes

Ho, Jeongwon; Kang, G.

doi:10.1016/s0370-2693(98)01451-8

Cited by 33 publications

(61 citation statements)

References 19 publications

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“…As we have pointed out repeatedly, the brick wall model has been a very popular approach that has been utilized to recover the Bekenstein-Hawking entropy S BH in a multitude of situations [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. In all these efforts, it is only the leading term in the WKB expansion (26) that has been taken into account in evaluating the density of states and the associated free energy and entropy of quantum fields around black holes.…”

Section: A Summarymentioning

confidence: 99%

Sub-leading contributions to the black hole entropy in the brick wall approach

Sarkar¹,

Shankaranarayanan²,

Sriramkumar³

2009

Proceedings of Black Holes in General Relativity and String Theory — PoS(BHs, GR and Strings)

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The brick wall model is a semiclassical approach to understand the microscopic origin of black hole entropy. In this approach, the black hole geometry is assumed to be a fixed classical background on which matter fields propagate, and the entropy of black holes supposedly arises due to the canonical entropy of matter fields outside the black hole event horizon, evaluated at the Hawking temperature. Apart from certain lower dimensional cases, the density of states of the matter fields around black holes cannot be evaluated exactly. As a result, often, in the brick wall model, the density of states and the resulting canonical entropy of the matter fields are evaluated at the leading order (in terms of @) in the WKB approximation. The success of the approach is reflected by the fact that the Bekenstein-Hawking area law-viz. that the entropy of black holes is equal to one-quarter the area of their event horizon, say, A Hhas been recovered using this model in a variety of black hole spacetimes. In this work, we compute the canonical entropy of a quantum scalar field around static and spherically symmetric black holes through the brick wall approach at the higher orders (in fact, up to the sixth order in @) in the WKB approximation. We explicitly show that the brick wall model generally predicts corrections to the Bekenstein-Hawking entropy in all spacetime dimensions. In four dimensions, we find that the corrections to the BekensteinHawking entropy are of the form ½A n H logA H , while, in six dimensions, the corrections behave as ½A m H þ A n H logA H , where ðm; nÞ < 1. We compare our results with the corrections to the BekensteinHawking entropy that have been obtained through the other approaches in the literature, and discuss the implications.

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Section: A Summarymentioning

confidence: 99%

Sub-leading contributions to the black hole entropy in the brick wall approach

Sarkar¹,

Shankaranarayanan²,

Sriramkumar³

2009

Proceedings of Black Holes in General Relativity and String Theory — PoS(BHs, GR and Strings)

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“…Later, J. G. Demers, R, Lafrance and R. C. Myers [28] pointed out that the Dirichlet condition can be removed if we use the Pauli-Villars regulated theory. The BWM has been successfully used in studies of the statistical-mechanical entropy for many black holes [4], [10]- [14], [17], [22].…”

Section: Introductionmentioning

confidence: 99%

Quantum entropy of a nonextreme stationary axisymmetric black hole due to a minimally coupled quantum scalar field

Jing

Yan

1999

Phys. Rev. D

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By using the 't Hooft ''brick wall'' model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from minimally coupled scalar fields which rotate with azimuthal angular velocity ⍀ 0 ϭ⍀ H (⍀ H is the angular velocity of the black hole horizon͒ in general four-dimensional nonextreme stationary axisymmetric black hole space-time. We also show, for the Kerr-Newman and the Einstein-Maxwell dilaton-axion black holes, that the statistical-mechanical entropy obtained from our derivation and the quantum thermodynamical entropy by the conical singularity method are equivalent. ͓S0556-2821͑99͒02918-5͔

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“…As we know that BWM is a effective route to calculate the black hole entropy in variety systems such as the low or higher dimensional spaces, the de Sitter or anti-de Sitter spaces and the others spaces [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]. Unlike the former GUP model, the modes of the scalar field in BWM model is decomposed as a separable form = e −iEt R ω (r)Y lm (θ, φ) where E is the particle energy and Y lm (θ, φ) is the usual spherical harmonic function.…”

Section: Quantum Statistical Entropy Via Brick Wall Methods In Standarmentioning

confidence: 99%

Black Hole Entropy of IR Modified Hořava-Lifshitz Gravity in Quantum Statistics Perspective

Liu

Jia

et al. 2011

Int J Theor Phys

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In this paper we investigate quantum statistical entropy for the Kehagias-Sfetsos black hole in IR modified Hořava-Lifshitz gravity by using t' Hooft's brick-wall method and generalized uncertainty principle method. By carefully calculating, we obtain the brick-wall entropy S BW M = A/4 and the generalized uncertainty principle entropy S GU P = A/96πγ . It is found if we view from quantum statistics, the brick-wall entropy and generalized uncertainty principle entropy may possibly is proportional to the event horizon area. This type area entropy is also justified by Wang et al. (Phys. Rev. D 81:083006, 2010). The study of the quantum statistical entropy may shed light on the understand of Hořava-Lifshitz gravity.

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Superradiance and the statistical-mechanical entropy of rotating BTZ black holes

Cited by 33 publications

References 19 publications

Sub-leading contributions to the black hole entropy in the brick wall approach

Sub-leading contributions to the black hole entropy in the brick wall approach

Quantum entropy of a nonextreme stationary axisymmetric black hole due to a minimally coupled quantum scalar field

Black Hole Entropy of IR Modified Hořava-Lifshitz Gravity in Quantum Statistics Perspective

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