Statistical entropy of BTZ black hole in higher curvature gravity

Saida, Hiromi; Soda, Jiro

doi:10.1016/s0370-2693(99)01405-7

Cited by 107 publications

(155 citation statements)

References 15 publications

Supporting

Mentioning

134

Contrasting

Order By: Relevance

“…We will indeed show that the black hole entropy is always reproduced by (1.4) or (1.5). The result is comparable in spirit to the analogous statement for BTZ black holes that their entropy is always reproduced by a Cardy formula [29,39], and similarly in Kerr/CFT where the original derivation of [74] could be extended to an arbitrary higher-curvature theory [75]. We will closely follow the philosophy of the latter work.…”

Section: Jhep06(2016)014supporting

confidence: 67%

“…In that case, the entropy-area law is no longer expected to hold, and is modified in order for the first law of black hole mechanics to hold [26][27][28]. Interestingly, the match between Cardy and black hole entropies still persists [9,[29][30][31][32][33][34][35][36][37][38][39][40]. The effect of higher-curvature corrections in AdS 3 gravity boils down to a global multiplicative renormalization of all the charges of the theory.…”

Section: Jhep06(2016)014mentioning

confidence: 99%

See 1 more Smart Citation

Warped AdS3 black holes in higher derivative gravity theories

Detournay¹,

Douxchamps²,

Ng³

et al. 2016

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider warped AdS 3 black holes in generic higher derivatives gravity theories in 2+1 dimensions. The asymptotic symmetry group of the phase space containing these black holes is the semi-direct product of a centrally extended Virasoro algebra and an affine u(1) Kac-Moody algebra. Previous works have shown that in some specific theories, the entropy of these black holes agrees with a Cardy-like entropy formula derived for warped conformal field theories. In this paper, we show that this entropy matching continues to hold for the most general higher derivative theories of gravity. We also discuss the existence of phase transitions.

show abstract

Section: Jhep06(2016)014supporting

confidence: 67%

Section: Jhep06(2016)014mentioning

confidence: 99%

Warped AdS3 black holes in higher derivative gravity theories

Detournay¹,

Douxchamps²,

Ng³

et al. 2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…One of the mysteries of TMG is why the rotating BTZ black hole entropy picks up a contribution proportional to the inner horizon area [70][71][72][73][74]. That this must be true follows from Cardy's formula, but we lack a geometric picture for this.…”

Section: Jhep05(2014)052mentioning

confidence: 97%

Comments on Rényi entropy in AdS3/CFT2

Perlmutter

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We extend and refine recent results on Rényi entropy in two-dimensional conformal field theories at large central charge. To do so, we examine the effects of higher spin symmetry and of allowing unequal left and right central charges, at leading and subleading order in large total central charge. The result is a straightforward generalization of previously derived formulae, supported by both gravity and CFT arguments. The preceding statements pertain to CFTs in the ground state, or on a circle at unequal left-and right-moving temperatures. For the case of two short intervals in a CFT ground state, we derive certain universal contributions to Rényi and entanglement entropy from Virasoro primaries of arbitrary scaling weights, to leading and next-to-leading order in the interval size; this result applies to any CFT. When these primaries are higher spin currents, such terms are placed in one-to-one correspondence with terms in the bulk 1-loop determinants for higher spin gauge fields propagating on handlebody geometries.

show abstract

“…Despite numerous attempts varying from strings [104,105,106,107] (for a review and list of refs. see [108]), three-dimensional gravity [109,110] including higher derivative terms [111], induced gravity [112], etc. the derivation of Bekenstein-Hawking entropy from statistical mechanics is not yet completely understood.…”

Section: Thermodynamics Of Schwarzschild-de Sitter Black Holesmentioning

confidence: 99%

QUANTUM DILATONIC GRAVITY IN d=2,4 AND 5 DIMENSIONS

Nojiri

Odintsov

2001

Int. J. Mod. Phys. A

130

102

View full text Add to dashboard Cite

We review (mainly) quantum effects in the theories where gravity sector is described by metric and dilaton. The one-loop effective action for dilatonic gravity in two and four dimensions is evaluated.Renormalization group equations are constructed. The conformal anomaly and induced effective action for 2d and 4d dilaton coupled theories are found. It is applied to study of quantum aspects of black hole thermodynamics, like calculation of Hawking radiation and quantum corrections to black hole parameters and investigation of quantum instability for such objects with multiple horizons. The use of above effective action in the construction of non-singular cosmological models in Einstein or Brans-Dicke (super)gravity and investigation of induced wormholes in supersymmetric Yang-Mills theory are given. 5d dilatonic gravity (bosonic sector of compactified IIB supergravity) is discussed in connection with bulk/boundary (or AdS/CFT) correspondence. Running gauge coupling and quark-antiquark potential for boundary gauge theory at zero or non-zero temperature are calculated from d = 5 dilatonic Anti-de Sitter-like background solution which represents Anti-de Sitter black hole for periodic time.

show abstract

Statistical entropy of BTZ black hole in higher curvature gravity

Cited by 107 publications

References 15 publications

Warped AdS3 black holes in higher derivative gravity theories

Warped AdS3 black holes in higher derivative gravity theories

Comments on Rényi entropy in AdS3/CFT2

QUANTUM DILATONIC GRAVITY IN d=2,4 AND 5 DIMENSIONS

Contact Info

Product

Resources

About