scholarly journals Horizon symmetries and hairy black holes in AdS

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Laura Donnay ◽  
Gaston Giribet ◽  
Julio Oliva
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Conformal Symmetry ◽  
Virasoro Algebra ◽  
Black Hole Entropy ◽  
Infinite Dimensional ◽  
Higher Derivative ◽  
Ads Black Holes ◽  
Local Current ◽  
3D Gravity

Abstract We investigate whether supertranslation symmetry may appear in a scenario that involves black holes in AdS space. The framework we consider is massive 3D gravity, which admits a rich black hole phase space, including stationary AdS black holes with softly decaying hair. We consider a set of asymptotic conditions that permits such decaying near the boundary, and which, in addition to the local conformal symmetry, is preserved by an extra local current. The corresponding algebra of diffeomorphisms consists of two copies of Virasoro algebra in semi-direct sum with an infinite-dimensional Abelian ideal. We then reorient the analysis to the near horizon region, where infinite-dimensional symmetries also appear. The supertranslation symmetry at the horizon yields an infinite set of non-trivial charges, which we explicitly compute. The zero-mode of these charges correctly reproduces the black hole entropy. In contrast to Einstein gravity, in the higher-derivative theory subleading terms in the near horizon expansion contribute to the near horizon charges. Such terms happen to capture the higher-curvature corrections to the Bekenstein area law.

scholarly journals AdS black holes with higher derivative corrections in presence of string cloud

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Tanay K. Dey ◽  
Subir Mukhopadhyay
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Gauge Theory ◽  
Binding Energy ◽  
Parameter Space ◽  
Bonnet Gravity ◽  
Higher Derivative ◽  
Ads Black Holes ◽  
Black Hole Solutions

AbstractWe consider asymptotically AdS black hole solutions in Einstein Gauss Bonnet gravity in presence of string clouds. As in the case of black hole solutions in Gauss Bonnet gravity, it admits three black hole solutions in presence of string clouds as well within a region of the parameter space. Using holography, we have studied the quark–antiquark distance and binding energy in the dual gauge theory.

Entropy of near-extremal rotating charged black holes in four-dimensional supergravity from AdS2/CFT1 correspondence

2014 ◽  
Vol 29 (13) ◽  
pp. 1450079
Author(s):  
Jun-Jin Peng ◽  
Qing-Ping Hu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Central Charge ◽  
Conformal Symmetry ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Charged Black Holes ◽  
Rotating Black Holes ◽  
Cardy Formula ◽  
Asymptotic Symmetries

We study microscopic entropy of the near-extremal rotating black hole in four-dimensional (4D) 𝒩 = 2 supergravity with four charges set pairwise equal from AdS2/CFT1 correspondence. This correspondence is realized in terms of asymptotic symmetries of the AdS2 geometry and a two-dimensional near-horizon effective quantum theory of residual fields from a dimensional reduction proposed by Robinson and Wilczek. We compute the relevant central charge and derive the microscopic entropy of this near-extremal black hole by Cardy formula. Our results can be extended to more general near-extremal rotating black holes in 4D supergravity. They further support the notion that black hole entropy is generally controlled by near-horizon conformal symmetry.

ASPECTS OF NEAR-HORIZON CONFORMAL SYMMETRY

2005 ◽  
Vol 20 (11) ◽  
pp. 2485-2489 ◽  
Author(s):  
KUMAR S. GUPTA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Conformal Symmetry ◽  
Black Hole Entropy ◽  
Point Of View ◽  
Algebraic Point

We analyze the features of the near-horizon conformal symmetry of black holes from an algebraic point of view. The implications of such a symmetry for black hole entropy and decay are also discussed.

scholarly journals From microscopic black hole entropy toward Hawking radiationc

2020 ◽  
Vol 29 (14) ◽  
pp. 2043031
Author(s):  
Jun Nian ◽  
Leopoldo A. Pando Zayas
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Novel Approach ◽  
Ads Black Holes ◽  
Higher Dimensional ◽  
Dimensional Boundary ◽  
Horizon Limit ◽  
Extremal Black Holes

The AdS/CFT correspondence has recently provided a novel approach for counting the microstates of black holes impressively matching the macroscopic Bekenstein–Hawking entropy formula of rotating electrically charged asymptotically AdS black holes in four to seven dimensions. This approach is designed for supersymmetric extremal black holes, but can also be extended to nonsupersymmetric, near-extremal black holes. Besides the dual higher-dimensional boundary CFT, an effective 2D CFT emerges in a certain near-horizon limit accounting for both the extremal and the near-extremal black hole entropies. This effective 2D description is universal across dimensions and comes naturally equipped with an approach to quantitatively tackle aspects of Hawking radiation.

scholarly journals Universal entropy and hawking radiation of near-extremal AdS4 black holes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Marina David ◽  
Jun Nian
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Conformal Symmetry ◽  
Black Hole Entropy ◽  
Conformal Field ◽  
Ads Black Holes ◽  
Left And Right ◽  
Horizon Geometry ◽  
Electrically Charged ◽  
Universal Expression

Abstract We compute the Bekenstein-Hawking entropy of near-extremal asymptotically AdS4 electrically charged rotating black holes using three different methods: (i) from the gravity solution, (ii) from the near-horizon Kerr/CFT correspondence and (iii) from the boundary conformal field theory. The results from these three different approaches match exactly, giving us a unique and universal expression for the entropy and the microstate counting of near-extremal AdS black holes via the AdS/CFT correspondence. In the second method, we extend the Kerr/CFT correspondence to the near-extremal case to compute the left and right central charges. We also use hidden conformal symmetry of the near-horizon geometry to compute the Frolov-Thorne temperatures. From the results of the near-extremal AdS4 black hole entropy, we provide a microscopic foundation for Hawking radiation.

scholarly journals THERMODYNAMIC GEOMETRY AND CRITICAL BEHAVIOR OF BLACK HOLES

2007 ◽  
Vol 22 (01) ◽  
pp. 11-27 ◽  
Author(s):  
JIANYONG SHEN ◽  
RONG-GEN CAI ◽  
BIN WANG ◽  
RU-KENG SU
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Critical Behavior ◽  
Hessian Matrix ◽  
Black Hole Entropy ◽  
De Sitter ◽  
Ads Black Holes ◽  
Gas System ◽  
The One

Based on the observations that there exists an analogy between the Reissner–Nordström–Anti-de Sitter (RN–AdS) black holes and the van der Waals–Maxwell liquid-gas system, in which a correspondence of variables is (ϕ,q) ↔ (V,P), we study the Ruppeiner geometry, defined as Hessian matrix of black hole entropy with respect to the internal energy (not the mass) of black hole and electric potential (angular velocity), for the RN, Kerr and RN–AdS black holes. It is found that the geometry is curved and the scalar curvature goes to negative infinity at the Davies' phase transition point for the RN and Kerr black holes. Our result for the RN–AdS black holes is also in good agreement with the one about phase transition and its critical behavior in the literature.

scholarly journals Microscopic entropy of AdS3 black holes revisited

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Finn Larsen ◽  
Siyul Lee
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Canonical Partition Function ◽  
Microscopic Description ◽  
Grand Canonical Partition Function ◽  
Ads Black Holes ◽  
Higher Dimensional ◽  
A Charge ◽  
Grand Canonical

Abstract We revisit the microscopic description of AdS3 black holes in light of recent progress on their higher dimensional analogues. The grand canonical partition function that follows from the AdS3/CFT2 correspondence describes BPS and nearBPS black hole thermodynamics. We formulate an entropy extremization principle that accounts for both the black hole entropy and a constraint on its charges, in close analogy with asymptotically AdS black holes in higher dimensions. We are led to interpret supersymmetric black holes as ensembles of BPS microstates satisfying a charge constraint that is not respected by individual states. This interpretation provides a microscopic understanding of the hitherto mysterious charge constraints satisfied by all BPS black holes in AdS. We also develop thermodynamics and a nAttractor mechanism of AdS3 black holes in the nearBPS regime.

scholarly journals Gravitational Cardy limit and AdS black hole entropy

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Marina David ◽  
Jun Nian ◽  
Leopoldo A. Pando Zayas
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Low Energy ◽  
Angular Momenta ◽  
Ads Black Holes ◽  
Black Hole Solutions

Abstract We explore the gravitational implementation of the field theory Cardy-like limit recently used in the successful microstate countings of AdS black hole entropy in various dimensions. On the field theory side, the Cardy-like limit focuses on a particular scaling of conserved electric charges and angular momenta and we first translate this scaling to the gravitational side by a limiting procedure on the black hole parameters. We note that the scaling naturally accompanies a near-horizon region for which these black hole solutions are greatly simplified. Applying the Kerr/CFT correspondence to the near-horizon region, we precisely reproduce the Bekenstein-Hawking entropy of asymptotically AdS4,5,6,7 BPS black holes. Our results explicitly provide a microscopic and universal low energy description for AdS black holes across various dimensions.

scholarly journals SYMMETRIES, HORIZONS AND BLACK HOLE ENTROPY

2008 ◽  
Vol 17 (03n04) ◽  
pp. 659-664 ◽  
Author(s):  
S. CARLIP
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Degrees Of Freedom ◽  
Conformal Symmetry ◽  
Goldstone Boson ◽  
Thermal Characteristics ◽  
Black Hole Entropy ◽  
Conformal Anomaly ◽  
Two Dimensional ◽  
Statistical Mechanical

Black holes behave as thermodynamic systems, and a central task of any quantum theory of gravity is to explain these thermal properties. A statistical-mechanical description of black hole entropy once seemed remote, but today we suffer an embarrassment of riches: despite counting very different states, many inequivalent approaches to quantum gravity obtain identical results. Such "universality" may reflect an underlying two-dimensional conformal symmetry near the horizon, which can be powerful enough to control the thermal characteristics independent of other details of the theory. This picture suggests an elegant description of the relevant degrees of freedom as Goldstone-boson-like excitations arising from symmetry breaking by the conformal anomaly.

scholarly journals The mass of a Lifshitz black hole

2021 ◽  
Vol 81 (9) ◽  
Author(s):  
Gaston Giribet ◽  
Edmundo Lavia
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Strong Field ◽  
Massive Gravity ◽  
Robust Method ◽  
Higher Derivative ◽  
Lifshitz Black Holes ◽  
3D Gravity ◽  
Lifshitz Black Hole

AbstractIt is well known that massive 3D gravity admits solutions that describe Lifshitz black holes as those considered in non-relativistic holography. However, the determination of the mass of such black holes remained unclear as many different results were reported in the literature presenting discrepancies. Here, by using a robust method that permits to tackle the problem in the strong field regime, we determine the correct mass of the Lifshitz black hole of the higher-derivative massive gravity and compare it with other results obtained by different methods. Positivity of the mass spectrum demands an odd normalization of the gravity action. In spite of this fact, the result turns out to be consistent with computations inspired in holography.

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