Warped AdS3 black holes in higher derivative gravity theories

Detournay, Stéphane; Douxchamps, Laure-Anne; Ng, Gim Seng; Zwikel, Céline

doi:10.1007/jhep06(2016)014

Cited by 14 publications

(22 citation statements)

References 97 publications

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“…For several instances of WAdS 3 one can establish that the asymptotic symmetries form a Virasoro-Kac-Moody algebra, which is an extension of their local SL(2, R) × U (1) Killing symmetries [32][33][34][35][36][37][38], thus precisely matching the defining symmetries of a WCFT. Remarkably, WCFTs exhibit modular properties that allow to derive a Cardy-type formula for the asymptotic degeneracy of states, which is found to match the entropy of the corresponding WAdS 3 black holes [15,[39][40][41][42][43][44][45], in the spirit of [4]. This is taken as an indication that WCFTs could be relevant to give a microstate description of certain classes of black holes in lower dimensions.…”

Section: Introductionmentioning

confidence: 77%

Warped symmetries of the Kerr black hole

Aggarwal

Castro

Detournay

2020

J. High Energ. Phys.

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We propose a set of diffeomorphism that act non-trivially near the horizon of the Kerr black hole.We follow the recent developments of Haco-Hawking-Perry-Strominger to quantify this phase space, with the most substantial difference being our choice of vectors fields. Our gravitational charges are organized into a Virasoro-Kac-Moody algebra with non-trivial central extensions. We interpret this algebra as arising from a warped conformal field theory. Using the data we can infer from this warped CFT description, we capture the thermodynamic properties of the Kerr black hole.

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Section: Introductionmentioning

confidence: 77%

Warped symmetries of the Kerr black hole

Aggarwal

Castro

Detournay

2020

J. High Energ. Phys.

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“…The isometry group of this metric is SL(2, R) × U (1). One can introduce a symmetric-two tensor T µν as [154] T…”

Section: Warped Black Holesmentioning

confidence: 99%

Conserved charges in extended theories of gravity

et al. 2019

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We give a detailed review of construction of conserved quantities in extended theories of gravity for asymptotically maximally symmetric spacetimes and carry out explicit computations for various solutions. Our construction is based on the Killing charge method, and a proper discussion of the conserved charges of extended gravity theories with this method requires studying the corresponding charges in Einstein's theory with or without a cosmological constant. Hence we study the ADM charges (in the asymptotically flat case but in generic viable coordinates), the AD charges (in generic Einstein spaces, including the anti-de Sitter spacetimes) and the ADT charges in anti-de Sitter spacetimes. We also discuss the conformal properties and the behavior of these charges under large gauge transformations as well as the linearization instability issue which explains the vanishing charge problem for some particular extended theories. We devote a long discussion to the quasi-local and offshell generalization of conserved charges in the 2+1 dimensional Chern-Simons like theories and suggest their possible relevance to the entropy of black holes.

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“…Our results would match exactly with the results reported in Refs. [64,65] if one replaces the parameter m → m − j l . The difference originates from considering the asymptotic angular velocity Ω ∞ in the definition of mass.…”

Section: Some Examplesmentioning

confidence: 99%

Revisiting conserved charges in higher curvature gravitational theories

2016

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Restricting the covariant gravitational phase spaces to the manifold of parametrized families of solutions, the mass, angular momenta, entropies, and electric charges can be calculated by a single and simple method. In this method, which has been called the "solution phase space method," conserved charges are unambiguous and regular. Moreover, assuming the generators of the charges to be exact symmetries, entropies and other conserved charges can be calculated on almost arbitrary surfaces, not necessarily horizons or asymptotics. Hence, the first law of thermodynamics would be a local identity relating the exact symmetries to which the mass, angular momentum, electric charge, and entropy are attributed. In this paper, we apply this powerful method to the f (R) gravitational theories accompanied by the terms quadratic in the Riemann and Ricci tensors. Furthermore, conserved charges and the first law of thermodynamics for some of their black hole solutions are exemplified. The examples include warped AdS 3 , charged static BTZ, and 3-dimensional z = 3 Lifshitz black holes.

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Warped AdS3 black holes in higher derivative gravity theories

Cited by 14 publications

References 97 publications

Warped symmetries of the Kerr black hole

Warped symmetries of the Kerr black hole

Conserved charges in extended theories of gravity

Revisiting conserved charges in higher curvature gravitational theories

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