Quasinormal modes of (anti-)de Sitter black holes in the 1/D expansion

Emparan, Roberto; Suzuki, Ryotaku; Tanabe, Kazuaki

doi:10.1007/jhep04(2015)085

Cited by 81 publications

(153 citation statements)

References 30 publications

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“…This is reflected in the fact that when a 0 = 1 andσ = 0, the direct calculation from the metric perturbation in [6,8] shows that no such counterpart exists. The remaining two solutions are physical and correspond to the quasinormal modes of the S-wave sector of the scalar-type gravitational perturbation of the charged boosted black string.…”

Section: Jhep04(2017)167mentioning

confidence: 99%

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Charged black rings at large D

Chen¹,

Li²,

Wang³

2017

J. High Energ. Phys.

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Abstract:We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions (D). By using the 1/D expansion in the near regions of the black holes we obtain the effective equations for the charged slowly rotating black holes. The effective equations capture the dynamics of various stationary solutions, including the charged black ring, the charged slowly rotating Myers-Perry black hole and the charged slowly boosted black string. Via different embeddings we construct these stationary solutions explicitly. For the charged black ring at large D, we find that the charge lowers the angular momentum due to the regularity condition on the solution. By performing the perturbation analysis of the effective equations, we obtain the quasinormal modes of the charge perturbation and the gravitational perturbation analytically. Like the neutral case the charged thin black ring suffers from the Gregory-Laflamme-like instability under the non-axisymmetric perturbations, but the charge weakens the instability. Besides, we find that the large D analysis always respects the cosmic censorship.

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Section: Jhep04(2017)167mentioning

confidence: 99%

“…This makes the perturbation problems such as the computation of the quasinormal modes (QNMs) [7][8][9][10] much simpler. Moreover…”

Section: Introductionmentioning

confidence: 99%

Charged black rings at large D

Chen¹,

Li²,

Wang³

2017

J. High Energ. Phys.

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“…The large D expansion was first proposed by R. Emparan, R. Suzuki and K. Tanabe (EST) in [1] and subsequently developed in a series of papers [2][3][4]. The essence in the large D expansion is that when the spacetime dimension is sufficiently large D → ∞, the gravitational field of a black hole is strongly localized near its horizon due to the dominant radial gradient of the gravitational potential.…”

Section: Introductionmentioning

confidence: 99%

Static Gauss-Bonnet black holes at large D

Chen¹,

Li²

2017

J. High Energ. Phys.

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We study the static black holes in the large D dimensions in the Gauss-Bonnet gravity with a cosmological constant, coupled to the Maxewell theory. After integrating the equation of motion with respect to the radial direction, we obtain the effective equations at large D to describe the nonlinear dynamical deformations of the black holes. From the perturbation analysis on the effective equations, we get the analytic expressions of the frequencies for the quasinormal modes of charge and scalar-type perturbations. We show that for a positive Gauss-Bonnet term, the black hole could become unstable only if the cosmological constant is positive, otherwise the black hole is always stable. However, for a negative Gauss-Bonnet term, we find that the black hole could always be unstable. The instability of the black hole depends not only on the cosmological constant and the charge, but also significantly on the Gauss-Bonnet term. Moreover, at the onset of instability there is a non-trivial static zero-mode perturbation, which suggests the existence of a new nonspherically symmetric solution branch. We construct the non-spherical symmetric static solutions of the large D effective equations explicitly.

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“…2 This map has been used in the past to obtain the transport coefficients up to second order in the derivative expansion for blackfolds [30] and for the fluid dual to Rindler spacetimes [31], by mapping the corresponding quantities of the conformal fluid dual to large AdS black holes. Similarly, in an 1/D expansion, the quasi-normal frequencies of AdS black branes were shown to match under the map the unstable frequencies of Ricci-flat black branes [38]. These examples show the validity and effectiveness of the correspondence.…”

Section: Introductionmentioning

confidence: 62%

“…wherê 38) for s = 1, 2. Then, (6.27) requires that the tensors h 1 μν and h 2 μν are transverse, 39) and one may finally check using (6.37), (6.38), (6.20), and (6.21) that…”

Section: Solving the Kaluza-klein Equationsmentioning

confidence: 99%

Kaluza–Klein reductions and AdS/Ricci-flat correspondence

Caldarelli

Skenderis

2018

Eur. Phys. J. C

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The AdS/Ricci-flat (AdS/RF) correspondence is a map between families of asymptotically locally AdS solutions on a torus and families of asymptotically flat spacetimes on a sphere. The aim of this work is to perturbatively extend this map to general AdS and asymptotically flat solutions. A prime application for such map would be the development of holography for Minkowski spacetime. In this paper we perform a Kaluza-Klein (KK) reduction of AdS on a torus and of Minkowski on a sphere, keeping all massive KK modes. Such computation is interesting on its own, as there are relatively few examples of such explicit KK reductions in the literature. We perform both KK reductions in parallel to illustrate their similarity. In particular, we show how to construct gauge invariant variables, find the field equations they satisfy, and construct a corresponding effective action. We further diagonalize all equations and find their general solution in closed form. Surprisingly, in the limit of large dimension of the compact manifolds (torus and sphere), the AdS/RF correspondence maps individual KK modes from one side to the other. In a sequel of this paper we will discuss how the AdS/RF maps acts on general linear perturbations.

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Quasinormal modes of (anti-)de Sitter black holes in the 1/D expansion

Cited by 81 publications

References 30 publications

Charged black rings at large D

Charged black rings at large D

Static Gauss-Bonnet black holes at large D

Kaluza–Klein reductions and AdS/Ricci-flat correspondence

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