Gravitational perturbations from NHEK to Kerr

Castro, Alejandra; Godet, Victor; Simón, Joan; Song, Wei; Yu, Boyang

doi:10.1007/jhep07(2021)218

Cited by 20 publications

(28 citation statements)

References 83 publications

(180 reference statements)

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“…For this reason, it is expected that outside the near-horizon region the JT field should be identified with a perturbation that changes the conserved quantities of the black hole plus a diffeomorphism (to preserve a choice of gauge). This has been illustrated for four-dimensional black holes in [23,37] and here we will carry out a similar analysis for the five-dimensional solution.…”

Section: Recovering the Jt Sectormentioning

confidence: 82%

“…For example, considering charged black holes such as those in [38] should be feasible, and an interesting case to study the interplay of charge and rotation. Another direction is to study rotating four-dimensional black holes, including Kerr-Newman and Kaluza-Klein black holes [39], although the near-horizon perturbations in that case assume a much more complicated form [23,40]. 10 Moreover, the methods in this paper may possibly be used in the context of dS 2 JT gravity, to understand parts of the space of near-dS 2 deformations (perhaps carefully considering appropriate analytic continuations).…”

Section: Discussionmentioning

confidence: 99%

“…There are also couplings to the metric perturbations via (23). To solve this equation, it is convenient to pick coordinates for the background metric and fix a gauge for h ab .…”

Section: Linearized Equations Of Motion and The Jt Sectormentioning

confidence: 99%

“…Although all extremal and nearextremal black holes share an AdS 2 factor in their near-horizon geometry, their backreaction could have additional features that need to be added to the simplest JT model (such as more degrees of freedom, interactions, and possibly a modification of boundary conditions). This has been most manifest in the context of rotating black holes in four and higher dimensions, and prior work that incorporates rotation in the holographic interpretation of nearly-AdS 2 includes [17][18][19][20][21][22][23]. 1 In this work, our aim is to quantify how these additional features could affect the holographic dual of the nearly-AdS 2 region.…”

Section: Introductionmentioning

confidence: 99%

“…We also study how the JT sector behaves in the far region, and highlight the sharp differences in the gluing procedure depending on the presence or absence of a negative cosmological constant. The way we set up the analysis of the decoupling limit is along the lines of [23] for the four-dimensional extreme Kerr solution. With regard to the AdS 5 aspects of our computations, a useful comparison is [30], where boundary gravitons of AdS 3 are interpolated to AdS 5 .…”

Section: Introductionmentioning

confidence: 99%

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Rotating 5D black holes: Interactions and deformations near extremality

et al. 2021

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We study a two-dimensional theory of gravity coupled to matter that is relevant to describe holographic properties of black holes with two equal angular momenta in five dimensions (with or without cosmological constant). We focus on the near-horizon geometry of the near-extremal black hole, where the effective theory reduces to Jackiw-Teitelboim (JT) gravity coupled to a massive scalar field. We compute the corrections to correlation functions due to cubic interactions present in this theory. A novel feature is that these corrections do not have a definite sign: for AdS_55 black holes the sign depends on the mass of the extremal solution. We discuss possible interpretations of these corrections from a gravitational and holographic perspective. We also quantify the imprint of the JT sector on the UV region, i.e. how these degrees of freedom, characteristic for the near-horizon region, influence the asymptotically far region of the black hole. This gives an interesting insight on how to interpret the IR modes in the context of their UV completion, which depends on the environment that contains the black hole.

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Section: Recovering the Jt Sectormentioning

confidence: 82%

Section: Discussionmentioning

confidence: 99%

“…There are also couplings to the metric perturbations via (23). To solve this equation, it is convenient to pick coordinates for the background metric and fix a gauge for h ab .…”

Section: Linearized Equations Of Motion and The Jt Sectormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Rotating 5D black holes: Interactions and deformations near extremality

et al. 2021

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JT gravity and near-extremal thermodynamics for Kerr black holes in AdS4,5 for rotating perturbations

Poojary

2023

J. High Energ. Phys.

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We study the near horizon 2d gravity theory which captures the near extremal thermodynamics of Kerr black holes where a linear combination of excess angular momentum δJ and excess mass δM is held fixed. These correspond to processes where both the mass and the angular momenta of extremal Kerr black holes are perturbed leaving them near extremal. For the Kerr AdS4 we hold $$ \delta J-\mathcal{L}\delta M=0 $$ δJ − L δM = 0 while for Myers-Perry(MP) type Kerr black hole in AdS5 we hold $$ \delta {J}_{\varphi 1,2}-{\mathcal{L}}_{\varphi 1,2}\delta M=0 $$ δ J φ 1 , 2 − L φ 1 , 2 δM = 0 . We show that in near horizon, the 2d Jackiw-Teitelboim theory is able to capture the thermodynamics of the higher dimensional black holes at small near extremal temperatures TH. We show this by generalizing the near horizon limits found in literature by parameters $$ \mathcal{L} $$ L and $$ {\mathcal{L}}_{\varphi 1,2} $$ L φ 1 , 2 for the two geometries. The resulting JT theory captures the near extremal thermodynamics of such geometries provided we identify the temperature $$ {T}_H^{(2)} $$ T H 2 of the near horizon AdS2 geometry to be $$ {T}_H^{(2)}={T}_H/\left(1-\mu \mathcal{L}\right) $$ T H 2 = T H / 1 − μ L for 4d Kerr and $$ {T}_h^2={T}_H/\left(-\mu \left({\mathcal{L}}_{\varphi 1}+{\mathcal{L}}_{\varphi 2}\right)\right) $$ T h 2 = T H / − μ L φ 1 + L φ 2 for 5d Kerr μ is their chemical potential, with $$ \mu \mathcal{L}<1 $$ μ L < 1 and $$ \mu \left({\mathcal{L}}_{\varphi 1}+{\mathcal{L}}_{\varphi 2}\right)<1 $$ μ L φ 1 + L φ 2 < 1 respectively. We also argue that such a theory embeds itself non-trivially in the higher dimensional theorydual to the Kerr geometries.

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Branes in JT (super)gravity from group theory

Belaey,

Mariani,

Mertens

2024

J. High Energ. Phys.

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In this work, we revisit the end-of-the-world (EOW) brane amplitudes in JT gravity from a BF gauge theoretic perspective. Observing and identifying the correct group theoretic ingredient for a closed EOW brane as a discrete series character, we use the group theory framework as a guide towards formulating the analogous supersymmetric problem. We compute these amplitudes explicitly in the supersymmetric generalizations of JT gravity ($$ \mathcal{N} $$ N = 1, 2, 4), motivated by the prospective of possibly finite amplitudes. In the process, we develop some of the representation theory of OSp(2|2, ℝ) and PSU(1, 1|2), relevant for the $$ \mathcal{N} $$ N = 2 and $$ \mathcal{N} $$ N = 4 cases.

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Gravitational perturbations from NHEK to Kerr

Cited by 20 publications

References 83 publications

Rotating 5D black holes: Interactions and deformations near extremality

Rotating 5D black holes: Interactions and deformations near extremality

JT gravity and near-extremal thermodynamics for Kerr black holes in AdS4,5 for rotating perturbations

Branes in JT (super)gravity from group theory

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