Kerr-AdS and its near-horizon geometry: perturbations and the Kerr/CFT correspondence

Dias, Óscar J. C.; Santos, Jorge E.; Stein, Maren

doi:10.1007/jhep10(2012)182

Cited by 28 publications

(32 citation statements)

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“…[176]. It turns out that the Teukolsky procedure can also be generalized to these spacetimes [192, 277, 276]. …”

Section: Approximation Schemesmentioning

confidence: 99%

“…The formalism to handle gravitational perturbations of four-dimensional, spherically symmetric asymptotically (A)dS BHs has been developed in Ref. [176], whereas perturbations of rotating AdS BHs were recently tackled [192, 277, 276]. Gravitational perturbations of higher-dimensional BHs can be handled through the elegant approach by Kodama and Ishibashi [479, 480], generalized in Ref.…”

Section: Approximation Schemesmentioning

confidence: 99%

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Exploring New Physics Frontiers Through Numerical Relativity

et al. 2015

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The demand to obtain answers to highly complex problems within strong-field gravity has been met with significant progress in the numerical solution of Einstein’s equations — along with some spectacular results — in various setups.We review techniques for solving Einstein’s equations in generic spacetimes, focusing on fully nonlinear evolutions but also on how to benchmark those results with perturbative approaches. The results address problems in high-energy physics, holography, mathematical physics, fundamental physics, astrophysics and cosmology.

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“…[176]. It turns out that the Teukolsky procedure can also be generalized to these spacetimes [192, 277, 276]. …”

Section: Approximation Schemesmentioning

confidence: 99%

Section: Approximation Schemesmentioning

confidence: 99%

Exploring New Physics Frontiers Through Numerical Relativity

et al. 2015

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“…Studies on linear perturbation of arbitrary spin massless fields on Kerr-dS BHs can be traced back to the early 1980s [38] (see also [39,40]); recently, the analogous equation was derived for a Kerr-AdS BH [41], using a different coordinate system and in a different context.…”

Section: B Teukolsky Equations Of the Maxwell Fieldmentioning

confidence: 99%

Maxwell perturbations on Kerr–anti–de Sitter black holes: Quasinormal modes, superradiant instabilities, and vector clouds

Wang

Herdeiro

2016

Phys. Rev. D

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Scalar and gravitational perturbations on Kerr-anti-de Sitter (Kerr-AdS) black holes have been addressed in the literature and have been shown to exhibit a rich phenomenology. In this paper, we complete the analysis of bosonic fields on this background by studying Maxwell perturbations, focusing on superradiant instabilities and vector clouds. For this purpose, we solve the Teukolsky equations numerically, imposing the boundary conditions we have proposed in [1] for the radial Teukolsky equation. As found therein, two Robin boundary conditions can be imposed for Maxwell fields on Kerr-AdS black holes, one of which produces a new set of quasinormal modes even for Schwarzschild-AdS black holes. Here, we show these different boundary conditions produce two different sets of superradiant modes. Interestingly, the "new modes" may be unstable in a larger parameter space. We then study stationary Maxwell clouds that exist at the threshold of the superradiant instability, with the two Robin boundary conditions. These clouds, obtained at the linear level, indicate the existence of a new family of black hole solutions at the nonlinear level, within the Einstein-Maxwell-AdS system, branching off from the KerrNewman-AdS family. As a comparison with the Maxwell clouds, scalar clouds on Kerr-AdS black holes are also studied, and it is shown there are Kerr-AdS black holes that are stable against scalar, but not vector, modes with the same "quantum numbers".

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“…Recently the analogous equation was derived for a Kerr-AdS BH [13]. In the following we outline the equations for the radial and angular parts of the master field describing a spin s perturbation, without a detailed derivation.…”

Section: Background Geometry and The Field Equationmentioning

confidence: 99%

“…Quite remarkably, it has been shown that the equations of motion for linear perturbations of massless spin fields on four dimensional Kerr BHs both separate and decouple, yielding the cellebrated Teukolsky equation [11]. Subsequently, this equation has been generalized to rotating BHs with a cosmological constant in different contexts [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Maxwell perturbations on asymptotically anti–de Sitter spacetimes: Generic boundary conditions and a new branch of quasinormal modes

2015

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Perturbations of asymptotically Anti-de-Sitter (AdS) spacetimes are often considered by imposing field vanishing boundary conditions (BCs) at the AdS boundary. Such BCs, of Dirichlet-type, imply a vanishing energy flux at the boundary, but the converse is, generically, not true. Regarding AdS as a gravitational box, we consider vanishing energy flux (VEF) BCs as a more fundamental physical requirement and we show that these BCs can lead to a new branch of modes. As a concrete example, we consider Maxwell perturbations on Kerr-AdS black holes in the Teukolsky formalism, but our formulation applies also for other spin fields. Imposing VEF BCs, we find a set of two Robin BCs, even for Schwarzschild-AdS black holes. The Robin BCs on the Teukolsky variables can be used to study quasinormal modes, superradiant instabilities and vector clouds. As a first application, we consider here the quasinormal modes of Schwarzschild-AdS black holes. We find that one of the Robin BCs yields the quasinormal spectrum reported in the literature, while the other one unveils a new branch for the quasinormal spectrum.

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Kerr-AdS and its near-horizon geometry: perturbations and the Kerr/CFT correspondence

Cited by 28 publications

References 50 publications

Exploring New Physics Frontiers Through Numerical Relativity

Exploring New Physics Frontiers Through Numerical Relativity

Maxwell perturbations on Kerr–anti–de Sitter black holes: Quasinormal modes, superradiant instabilities, and vector clouds

Maxwell perturbations on asymptotically anti–de Sitter spacetimes: Generic boundary conditions and a new branch of quasinormal modes

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