Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS

Cardoso, Vítor; Dias, Óscar J. C.; Hartnett, Gavin S.; Lehner, Luis; Santos, Jorge E.

doi:10.1007/jhep04(2014)183

Cited by 150 publications

(266 citation statements)

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“…Since these BHs are time-periodic and single out a particular frequency, we call them black resonators. One limit of black resonators corresponds to the onset of the superradiant instability.Black resonators are thus the BHs predicted by [26] and alluded to in [20,24,27]. The opposite, zero-size limit of black resonators corresponds to the geons where this frequency is given by a nonlinear normal mode of AdS [24,25].…”

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confidence: 87%

Section: Jhep12(2015)171mentioning

confidence: 99%

“…In AdS, these waves return after scattering from the boundary and extract more energy. The process continues until the waves contain enough energy to backreact on the geometry, causing the so-called superradiant instability [18][19][20].The reflecting boundary also has implications for the stability of AdS itself. A nonlinear instability may occur if an excitation with arbitrarily small, but finite energy around AdS continues to reflect off the boundary and eventually forms a BH.…”

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confidence: 99%

“…Any gravitational radiation emitted by the geon is balanced by absorption of waves reflected from the AdS boundary. Since perturbation theory breaks down for twomode initial data, geons can be thought of as a basis for the nonlinear instability [24,25].We will construct a new family of BHs that joins the onset of the superradiant instability of 20] 1 to the geons. Since these BHs are time-periodic and single out a particular frequency, we call them black resonators.…”

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Black holes with a single Killing vector field: black resonators

Dias

Santos

Way

2015

J. High Energ. Phys.

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144

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Abstract:We numerically construct asymptotically anti-de Sitter (AdS) black holes in four dimensions that contain only a single Killing vector field. These solutions, which we coin black resonators, link the superradiant instability of Kerr-AdS to the nonlinear weakly turbulent instability of AdS by connecting the onset of the superradiance instability to smooth, horizonless geometries called geons. Furthermore, they demonstrate nonuniqueness of Kerr-AdS by sharing asymptotic charges. Where black resonators coexist with Kerr-AdS, we find that the black resonators have higher entropy. Nevertheless, we show that black resonators are unstable and comment on the implications for the endpoint of the superradiant instability.Keywords: Black Holes, AdS-CFT Correspondence, Classical Theories of Gravity JHEP12 (2015)171 Introduction. As the simplest of gravitating objects, black holes (BHs) play a fundamental role in our understanding of general relativity. Indeed, four-dimensional, asymptotically flat BHs are stable and uniquely specified by their asymptotic charges [1]. However, there are circumstances where stability and uniqueness can be violated, such as those in higher dimensions [2][3][4][5][6][7][8][9][10][11]. We will argue that this can also be accomplished in four dimensions with asymptotically anti-de Sitter (AdS) BHs. Unlike Minkowski or de Sitter space, AdS contains a timelike boundary at conformal infinity where reflecting (energy and angular momentum conserving) boundary conditions are typically imposed to render the initial value problem well posed [12]. The presence of this boundary has drastic consequences for the stability of solutions in AdS. For example, rotating BHs may contain an ergoregion from which energy can be extracted by the Penrose process [13]. For waves, this phenomenon is called superradiance [14][15][16] (see [17] for a review). In AdS, these waves return after scattering from the boundary and extract more energy. The process continues until the waves contain enough energy to backreact on the geometry, causing the so-called superradiant instability [18][19][20].The reflecting boundary also has implications for the stability of AdS itself. A nonlinear instability may occur if an excitation with arbitrarily small, but finite energy around AdS continues to reflect off the boundary and eventually forms a BH. There is numerical evidence in support of this instability with a spherically symmetric scalar field [21][22][23]. There is additionally a proposed perturbative explanation for this instability [21] which applies to pure gravity and beyond spherical symmetry [24]. At linear order in perturbation theory, AdS contains an infinite tower of evenly-spaced normal modes. At higher orders, resonances between modes cause higher modes to be excited that grow linearly in time. In the generic case, this leads to a breakdown of perturbation theory, and is interpreted as the beginnings of a nonlinear instability. This instability is called weakly turbulent due to this energy shift from longer to sho...

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confidence: 87%

Section: Jhep12(2015)171mentioning

confidence: 99%

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confidence: 99%

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confidence: 99%

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Black holes with a single Killing vector field: black resonators

Dias

Santos

Way

2015

J. High Energ. Phys.

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144

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“…This study was generalized to other geometries and perturbation sectors [56,57,58,59,60]. A full analysis of gravitational perturbations in four-dimensions is underway [61]. Large black holes in anti-de Sitter are not superradiantly unstable [62].…”

Section: Black Hole Bombs In Anti-de Sitter Spacementioning

confidence: 99%

Black hole bombs and explosions: from astrophysics to particle physics

Cardoso

2013

Gen Relativ Gravit

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Black holes are the elementary particles of gravity, the final state of sufficiently massive stars and of energetic collisions. With a forty-year long history, black hole physics is a fully-blossomed field which promises to embrace several branches of theoretical physics. Here I review the main developments in highly dynamical black holes with an emphasis on high energy black hole collisions and probes of particle physics via superradiance. This write-up, rather than being a collection of well known results, is intended to highlight open issues and the most intriguing results.Keywords Black holes · Superradiance · Cosmic Censorship · Transplanckian collisions IntroductionThe Kerr-Newman family of black holes in stationary four-dimensional, asymptotically flat spacetimes exhausts all possible electro-vacuum solutions in General Relativity. Theoretical aspects of black hole physics were fully developed decades ago, when the Kerr-Newman family was discovered and characterized. Most of the tools to understand black hole physics have been in place since that period and most processes involving black holes were controlled at the order-of-magnitude level for at least two decades. Perhaps due to these reasons, "black hole physics" conjures up images of horizons and time-warps and old-fashioned, frozen-in-time topics to lay audiences. However, in the last years the activity in the field is bubbling up Vitor Cardoso CENTRA, Departamento de Física, Instituto Superior Técnico, Universidade Técnica de Lisboa -UTL, Av. Rovisco Pais 1, 1049 Lisboa, Portugal E-mail: vitor.cardoso@ist.utl.pt Present address: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2J 2W9, Canada 2 Vitor Cardoso and the interest in these issues has widened, driven by several unrelated events at the observational/instrumental, technical and conceptual levels such as (i) our capacity to observationally scrutinize the region close to the horizon within a few Schwarzschild radii, with radio and deep infrared interferometry, of which we have seen but the first steps [1,2,3,4];(ii) the ability to measure black hole spins more accurately than ever before using X-ray spectroscopy [5,6] or "continuum-fitting" methods [7]. Measurement of black hole mass and spin is one necessary step in testing General Relativity [8]; (iii) huge technological progress in gravitational-wave observatories, some of which had been gathering data at design sensitivities for several years and are now being upgraded to sensitivities one order of magnitude higher (black hole binaries are thought to be among the first objects to ever be detected in the gravitational-wave spectrum);(iv) our ability to numerically evolve black hole binaries at the full nonlinear level [9,10,11] and its immediate importance for gravitational-wave searches and high-energy physics [12]; (v) improvement of perturbative schemes, either by an understanding of regularization schemes to handle the self-force [13,14], or by faster and more powerful methods to deal with the full ladder of pe...

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Superradiance

Brito¹,

Cardoso²,

Pani³

2020

Lecture Notes in Physics

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The series Lecture Notes in Physics (LNP), founded in 1969, reports new developments in physics research and teaching -quickly and informally, but with a high quality and the explicit aim to summarize and communicate current knowledge in an accessible way. Books published in this series are conceived as bridging material between advanced graduate textbooks and the forefront of research and to serve three purposes:• to be a compact and modern up-to-date source of reference on a well-defined topic. • to serve as an accessible introduction to the field to postgraduate students and nonspecialist researchers from related areas. • to be a source of advanced teaching material for specialized seminars, courses and schools.Both monographs and multi-author volumes will be considered for publication. Edited volumes should, however, consist of a very limited number of contributions only. Proceedings will not be considered for LNP.Volumes published in LNP are disseminated both in print and in electronic formats, the electronic archive being available at springerlink.com. The series content is indexed, abstracted and referenced by many abstracting and information services, bibliographic networks, subscription agencies, library networks, and consortia.

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Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS

Cited by 150 publications

References 138 publications

Black holes with a single Killing vector field: black resonators

Black holes with a single Killing vector field: black resonators

Black hole bombs and explosions: from astrophysics to particle physics

Superradiance

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