Superradiant Instability of D-Dimensional Reissner—Nordström Black Hole Mirror System*

Li, Ran; Kun, Zhaojun; Zhang, Yanming

doi:10.1088/0253-6102/63/5/569

Cited by 34 publications

(28 citation statements)

References 52 publications

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“…Therefore, the interior solution is Minkowski spacetime with a linear scalar field and the exterior solution is described by the Schwarzschild geometry with ADM mass proportional to η. 6 The hairy solitons are thus a 2-parameter family of solutions described by the expansion parameter ε and by the energy density of the cavity (that also fixes uniquely its pressure). Note that we are choosing the simplest physical box that can confine the scalar field: it has no surface electric charge density.…”

Section: Small Solitons (Boson Stars) Confined In a Boxmentioning

confidence: 99%

“…Scalar fields confined inside a box were already studied in the literature: 1) at the linear level [2][3][4][5][6][14][15][16][17][18][19], 2) as a nonlinear elliptic problem (although without having flat asymptotics [7,9,10] or without discussing the exterior solution [8]), and 3) as an initial-value problem [11][12][13]. However, to the best of our knowledge, the properties of the "internal structure" of the cavity or surface layer that is necessary to confine the scalar field were never analysed.…”

Section: A Israel Surface Stress Tensor and Energy Conditionsmentioning

confidence: 99%

“…If the system has electric charge, we can also have static black hole bomb systems [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. All we need is a complex scalar field with charge q scattering a Reissner-Nordström black hole with chemical potential µ that is placed inside a box that reflects the scalar waves.…”

mentioning

confidence: 99%

“…All we need is a complex scalar field with charge q scattering a Reissner-Nordström black hole with chemical potential µ that is placed inside a box that reflects the scalar waves. Such a system is unstable to superradiance [2][3][4][5][6]. In addition it is also unstable to the near-horizon scalar condensation instability [20].…”

mentioning

confidence: 99%

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Evading no-hair theorems: Hairy black holes in a Minkowski box

Dias

Masachs

2018

Phys. Rev. D

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We find hairy black holes of Einstein-Maxwell theory with a complex scalar field that is confined inside a box in a Minkowski background. These regular hairy black holes are asymptotically flat and thus the presence of the box or mirror allows to evade well-known no-hair theorems. We also find the Israel surface stress tensor that the confining box must have to obey the energy conditions. In the zero horizon radius limit, these hairy black holes reduce to a regular asymptotically flat hairy soliton. We find our solutions using perturbation theory. At leading order, a hairy black hole can be seen as a Reissner-Nordstrom black hole placed on top of a hairy soliton with the same chemical potential (so that the system is in thermodynamic equilibrium). The hairy black holes merge with the Reissner-Nordstrom black hole family at the onset of the superradiant instability. When they co-exist, for a given energy and electric charge, hairy black holes have higher entropy than caged Reissner-Nordstrom black holes. Therefore, our hairy black holes are the natural candidates for the endpoint of charged superradiance in the Reissner-Nordstrom black hole mirror system. * Electronic address: ojcd1r13@soton.ac.uk † Electronic address: rmg1e15@soton.ac.uk

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Section: Small Solitons (Boson Stars) Confined In a Boxmentioning

confidence: 99%

Section: A Israel Surface Stress Tensor and Energy Conditionsmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Evading no-hair theorems: Hairy black holes in a Minkowski box

Dias

Masachs

2018

Phys. Rev. D

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“…Previous literature already addressed several aspects of our linear mode stability problem (and even its nonlinear evolution) [23][24][25][26][27][28][29][30][31][32][33][34][35][36]. Our aim is to complement and complete these studies in three main directions.…”

Section: Introductionmentioning

confidence: 99%

Charged black hole bombs in a Minkowski cavity

Dias

Masachs

2018

Class. Quantum Grav.

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Press and Teukolsky famously introduced the concept of a black hole bomb system: a scalar field scattering a Kerr black hole confined inside a mirror undergoes superradiant amplification that keeps repeating due to the reflecting boundary conditions at the mirror. A similar charged black hole bomb system exists if we have a charged scalar field propagating in a Reissner-Nordström black hole confined inside a box. We point out that scalar fields propagating in such a background are unstable not only to superradiance but also to a mechanism known as the near-horizon scalar condensation instability. The two instabilities are typically entangled but we identify regimes in the phase space where one of them is suppressed but the other is present, and vice-versa (we do this explicitly for the charged but non-rotating black hole bomb). These 'corners' in the phase space, together with a numerical study of the instabilities allow us to identify accurately the onset of the instabilities. Our results should thus be useful to make educated choices of initial data for the Cauchy problem that follows the time evolution and endpoint of the instabilities. Finally, we use a simple thermodynamic model (that makes no use of the equations of motion) to find the leading order thermodynamic properties of hairy black holes and solitons that should exist as a consequence (and that should be the endpoint) of these instabilities. In a companion publication, we explicitly solve the Einstein-Maxwell-scalar equations of motion to find the properties of these hairy solutions at higher order in perturbation theory. * Electronic address: ojcd1r13@soton.ac.uk † Electronic address: rmg1e15@soton.ac.uk

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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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Superradiant Instability of D-Dimensional Reissner—Nordström Black Hole Mirror System*

Cited by 34 publications

References 52 publications

Evading no-hair theorems: Hairy black holes in a Minkowski box

Evading no-hair theorems: Hairy black holes in a Minkowski box

Charged black hole bombs in a Minkowski cavity

Superradiance

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