No superradiance for the scalar field in the BTZ black hole with reflexive boundary conditions

Ortíz, L.

doi:10.1103/physrevd.86.047703

Cited by 19 publications

(17 citation statements)

References 11 publications

(15 reference statements)

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“…This is in agreement with Ref. [28] which analyzed the Dirichlet case. Also note that for both boundary conditions the frequencies of the modes are such that Im[ω] < 0.…”

Section: B Computation Of the Energy Flux Across The Horizonsupporting

confidence: 93%

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Superradiance in the BTZ black hole with Robin boundary conditions

2018

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We show the existence of superradiant modes of massive scalar fields propagating in BTZ black holes when certain Robin boundary conditions, which never include the commonly considered Dirichlet boundary conditions, are imposed at spatial infinity. These superradiant modes are defined as those solutions whose energy flux across the horizon is towards the exterior region. Differently from rotating, asymptotically flat black holes, we obtain that not all modes which grow up exponentially in time are superradiant; for some of these, the growth is sourced by a bulk instability of AdS3, triggered by the scalar field with Robin boundary conditions, rather than by energy extraction from the BTZ black hole. Thus, this setup provides an example wherein Bosonic modes with low frequency are pumping energy into, rather than extracting energy from, a rotating black hole.1 See also [33] for a discussion of the quantum field theory of a massive scalar field in the BTZ BH with RBCs.

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“…This is in agreement with Ref. [28] which analyzed the Dirichlet case. Also note that for both boundary conditions the frequencies of the modes are such that Im[ω] < 0.…”

Section: B Computation Of the Energy Flux Across The Horizonsupporting

confidence: 93%

“…[21][22][23][24][25]). An intriguing exception to this rule is the geometrically elegant three-dimensional BTZ BH [26,27], which does not exhibit superradiance, for the simplest Bosonic field model and simplest (field vanishing, i.e., Dirichlet) boundary conditions of the Bosonic field at infinity [28].…”

Section: Introductionmentioning

confidence: 99%

Superradiance in the BTZ black hole with Robin boundary conditions

2018

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“…is such that ζ * ∈ ( π 2 , π). In other words, there are no cloud configurations for RBCs with ζ ∈ [0, ζ * ), which in particular includes pure DBCs and NBCs, in agreement with previous results [29].…”

Section: Stationary Cloudssupporting

confidence: 92%

“…Firstly, the results in this paper suggest detailed studies of superradiant instabilities of the BTZ BH, triggered by scalar fields with RBCs, could be quite interesting. We remark that superradiance was argued to occur in the BTZ background in [52], motivated by considerations of quantum field theory on this background; but as mentioned above, under DBCs superradiance does not occur [29]. The observation in [30] together with our work invite us to revisit this problem, considering the more general class of RBCs (see also [53] for related remarks on the relevance of boundary conditions for the occurrence (or not) of superradiance on four dimensional Kerr-AdS ).…”

Section: Discussionmentioning

confidence: 81%

“…In fact, the first example of a BH with synchronized (scalar) hair was found in a (five dimensional) asymptotically AdS spacetime [28]. Unlike its five dimensional counterpart, however, the geometry of the BTZ prevents the existence of superradiance for the simplest type of matter (a scalar field) and the simplest type of asymptotic boundary conditions [Dirichlet boundary conditions (DBCs)] [29], and the corresponding zero-mode is not present.…”

Section: Introductionmentioning

confidence: 99%

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Stationary scalar clouds around a BTZ black hole

Ferreira

Herdeiro

2017

Physics Letters B

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We establish the existence of stationary clouds of massive test scalar fields around BTZ black holes. These clouds are zero-modes of the superradiant instability and are possible when Robin boundary conditions (RBCs) are considered at the AdS boundary. These boundary conditions are the most general ones that ensure the AdS space is an isolated system, and include, as a particular case, the commonly considered Dirichlet or Neumann-type boundary conditions (DBCs or NBCs). We obtain an explicit, closed form, resonance condition, relating the RBCs that allow the existence of normalizable (and regular on and outside the horizon) clouds to the system's parameters. Such RBCs never include pure DBCs or NBCs. We illustrate the spatial distribution of these clouds, their energy and angular momentum density for some cases. Our results show that BTZ black holes with scalar hair can be constructed, as the non-linear realization of these clouds.Comment: 7 pages, 2 figure

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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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No superradiance for the scalar field in the BTZ black hole with reflexive boundary conditions

Abstract: We show that there is no superradiance in the rotating BTZ black hole for vanishing boundary conditions at infinity for the real scalar field. * leonardo.ortiz@uniofyorkspace.net

Cited by 19 publications

References 11 publications

Superradiance in the BTZ black hole with Robin boundary conditions

Superradiance in the BTZ black hole with Robin boundary conditions

Stationary scalar clouds around a BTZ black hole

Superradiance

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