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Charged black hole bombs in a Minkowski cavity

Charged black hole bombs in a Minkowski cavity
Charged black hole bombs in a Minkowski cavity
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-Nordstr ̈om 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.
0264-9381
184001
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Masachs, Ramon
bdf239d6-a0d9-4608-b035-3a1335b72956
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Masachs, Ramon
bdf239d6-a0d9-4608-b035-3a1335b72956

Dias, Oscar J.C. and Masachs, Ramon (2018) Charged black hole bombs in a Minkowski cavity. Classical and Quantum Gravity, 35 (18), 184001. (doi:10.1088/1361-6382/aad70b).

Record type: Article

Abstract

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-Nordstr ̈om 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.

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1803.06442 - Accepted Manuscript
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Accepted/In Press date: 31 July 2018
e-pub ahead of print date: 31 July 2018
Published date: 17 August 2018

Identifiers

Local EPrints ID: 424246
URI: http://eprints.soton.ac.uk/id/eprint/424246
ISSN: 0264-9381
PURE UUID: 204ca769-029a-4921-b1f4-a9431ce3cee9
ORCID for Oscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 05 Oct 2018 11:35
Last modified: 17 Dec 2019 05:13

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