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Superradiant instability of black resonators and geons

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  • Published: 28 July 2020
  • Volume 2020, article number 206, (2020)
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Superradiant instability of black resonators and geons
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  • Takaaki Ishii1,
  • Keiju Murata2,
  • Jorge E. Santos3,4 &
  • …
  • Benson Way5 

  • 369 Accesses

  • 11 Citations

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A preprint version of the article is available at arXiv.

Abstract

Black resonators and geons in global AdS are rapidly rotating, low-energy solutions with a helical Killing field. We study the linear mode stability of equal angular momenta, five-dimensional black resonators and geons under scalar, electromagnetic, and gravitational perturbations. We find that black resonators are unstable to the superradiant instability, in agreement with previously known results. Perhaps surprisingly, many geons appear linearly stable, despite having an ergoregion. This apparent stability implies that geons are important long-lived, low-energy states in the dual gauge theory. However, we do find that geons are unstable within a certain range of parameter space. We comment on the nature of this instability and to its possible endpoints. We also report on new non-spinning oscillating geons, which we construct within a cohomogeneity two ansatz. Given the existing arguments that suggest our linear stability results may be extended nonlinearly, our findings indicate that most geons are generic and long-lived solutions.

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Authors and Affiliations

  1. Department of Physics, Kyoto University, Kitashirakawa-Oiwakecho, Kyoto, 606-8502, Japan

    Takaaki Ishii

  2. Department of Physics, College of Humanities and Sciences, Nihon University, Sakurajosui, Tokyo, 156-8550, Japan

    Keiju Murata

  3. DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, U.K.

    Jorge E. Santos

  4. Institute for Advanced Study, 1 Einstein Drive, Princeton, NJ, 08540, U.S.A.

    Jorge E. Santos

  5. Departament de Física Quàntica i Astrofísica, Institut de Ciéncies del Cosmos, Universitat de Barcelona, Martí i Franquès, 1, E-08028, Barcelona, Spain

    Benson Way

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  1. Takaaki Ishii
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  2. Keiju Murata
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Correspondence to Keiju Murata.

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Ishii, T., Murata, K., Santos, J.E. et al. Superradiant instability of black resonators and geons. J. High Energ. Phys. 2020, 206 (2020). https://doi.org/10.1007/JHEP07(2020)206

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  • Received: 06 May 2020

  • Accepted: 08 June 2020

  • Published: 28 July 2020

  • DOI: https://doi.org/10.1007/JHEP07(2020)206

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Keywords

  • Black Holes
  • Classical Theories of Gravity
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