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High Energy Physics - Theory

arXiv:hep-th/0404096 (hep-th)
[Submitted on 14 Apr 2004 (v1), last revised 30 Aug 2004 (this version, v3)]

Title:The black hole bomb and superradiant instabilities

Authors:Vitor Cardoso, Oscar J. C. Dias, Jose' P. S. Lemos, Shijun Yoshida
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Abstract: A wave impinging on a Kerr black hole can be amplified as it scatters off the hole if certain conditions are satisfied giving rise to superradiant scattering. By placing a mirror around the black hole one can make the system unstable. This is the black hole bomb of Press and Teukolsky. We investigate in detail this process and compute the growing timescales and oscillation frequencies as a function of the mirror's location. It is found that in order for the system black hole plus mirror to become unstable there is a minimum distance at which the mirror must be located. We also give an explicit example showing that such a bomb can be built. In addition, our arguments enable us to justify why large Kerr-AdS black holes are stable and small Kerr-AdS black holes should be unstable.
Comments: 10 pages, 7 figures, RevTeX4. Added a discussion on possible astrophysical applications of this process
Subjects: High Energy Physics - Theory (hep-th); Astrophysics (astro-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:hep-th/0404096
  (or arXiv:hep-th/0404096v3 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0404096
Journal reference: Phys.Rev.D70:044039,2004; Erratum-ibid.D70:049903,2004
Related DOI: https://doi.org/10.1103/PhysRevD.70.044039 https://doi.org/10.1103/PhysRevD.70.049903

Submission history

From: Vitor Cardoso [view email]
[v1] Wed, 14 Apr 2004 20:02:04 UTC (41 KB)
[v2] Wed, 26 May 2004 07:48:10 UTC (42 KB)
[v3] Mon, 30 Aug 2004 12:09:43 UTC (42 KB)
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