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Phys. Rev. D 70, 084011 (2004) [7 pages]

Small Kerr–anti-de Sitter black holes are unstable

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Vitor Cardoso*
Centro de Física Computacional, Universidade de Coimbra, P-3004-516 Coimbra, Portugal and Centro Multidisciplinar de Astrofísica - CENTRA, Departamento de Física, Instituto Superior Técnico, Avenue Rovisco Pais 1, 1049-001 Lisboa, Portugal

Óscar J. C. Dias
Centro Multidisciplinar de Astrofísica - CENTRA, Departamento de Física, F.C.T., Universidade do Algarve, Campus de Gambelas, 8005-139 Faro, Portugal and CENTRA, Departamento de Física, Instituto Superior Técnico, Avenue Rovisco Pais 1, 1049-001 Lisboa, Portugal

Received 4 May 2004; published 12 October 2004

Superradiance in black hole spacetimes can trigger instabilities. Here we show that, due to superradiance, small Kerr–anti-de Sitter black holes are unstable. Our demonstration uses a matching procedure, in a long wavelength approximation.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.70.084011
DOI:
10.1103/PhysRevD.70.084011
PACS:
04.70.–s

*Electronic address: vcardoso@teor.fis.uc.pt

Electronic address: odias@ualg.pt