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Phys. Rev. D 74, 044008 (2006) [9 pages]

Classical instability of Kerr-AdS black holes and the issue of final state

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Vitor Cardoso*
Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677-1848, USA

Óscar J. C. Dias†
Perimeter Institute for Theoretical Physics, Waterloo, Ontario, Canada N2L 2Y5
and Department of Physics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Shijun Yoshida‡
Science and Engineering, Waseda University, Okubo, Shinjuku, Tokyo 169-8555, Japan

Received 8 July 2006; published 10 August 2006

It is now established that small Kerr–anti-de Sitter (Kerr-AdS) black holes are unstable against scalar perturbations, via the superradiant amplification mechanism. We show that small Kerr-AdS black holes are also unstable against gravitational perturbations and we compute the features of this instability. We also describe with great detail the evolution of this instability. In particular, we identify its end-point state. It corresponds to a Kerr-AdS black hole whose boundary is an Einstein universe rotating with the light velocity. This black hole is expected to be slightly oblate and to coexist in equilibrium with a certain amount of outside radiation.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.044008
DOI:
10.1103/PhysRevD.74.044008
PACS:
04.70.−s, 04.50.+h

*Also at Centro de Física Computacional, Universidade de Coimbra, P-3004-516 Coimbra, Portugal.

Electronic address: vcardoso@phy.olemiss.edu

†Electronic address: odias@perimeterinstitute.ca

‡Electronic address: shijun@waseda.jp

 
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