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

Journal Article · Tue Aug 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.044008· OSTI ID:20870986

Cardoso, Vitor; Dias, Oscar J. C.; Yoshida, Shijun ^[1]

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1. Department of Physics and Astronomy, The University of Mississippi, University, Mississippi 38677-1848 (United States)

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.

• OSTI ID: 20870986
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLIFICATION
BLACK HOLES
COSMOLOGY
DE SITTER GROUP
DISTURBANCES
EQUILIBRIUM
INSTABILITY
KERR METRIC
SCALARS
UNIVERSE
VELOCITY