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

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arxiv hep-th/0607162 v2 pith:IWJQBSE4 submitted 2006-07-22 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords blackkerr-adsholesinstabilityholeperturbationssmallstate
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It is now established that small Kerr-Anti-de Sitter (Kerr-AdS) black holes are unstable against scalar perturbations, via 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 endpoint 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 co-exist in equilibrium with a certain amount of outside radiation.

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Cited by 1 Pith paper

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  1. Weak Cosmic Censorship with spinning particles in Kerr-(A)dS spacetimes

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Extremal Kerr-de Sitter black holes cannot be overspun by spinning test particles, and apparent Kerr-anti-de Sitter overspinning configurations are eliminated once the particle's finite size is respected.

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