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Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior

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arxiv gr-qc/0305037 v2 pith:DADKWRS2 submitted 2003-05-09 gr-qc astro-phhep-th

Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter spacetimes: A complete study on the asymptotic behavior

classification gr-qc astro-phhep-th
keywords blackovertonesholesbehaviorgravitationalhighholelarge
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present a thorough analysis for the quasinormal (QN) behavior, associated with the decay of scalar, electromagnetic and gravitational perturbations, of Schwarzschild-anti-de Sitter black holes. As it is known the anti-de Sitter (AdS) QN spectrum crucially depends on the relative size of the black hole to the AdS radius. There are three different types of behavior depending on whether the black hole is large, intermediate, or small. The results of previous works, concerning lower overtones for large black holes, are completed here by obtaining higher overtones for all the three black hole regimes. There are two major conclusions that one can draw from this work: First, asymptotically for high overtones, all the modes are evenly spaced, and this holds for all three types of regime, large, intermediate and small black holes, independently of l, where l is the quantum number characterizing the angular distribution; Second, the spacing between modes is apparently universal, in that it does not depend on the field, i.e., scalar, electromagnetic and gravitational QN modes all have the same spacing for high overtones. We are also able to prove why scalar and gravitational perturbations are isospectral, asymptotically for high overtones, by introducing appropriate superpartner potentials.

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Cited by 5 Pith papers

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    For a massless scalar on SAdS black holes, deforming the AdS boundary condition away from Dirichlet produces an unstable mode for every nonzero deformation tested.

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  4. Quasinormal modes of black holes and black branes

    gr-qc 2009-05 unverdicted novelty 2.0

    Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitat...

  5. Quasinormal modes of black holes: from astrophysics to string theory

    gr-qc 2011-02 accept novelty 1.0

    This review surveys calculations and interpretations of quasinormal modes for black holes in astrophysics, higher dimensions, and holographic duals without presenting new results.