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On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole

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arxiv hep-th/0205142 v2 pith:UOLH6NSI submitted 2002-05-14 hep-th

On quasinormal modes of small Schwarzschild-Anti-de-Sitter black hole

classification hep-th
keywords modesquasinormalblackgoesholepartradiusschwarzschild-anti-de-sitter
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We compute the quasinormal modes associated with decay of the massless scalar filed around a small Schwarzschild-Anti-de-Sitter black hole. The computations shows that when the horizon radius is much less than the anti-de-Sitter radius, the imaginary part of the frequency goes to zero as $r_+^{d-2}$ while the real part of $\omega$ decreases to its minimum and then goes to $d-1$. Thus the quasinormal modes approach the usual AdS modes in the limit $r_+ -> 0$. This agrees with suggestions of Horowitz et al (Phys.Rev. D62 024027 (2000)).

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scalar quasinormal modes of Schwarzschild--anti-de Sitter black holes: spectral analysis and generalized boundary conditions

    gr-qc 2026-07 conditional novelty 6.0

    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.

  2. Quasinormal modes and continuum response of de Sitter black holes via complex scaling method

    hep-th 2026-05 unverdicted novelty 6.0

    Complex scaling turns the outgoing boundary problem for de Sitter black hole perturbations into a spectral problem, enabling unified computation of quasinormal modes and continuum response for scalar, electromagnetic,...

  3. Quasinormal modes and continuum response of de Sitter black holes via complex scaling method

    hep-th 2026-05 unverdicted novelty 5.0

    Complex scaling unifies quasinormal modes and continuum response for black-hole perturbations in four-dimensional Schwarzschild-de Sitter spacetimes.

  4. 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.