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Quasi-normal modes of toroidal, cylindrical and planar black holes in anti-de Sitter spacetimes: scalar, electromagnetic and gravitational perturbations

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arxiv gr-qc/0107098 v2 pith:QBL42CQX submitted 2001-07-30 gr-qc hep-th

Vitor Cardoso , Jose' P. S. Lemos This is my paper · ORCID
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keywords blackanti-decorrespondingcylindricalelectromagneticfieldgravitationalholes
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We study the quasi-normal modes (QNM) of scalar, electromagnetic and gravitational perturbations of black holes in general relativity whose horizons have toroidal, cylindrical or planar topology in an asymptotically anti-de Sitter (AdS) spacetime. The associated quasinormal frequencies describe the decay in time of the corresponding test field in the vicinities of the black hole. In terms of the AdS/CFT conjecture, the inverse of the frequency is a measure of the dynamical timescale of approach to thermal equilibrium of the corresponding conformal field theory.

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Cited by 3 Pith papers

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

  1. Quasinormal modes of Proca and Maxwell fields in $d$-dimensional Schwarzschild-AdS black holes

    gr-qc 2026-05 conditional novelty 7.0 of 10

    Scalar-type Maxwell perturbations in large d≥5 Schwarzschild-AdS black holes exhibit purely imaginary low-frequency quasinormal modes, confirmed numerically and by asymptotic matching.

  2. On partial groups of small order

    math.GR 2026-05 unverdicted novelty 6.0 of 10

    Computer enumeration produces 123650 partial groups of order ≤9 and 178937003 of order 10, with complete lists of indecomposables of order ≤5.

  3. Black string immersed in perfect fluid dark matter

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    Exact 4D black string in AdS with perfect fluid dark matter, metric modified by log term in α, horizons via Lambert W function, heat capacity diverges for α>0 suggesting phase transition where weak energy condition violated.

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