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Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part I: tensor perturbations

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arxiv gr-qc/0503117 v2 pith:NAEB63S6 submitted 2005-03-30 gr-qc hep-th

Gustavo Dotti , Reinaldo J. Gleiser This is my paper · ORCID
classification gr-qchep-th
keywords perturbationslineartensorclasseinstein-gauss-bonnetsigmastabilitystatic
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abstract

We study the stability under linear perturbations of a class of static solutions of Einstein-Gauss-Bonnet gravity in $D=n+2$ dimensions with spatial slices of the form $\Sigma_{\k}^n \times {\mathbb R}^+$, $\Sigma_{\k}^n$ an $n-$manifold of constant curvature $\k$. Linear perturbations for this class of space-times can be generally classified into tensor, vector and scalar types. The analysis in this paper is restricted to tensor perturbations.

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Cited by 4 Pith papers

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

  1. The (in)stability of quasinormal modes of Boulware-Deser-Wheeler black hole in the hyperboloidal framework

    gr-qc 2024-12 conditional novelty 6.0 of 10

    For Boulware-Deser-Wheeler black holes, quasinormal-mode spectra are pseudospectrally unstable, yet time-domain waveforms shift only quadratically under small potential bumps.

  2. Quasinormal modes and grey-body factors of Morris-Thorne wormholes

    gr-qc 2024-12 reject novelty 6.0 of 10

    Sixth-order WKB formulas for wormhole quasinormal modes and grey-body factors are presented, but the grey-body factor part is internally inconsistent.

  3. Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes

    gr-qc 2025-05 conditional novelty 4.0 of 10

    Massive scalar perturbations of 4D Einstein-Gauss-Bonnet de Sitter black holes are stable and show three quasinormal mode branches, including a non-perturbative de Sitter branch that disappears in the Schwarzschild-de...

  4. Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime

    gr-qc 2024-12 conditional novelty 4.0 of 10

    For massive scalar fields around de Sitter black holes, grey-body factors computed from quasinormal modes agree with direct WKB calculations to high precision, even for low multipoles.

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