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Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part II: vector and scalar perturbations

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arxiv gr-qc/0510069 v2 pith:DHAL5D3D submitted 2005-10-14 gr-qc

Reinaldo J. Gleiser , Gustavo Dotti This is my paper · ORCID
classification gr-qc
keywords perturbationsscalarvectorlinearanalyzedclasseinstein-gauss-bonnetgravity
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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. In a previous paper, tensor perturbations were analyzed. In this paper we study vector and scalar perturbations. We show that vector perturbations can be analyzed in general using an S-deformation approach and do not introduce instabilities. On the other hand, we show by analyzing an explicit example that, contrary to what happens in Einstein gravity, scalar perturbations may lead to instabilities in black holes with spherical horizons when the Gauss-Bonnet string corrections are taken into account.

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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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