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

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

2005-03-30

arxiv.org/abs/gr-qc/0503117v2

Phys.Rev. D72 (2005) 044018

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 4 figures

Scientific paper

10.1103/PhysRevD.72.044018

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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