paper

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

arXiv:gr-qc/0503117 · doi:10.1103/PhysRevD.72.044018

Abstract

We study the stability under linear perturbations of a class of static solutions of Einstein-Gauss-Bonnet gravity in dimensions with spatial slices of the form $Σ_{\k}^n \times {\mathbb R}^+$, $Σ_{\k}^n$ an 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.

14 pages, 4 figures

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