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

Gustavo Dotti·Reinaldo J. Gleiser
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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 $Σ_{\k}^n \times {\mathbb R}^+$, $Σ_{\k}^n$ 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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Gustavo Dotti, Reinaldo J. Gleiser. 2005-07-28. Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part I: tensor perturbations. https://doi.org/10.1103/physrevd.72.044018

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