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

G.DOTTI Y R.J.GLEISER

PHYSICAL REVIEW D - PARTICLE AND FILDS

American Physical Society

Año: 2005 vol. 72 p. 44018 - 44018

0556-2821

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.