Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-10-14
Phys.Rev. D72 (2005) 124002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, 6 figures
Scientific paper
10.1103/PhysRevD.72.124002
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.
Dotti Gustavo
Gleiser Reinaldo J.
No associations
LandOfFree
Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part II: vector and scalar perturbations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part II: vector and scalar perturbations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Linear stability of Einstein-Gauss-Bonnet static spacetimes. Part II: vector and scalar perturbations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-222567