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arXiv · 1410.1869

Stability of AdS in Einstein Gauss Bonnet Gravity

Nils Deppe·Allison Kolly·Andrew Frey·Gabor Kunstatter
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Abstract

Recently it has been argued that in Einstein gravity Anti-de Sitter spacetime is unstable against the formation of black holes for a large class of arbitrarily small perturbations. We examine the effects of including a Gauss-Bonnet term. In five dimensions, spherically symmetric Einstein-Gauss-Bonnet gravity has two key features: Choptuik scaling exhibits a radius gap, and the mass function goes to a finite value as the horizon radius vanishes. These suggest that black holes will not form dynamically if the total mass/energy content of the spacetime is too small, thereby restoring the stability of AdS spacetime in this context. We support this claim with numerical simulations and uncover a rich structure in horizon radii and formation times as a function of perturbation amplitude.

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Nils Deppe, Allison Kolly, Andrew Frey, Gabor Kunstatter. 2015-01-30. Stability of AdS in Einstein Gauss Bonnet Gravity. https://doi.org/10.1103/physrevlett.114.071102

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