Stability of Anti–de Sitter Space in Einstein-Gauss-Bonnet Gravity

Nils Deppe, Allison Kolly, Andrew Frey, and Gabor Kunstatter
Phys. Rev. Lett. 114, 071102 – Published 20 February 2015
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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 anti–de Sitter 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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  • Received 8 October 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.071102

© 2015 American Physical Society

Authors & Affiliations

Nils Deppe*, Allison Kolly, Andrew Frey, and Gabor Kunstatter§

  • Physics Department, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9 Canada

  • *Present address: Physics Department, Cornell University, Ithaca, New York 14850, USA. nd357@cornell.edu
  • allisonkolly@gmail.com
  • a.frey@uwinnipeg.ca
  • §g.kunstatter@uwinnipeg.ca

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Vol. 114, Iss. 7 — 20 February 2015

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