Stability of anti-de sitter space in Einstein-Gauss-Bonnet gravity.
Autor: | Deppe N; Physics Department, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9 Canada., Kolly A; Physics Department, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9 Canada., Frey A; Physics Department, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9 Canada., Kunstatter G; Physics Department, University of Winnipeg, Winnipeg, Manitoba, R3B 2E9 Canada. |
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Jazyk: | angličtina |
Zdroj: | Physical review letters [Phys Rev Lett] 2015 Feb 20; Vol. 114 (7), pp. 071102. Date of Electronic Publication: 2015 Feb 20. |
DOI: | 10.1103/PhysRevLett.114.071102 |
Abstrakt: | 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. |
Databáze: | MEDLINE |
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