The fate of instability of de Sitter black holes at large D

• Published in: The journal of high energy physics Vol. 2019; no. 11; pp. 1 - 15
• Main Authors: Li, Peng-Cheng, Zhang, Cheng-Yong, Chen, Bin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019; Springer Nature B.V; SpringerOpen
• Subjects: Black Holes; Classical and Quantum Gravitation; Classical Theories of Gravity; Economic models; Elementary Particles; Gravitational instability; High energy physics; Linear analysis; Perturbation; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Rings (mathematics); Stability analysis; String Theory; Thresholds; Time dependence; Topology; Classical Theories of Gravity; Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2019)042

A bstract We study non-linearly the gravitational instabilities of the Reissner- Nordstrom-de Sitter and the Gauss-Bonnet-de Sitter black holes by using the large D expansion method. In both cases, the thresholds of the instability are found to be con- sistent with the linear analysis, and on the thresholds the evolutions of the black holes under the perturbations settle down to stationary lumpy solutions. However, the solutions in the unstable region are highly time-dependent, and resemble the fully localized black spots and black ring with S D− 2 and S 1 × S D− 3 topologies, respectively. Our study indi- cates the possible transition between the lumpy black holes and the localized black holes in higher dimensions.