Generating black holes in 4D Einstein–Gauss–Bonnet gravity. (19th November 2020)

• Record Type: Journal Article
• Authors: Ghosh, Sushant G; Kumar, Rahul
• Is Part Of: Classical and quantum gravity. Volume 37:Number 24(2020:Dec.)
• Publication Date: 2020-11-19
• Subjects: generating black hole -- EGB gravity -- type II fluid -- spherical symmetric solutions; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/abc134
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: In recent times there is a surge of interest in constructing Einstein–Gauss–Bonnet (EGB) gravity, in the limit D → 4, of the D -dimensional EGB gravity. Interestingly, the static spherically symmetric solutions in the various proposed D → 4 regularized EGB gravities coincide, and incidentally some other theories also admit the same solution. We prove a theorem that characterizes a large family of nonstatic or radiating spherically symmetric solutions to the 4 D EGB gravity, representing, in general, spherically symmetric type II fluid. An extension of the theorem, given without proof as being similar to the original theorem, generates static spherically symmetric black hole solutions of the theory. It not only enables us to identify available known black hole solutions as particular cases but also to generate several new solutions of the 4 D EGB gravity.