Generating black holes in 4D Einstein-Gauss-Bonnet gravity

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 ot...

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Bibliographic Details
Published in:Classical and quantum gravity 2020-12, Vol.37 (24), p.245008
Main Authors: Ghosh, Sushant G, Kumar, Rahul
Format: Article
Language:English
Subjects:
EGB gravity
generating black hole
spherical symmetric solutions
type II fluid
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Summary: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 4D 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 4D EGB gravity.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/abc134