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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Published inClassical and quantum gravity Vol. 37; no. 24; pp. 245008 - 245023
Main Authors Ghosh, Sushant G, Kumar, Rahul
Format Journal Article
LanguageEnglish
Published IOP Publishing 17.12.2020
Subjects
EGB gravity
generating black hole
spherical symmetric solutions
type II fluid
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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 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.
AbstractList 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.
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.
Author Kumar, Rahul
Ghosh, Sushant G
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  givenname: Rahul
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  organization: Jamia Millia Islamia Centre for Theoretical Physics, New Delhi 110 025, India
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Snippet 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....
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....
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StartPage 245008
SubjectTerms EGB gravity
generating black hole
spherical symmetric solutions
type II fluid
Title Generating black holes in 4D Einstein-Gauss-Bonnet gravity
URI https://iopscience.iop.org/article/10.1088/1361-6382/abc134
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