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How a conformally flat (GR)4 impacts gauss-bonnet gravity?

First and foremost, we show that a 4-dimensional conformally flat generalized Ricci recurrent spacetime (GR)4 is an Einstein manifold. We examine such a spacetime as a solution of f(R,G)-gravity theory and it is shown that the additional terms from the modification of the gravitational sector can be...

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Main Authors: De, Avik, Loo, Tee-How, Solanki, Raja, Sahoo, P. K.
Format: Article
Published: Wiley-V C H Verlag GMBH 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/26464/
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spelling my.um.eprints.264642022-03-04T03:09:10Z http://eprints.um.edu.my/26464/ How a conformally flat (GR)4 impacts gauss-bonnet gravity? De, Avik Loo, Tee-How Solanki, Raja Sahoo, P. K. QA Mathematics First and foremost, we show that a 4-dimensional conformally flat generalized Ricci recurrent spacetime (GR)4 is an Einstein manifold. We examine such a spacetime as a solution of f(R,G)-gravity theory and it is shown that the additional terms from the modification of the gravitational sector can be expressed as a perfect fluid. Several energy conditions are investigated with f(R,G)=R+G and f(R,G)=R2+GlnG. For both the models, weak, null and dominant energy conditions are satisfied while strong energy condition is violated, which is a good agreement with the recent observational studies which reveals that the current universe is in accelerating phase. Wiley-V C H Verlag GMBH 2021-10 Article PeerReviewed De, Avik and Loo, Tee-How and Solanki, Raja and Sahoo, P. K. (2021) How a conformally flat (GR)4 impacts gauss-bonnet gravity? Fortschritte Der Physik-Progress of Physics, 69 (10). ISSN 0015-8208, DOI https://doi.org/10.1002/prop.202100088 <https://doi.org/10.1002/prop.202100088>. 10.1002/prop.202100088
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
De, Avik
Loo, Tee-How
Solanki, Raja
Sahoo, P. K.
How a conformally flat (GR)4 impacts gauss-bonnet gravity?
description First and foremost, we show that a 4-dimensional conformally flat generalized Ricci recurrent spacetime (GR)4 is an Einstein manifold. We examine such a spacetime as a solution of f(R,G)-gravity theory and it is shown that the additional terms from the modification of the gravitational sector can be expressed as a perfect fluid. Several energy conditions are investigated with f(R,G)=R+G and f(R,G)=R2+GlnG. For both the models, weak, null and dominant energy conditions are satisfied while strong energy condition is violated, which is a good agreement with the recent observational studies which reveals that the current universe is in accelerating phase.
format Article
author De, Avik
Loo, Tee-How
Solanki, Raja
Sahoo, P. K.
author_facet De, Avik
Loo, Tee-How
Solanki, Raja
Sahoo, P. K.
author_sort De, Avik
title How a conformally flat (GR)4 impacts gauss-bonnet gravity?
title_short How a conformally flat (GR)4 impacts gauss-bonnet gravity?
title_full How a conformally flat (GR)4 impacts gauss-bonnet gravity?
title_fullStr How a conformally flat (GR)4 impacts gauss-bonnet gravity?
title_full_unstemmed How a conformally flat (GR)4 impacts gauss-bonnet gravity?
title_sort how a conformally flat (gr)4 impacts gauss-bonnet gravity?
publisher Wiley-V C H Verlag GMBH
publishDate 2021
url http://eprints.um.edu.my/26464/
_version_ 1735409416290697216
score 13.211869

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