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

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

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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.

Item Type: Article
Uncontrolled Keywords: Conformally flat; Energy conditions; Generalised ricci recurrent; f (R, G) gravity; Modified Gauss-Bonnet gravity
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 04 Mar 2022 03:09
Last Modified: 04 Mar 2022 03:09

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