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: | , , , |
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Format: | Article |
Published: |
Wiley-V C H Verlag GMBH
2021
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Subjects: | |
Online Access: | http://eprints.um.edu.my/26464/ |
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Summary: | 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. |
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