How a Conformally Flat Impacts Gauss‐Bonnet Gravity?

Abstract

AbstractFirst and foremost, we show that a 4‐dimensional conformally flat generalized Ricci recurrent spacetime is an Einstein manifold. We examine such a spacetime as a solution of ‐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 and . 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.