How a conformally flat (GR)4 impacts gauss-bonnet gravity?
Document Type
Article
Publication Date
10-1-2021
Abstract
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.
Keywords
Conformally flat, Energy conditions, Generalised ricci recurrent, f (R, G) gravity, Modified Gauss-Bonnet gravity
Divisions
MathematicalSciences
Publication Title
Fortschritte Der Physik-Progress of Physics
Volume
69
Issue
10
Publisher
Wiley-V C H Verlag GMBH
Publisher Location
POSTFACH 101161, 69451 WEINHEIM, GERMANY