Energy Bounds for Static Spherically Symmetric Spacetime in f(R, G) Gravity

Abstract

The main purpose of this paper is to investigate energy bounds in the context of f (R, G) gravity. To meet this aim, we choose static spherically symmetric spacetime in f (R, G) gravity to develop the field equations. We select three different models of f (R, G) gravity, which are thoroughly discussed in the literature. Firstly, the inequalities are formulated using energy bounds and then viability of the considered models are checked respectively. Graphical analysis show that specific f (R, G) gravity models are satisfied under suitable values of model parameters. It is shown that in a certain case energy bounds are satisfied expect SEC, which supports the late time acceleration expansion of unverse.

Cosmological model with time varying deceleration parameter in F(R, G) gravity

“…An interesting modification to the Einstein theory of gravity is the F(R, G) gravity [29][30][31][32][33][34][35]. The most general action for this gravity is given by…”

“…With the purpose of circumventing these shortcomings, the F(R) gravity has been extended through the consideration of further scalars in the referred Einstein-Hilbert action. In this regard, the F(R, G) gravity [29][30][31][32][33][34][35], with G being the Gauss-Bonnet scalar, arises as an optimistic alternative. For instance, a double inflationary scenario naturally emerges in the F(R, G) gravity according to [29].…”