Gravastars in f(R,G) gravity

In this paper, we discuss some feasible features of gravastar that was firstly demonstrated by Mazur and Mottola. It is already established that gravastar associates the de-Sitter spacetime in its inner sector with the Schwarzschild geometry at its exterior through the thin shell possessing the ultra-relativistic matter. We have explored the singularity free spherical model with a particular equation of state under the influence of f(R,G) gravity, where R is the Ricci scalar and G is the Gauss–Bonnet term. The interior geometry is matched with a suitable exterior using Israel formalism. Also, we discussed feasible solution of gravastar which describes the other physically sustainable factors under the influence of f(R,G) gravity. Different realistic characteristics of the gravastar model are discussed, in particular, shell’s length, entropy and energy. A significant role of this particular gravity is examined for the sustainability of gravastar model.