Cosmologically viable f(R) model and wormhole solutions

Abstract

In this paper, Morris Thorne wormholes are considered in the context of [Formula: see text] gravity. A shape function is defined as [Formula: see text], where [Formula: see text] is constant. The equation of state is considered as [Formula: see text] and [Formula: see text] function is derived. The wormhole solutions are obtained and energy conditions are examined. Further, the [Formula: see text] model is found to be consistent with local gravity tests and stability of cosmological perturbations and late-time de Sitter point. Cosmological evolution is also explored using Friedman-Robertson-Walker (FRW) metric in [Formula: see text] gravity.