Traversable wormhole models in modified theories of gravity

Abstract

In this paper, we explore traversable wormhole solutions in different cases of modified [Formula: see text] theories of gravity. We have taken the functional form [Formula: see text], where [Formula: see text] is Ricci scalar and [Formula: see text] is the trace of energy momentum tensor, while [Formula: see text] and [Formula: see text] are constants. The different forms of [Formula: see text]-gravity in [Formula: see text], [Formula: see text] frameworks and [Formula: see text] gravity are analyzed with its geometric behavior. The energy conditions are also discussed in the isotropic scenario using EoS [Formula: see text] and hybrid shape function [Formula: see text], where [Formula: see text] is the throat radius. In this investigation, we found that quadratic geometric term and linear trace term of [Formula: see text] gravity and hybrid shape function play a significant contribution to validate the energy conditions for nonexotic wormhole solutions.