A comparative study of wormhole models in f(R,T) gravity

Abstract

We have conducted research on the presence of wormholes characterized by a logarithmic shape function within the framework of exponential [Formula: see text] gravity. This gravity model is defined as [Formula: see text], with [Formula: see text] representing an arbitrary constant. We find that the logarithmic shape function serves as expected, providing all the necessary conditions for traversable and asymptotically flat wormholes. We have examined the solutions with three distinct sets of physical constraints placed on [Formula: see text], [Formula: see text] and [Formula: see text]. viz. Model-I: [Formula: see text] with k being variable dependent on r and [Formula: see text] with [Formula: see text] being EoS parameter, Model-II: [Formula: see text] and [Formula: see text] with [Formula: see text] and [Formula: see text] being EoS parameters, Model-III: Trace is zero i.e. [Formula: see text] or [Formula: see text] i.e. [Formula: see text] gravity model. From Model-I, we have obtained a new parametrization for EoS parameter [Formula: see text] and from Model-III, we have obtained a new form of shape function [Formula: see text] in [Formula: see text] gravity theory.