Wormhole solutions and energy conditions in f(R; T) gravity with exponential models

Abstract

In the present article, we explore the new exact solutions of wormhole geometry by imposing the nonconstant Ricci scalar under inhomogeneous spacetime in the modified f(R; T) theory of gravity. We take two dissimilar models of f1(R) that are f1(R) = R 􀀀 (1 􀀀 e 􀀀R ) known as exponential gravity model and f1(R) = R 􀀀 tanh(R ) known as Tsujikawa model, where; are model parameters. We explore the feasible solutions for these models. Moreover, we discuss analytically and graphically the different properties of these models of wormholes by giving suitable values to the model parameters. We consider a specific shape functions i.e., b(r) = r0 log( r r0 + 1) and discuss the energy conditions for the above mentioned two models. Conclusively, we find that obtained wormhole solutions are physically acceptable with the considered exponential and Tsujikawa gravity models with or without the presence of exotic matter.