Non-commutative wormhole solutions in exponential gravity with matter coupling

Abstract

In the present article, we use non-commutative geometry to investigate the wormhole solutions in modified f(R, T) theory of gravity. In particular, we consider Gaussian and Lorentzian source with f(R,T)=f1(R)+λT model to discuss the wormhole solutions existence. We choose two different models of f1(R) i.e. f1(R)=R−αγ(1−e−Rγ) known as exponential gravity model and f1(R)=R−αγtanh(Rγ) known as Tsujikawa model, where α, γ are model parameters. We explore the viable solutions for these models. Moreover, we discuss analytically as well as graphically, distinct properties of these model of wormholes by giving suitable values to the model parameters. Conclusively, we find that obtained wormhole solutions are stable and physically acceptable with the considered exponential and Tsujikawa gravity models.