Wormhole solutions in [formula omitted] gravity under Gaussian and Lorentzian non-commutative distributions with conformal motions

Abstract

This paper deals with the existence of wormhole solutions in F(T,TG) gravity with the assumption that the matter density profile satisfy the Gaussian and Lorentzian distributions. Further, for the solutions of field equations in F(T,TG) gravity, we have used two different models of F(T,TG) gravity. For these specific models of F(T,TG) gravity, we have calculated the feasible solutions for existence of wormholes by using conformal Killing vectors approach. In the presence of Lorentzian and Gaussian distributions with conformal Killing vectors, it has been shown that stable wormhole solutions would exist for particular values of parameters.