Non-commutative wormholes exhibiting conformal motion in Rastall gravity

Abstract

In the present paper, we explore the existence of wormhole solutions using conformal symmetries in Rastall theory of gravity. For this purpose, we take spherical symmetric model filled with matter distribution as anisotropic fluid. For the sake of simplifications, we consider the energy density profiles of Gaussian and Lorentzian distributions of non-commutative geometry. Using both these distributions, we obtain analytic wormhole solutions in terms of some special math functions like gamma, exponential and hypergeometric functions. For graphical illustrations, we take some appropriate choices of the free parameters along with different values of Rastall parameter. It is seen that in both cases, the obtained wormhole solutions satisfy the basic criteria of wormhole existence. Further, we describe the possible constraints for the positivity of active gravitational mass in both distributions. We also explore the stability of obtained wormholes solutions by utilizing the modified equilibrium condition in terms of four different forces in Rastall theory. It is concluded that the constructed solutions are stable and physically viable.