Stable wormhole existence under noncommutative distributed background in Rastall theory

Abstract

This study describes the Rastall modified theory with noncommutative Gaussian- and Lorentzian-like distributions to find spherical and symmetric wormhole solutions. The basic concept of noncommutative geometry with both distributions is a physically acceptable and significant topic of quantum physics. It becomes more illustrious and interesting when we combine it with the concept of wormhole geometry. Therefore, it calculates the viable and physically realistic solutions for wormhole existential geometry under Gaussian and Lorentzian frameworks. Further, in the presence of Gaussian and Lorentzian distributions, the feasible and acceptable wormhole solutions are shown graphically. Furthermore, the stability analysis is discussed by using the Tolman–Oppenheimer–Volkov equation for all of the solutions under Gaussian- and Lorentzian-like distributions in the Rastall framework. For this purpose, we will take suitable particular values of the free and dimensionless parameters. At the end, it is concluded that our obtained solutions are physically arguable.