Traversable wormholes in Rastall teleparallel gravity with non-commutative geometry

• Published in: New astronomy 2023-05, Vol.100, p.101993, Article 101993
• Main Authors: Song, Shi-Qin, Güdekli, Ertan
• Format: Article
• Language: English
• Subjects: Non-commutative geometry; Rastall gravity; Rastall teleparallel theory; Wormhole
• ISSN: 1384-1076; 1384-1092
• DOI: 10.1016/j.newast.2022.101993

The current study explores new wormhole models with the framework of Rastall teleparallel theory. For this study, we are working with non-commutative geometry with Gaussian and Lorentzian distributions. The static and spherically symmetric spacetime is taken with the anisotropic source of fluid. Further, we compare the matter density with the Gaussian and Lorentzian distributions and get two different differential equations involving shape functions. The exact solution for the wormhole shape function is calculated for both distributions. The expression for energy conditions is provided. The graphical behavior of shape functions and energy conditions is presented for Rastall teleparallel theory under the current scenario. All the inquired results with necessary findings are concluded. •The current study explores new wormhole models with the framework of Rastall teleparallel theory.•For this study, we are working with non-commutative geometry with Gaussian and Lorentzian distributions.•The static and spherically symmetric spacetime is taken with the anisotropic source of fluid.•The exact solution for the wormhole shape function is calculated for both distributions.