Exploring wormhole solutions in curvature–matter coupling gravity supported by noncommutative geometry and conformal symmetry

Abstract

This article explores new physically viable wormhole solutions within the framework of f(R,ℒm) gravity theory, incorporating noncommutative backgrounds and conformal symmetries. The study investigates the impact of model parameters on the existence and properties of wormholes. The derived shape function is found to obey all the required criteria. Specific attention is given to traceless wormholes with Gaussian and Lorentzian distributions, investigating the behavior of the shape functions and energy conditions. In both cases, the presence of exotic fluid is confirmed.