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

TL;DR

This paper presents new wormhole solutions in a modified gravity framework incorporating noncommutative geometry and conformal symmetry, analyzing their properties and energy conditions.

Contribution

It introduces physically viable wormhole solutions in f(R,Lm) gravity with noncommutative backgrounds and conformal symmetry, focusing on shape functions and exotic matter.

Findings

Shape function satisfies all criteria for wormholes.

Exotic fluid is confirmed in both Gaussian and Lorentzian cases.

Energy conditions are analyzed for the solutions.

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.