Lorentz Distributed Noncommutative $F(T,T_G)$ Wormhole Solutions

TL;DR

This paper investigates static spherically symmetric wormhole solutions within noncommutative $F(T,T_G)$ gravity, analyzing their shape, energy conditions, and stability, and finds that realistic and stable wormholes can exist in this framework.

Contribution

It introduces specific $F(T,T_G)$ models with Lorentzian distribution and demonstrates the existence and stability of wormhole solutions in this modified gravity context.

Findings

Existence of realistic wormhole solutions in both models.

Wormholes satisfy null and weak energy conditions.

Solutions are stable under equilibrium conditions.

Abstract

The aim of this paper is to study static spherically symmetric noncommutative $F(T,T_G)$ wormhole solutions along with Lorentzian distribution. Here, $T$ and $T_G$ are torsion scalar and teleparallel equivalent Gauss-Bonnet term, respectively. We take a particular redshift function and two $F(T,T_G)$ models. We analyze the behavior of shape function and also examine null as well as weak energy conditions graphically. It is concluded that there exist realistic wormhole solutions for both models. We also study the stability of these wormhole solutions through equilibrium condition and found them stable.