Noncommutative Wormhole Solutions in Einstein Gauss-Bonnet Gravity

TL;DR

This paper investigates static spherically symmetric wormhole solutions within Einstein Gauss-Bonnet gravity in higher dimensions, focusing on energy condition satisfaction using non-commutative geometries and analyzing their stability.

Contribution

It presents novel wormhole solutions in higher-dimensional Einstein Gauss-Bonnet gravity that satisfy energy conditions, including stable fifth-dimensional solutions.

Findings

Fifth-dimensional stable wormholes satisfy energy conditions.

Solutions are derived using Gaussian and Lorentzian non-commutative geometries.

Both positive and negative Gauss-Bonnet coefficients are considered.

Abstract

In this paper, we explore static spherically symmetric wormhole solutions in the framework of $n$-dimensional Einstein Gauss-Bonnet gravity. Our objective is to find out wormhole solutions that satisfy energy conditions. For this purpose, we consider two frameworks such as Gaussian distributed and Lorentzian distributed non-commutative geometry. Taking into account constant redshift function, we obtain solutions in the form of shape function. The fifth and sixth dimensional solutions with positive as well as negative Gauss-Bonnet coefficient are discussed. Also, we check the equilibrium condition for the wormhole solutions with the help of generalized Tolman-Oppenheimer-Volkov equation. It is interesting to mention here that we obtain fifth dimensional stable wormhole solutions in both distributions that satisfy the energy conditions.