Searching for higher dimensional wormholes with noncommutative geometry

TL;DR

This paper explores higher-dimensional wormhole solutions within noncommutative geometry, revealing their existence in four and five dimensions but not beyond, thus extending understanding of wormholes in string theory contexts.

Contribution

It provides new wormhole solutions in four and five dimensions using extended noncommutative geometry, highlighting dimensional limitations.

Findings

Wormhole solutions exist in four and five dimensions.

No solutions found in higher-dimensional spacetimes.

Extends noncommutative geometry applications to higher dimensions.

Abstract

Noncommutative geometry, an offshoot of string theory, replaces point-like structures with smeared objects and has recently been extended to higher dimensions. The purpose of this letter is to obtain wormhole solutions with this extended noncommutative geometry as a background. It is found through this investigation that wormhole solutions exist in the usual four, as well as in five dimensions, but they do not exist in higher-dimensional spacetimes.