Search of wormholes in different dimensional non-commutative inspired space-time with lorentzian distribution

TL;DR

This paper investigates the existence of wormhole solutions in various dimensional non-commutative inspired spacetimes using Lorentzian distribution, finding solutions only in four and five dimensions with specific stability and asymptotic properties.

Contribution

It demonstrates that wormholes exist only in four and five dimensions within this framework, highlighting dimensional constraints and stability features.

Findings

Wormholes exist only in four and five dimensions.

In four dimensions, the wormhole is stable and asymptotically flat.

In five dimensions, the wormhole exists only in a restricted region.

Abstract

In this paper we are searching whether the wormhole solutions exists in different dimensional non- commutative inspired spacetimes. It is well known that the noncommutativity of the space is an outcome of string theory and it replaced the usual point like object by a smeared object. Here we have chosen Lorentzian distribution as the density function in the noncommutative inspired space- time. We have observed that the wormhole solutions exist only in four and five dimension, however, higher than fine dimension no wormhole exists. For five dimensional spacetime, we get a wormhole for a restricted region. In usual four dimensional spacetime, we get a stable wormhole which is asymptotically flat.