Wormhole inspired by non-commutative geometry

TL;DR

This paper explores wormhole solutions inspired by non-commutative geometry, focusing on configurations with point-like sources and conformal symmetries, revealing physically viable wormholes in this framework.

Contribution

It introduces new wormhole solutions within non-commutative geometry considering conformal Killing vectors, without the usual smearing of sources.

Findings

Wormhole solutions exist with Lorentzian distribution and conformal symmetry.

The solutions possess physically acceptable properties.

Non-commutative geometry can support viable wormholes without smeared sources.

Abstract

In the present work we search for a new wormhole solution inspired by noncommutative geometry with the additional condition of allowing conformal Killing vectors (CKV). A special aspect of noncommutative geometry is that it replaces point-like structures of gravitational sources with smeared objects under Gaussian distribution. However, the purpose of this paper is to obtain wormhole solutions with noncommutative geometry as a background where we consider a point-like structure of gravitational object without smearing effect. It is found through this investigation that wormhole solutions exist in this Lorentzian distribution with viable physical properties.