Minimally deformed wormholes inspired by noncommutative geometry

TL;DR

This paper introduces new wormhole solutions in General Relativity using minimal geometric deformation and noncommutative geometry profiles, resulting in asymptotically wormhole geometries threaded by exotic matter.

Contribution

It presents novel wormhole solutions inspired by noncommutative geometry and minimal geometric deformation, expanding the space of possible wormhole configurations.

Findings

Energy conditions are violated, indicating exotic matter presence.

Positive density can be achieved at the wormhole throat.

Graphical analysis supports the theoretical solutions.

Abstract

In this article, new wormhole solutions in the framework of General Relativity are presented. Taking advantage of gravitational decoupling by means of minimal geometric deformation approach and, the so-called noncommutative geometry Gaussian and Lorentzian density profiles, the seminal Morris-Thorne space-time is minimally deformed providing new asymptotically wormhole solutions. Constraining the signature of some parameters, the dimensionless constant $\alpha$ is bounded using the flare-out and energy conditions. In both cases, this results in an energy-momentum tensor that violates energy conditions, thus the space-time is threading by exotic matter. However, it is possible to obtain a positive defined density at the wormhole throat and its neighborhood. To further support the study a thoroughly graphical analysis has been performed.