Minimally Deformed Wormholes Inspired by Noncommutative Geometry

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 α 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 an exotic matter distribution. 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.

Matching Slowly Rotating Spacetimes Split by Dynamic Thin Shells

“…Cases were found where the surface energy density could be negative, but the authors deemed them unphysical. For further interesting slowly rotating thin-shell applications, see [9][10][11][12][13][14] and the references therein.…”