Slowly evolving noncommutative-geometry wormholes

TL;DR

This paper presents a new model of evolving noncommutative-geometry wormholes within a cosmological framework, deriving solutions that incorporate noncommutative effects on both the wormhole structure and the universe's expansion.

Contribution

It introduces a novel approach combining noncommutative geometry with cosmological wormholes, deriving solutions influenced by the FLRW model and considering noncommutative effects on matter distribution.

Findings

Derived zero-tidal force wormhole solutions

Restricted solutions to flat and open curvature parameters

Showed noncommutative background affects both wormhole and cosmological parts

Abstract

This paper discusses noncommutative-geometry wormholes in the context of a cosmological model due to Sung-Won Kim. An ansatz suggested by the Friedmann-Lemaitre-Robertson-Walker (FLRW) model leads to the assumption that the matter content can be divided into two parts, a cosmological part depending only on time and a wormhole part depending only on space. These assumptions are sufficient for deriving a complete zero-tidal force wormhole solution. The wormhole is evolving due to the scale factor in the FLRW model; it is restricted, however, to the curvature parameters $k=0$ and $k=-1$. Unlike previous models, the noncommutative-geometry background affects both the wormhole part and the cosmological part of the solution.