Stable wormholes on a noncommutative-geometry background admitting a one-parameter group of conformal motions

TL;DR

This paper constructs stable traversable wormholes within a noncommutative-geometry background, assuming conformal symmetries, and demonstrates their stability against linear radial perturbations.

Contribution

It introduces a novel approach to deriving stress-energy tensors for wormholes using noncommutative geometry and conformal motions, ensuring stability.

Findings

Wormholes are stable under linear radial perturbations.

The noncommutative-geometry background influences the wormhole structure.

Conformal motions facilitate the construction of stable wormholes.

Abstract

When Morris and Thorne first proposed the possible existence of traversable wormholes, they adopted the following strategy: maintain complete control over the geometry, thereby leaving open the determination of the stress-energy tensor. In this paper we determine this tensor by starting with a noncommutative-geometry background and assuming that the static and spherically symmetric spacetime admits conformal motions. This had been established in a previous collaboration with Rahaman et al. using a slightly different approach. Accordingly, the main purpose of this paper is to show that the wormhole obtained can be made stable to linearized radial perturbations.