Thin-shell wormholes admitting conformal motions in spacetimes of embedding class one

TL;DR

This paper explores thin-shell wormholes within specific spacetimes that admit conformal motions, showing they violate energy conditions but do so in a physically explainable way, avoiding exotic matter.

Contribution

It demonstrates that thin-shell wormholes in embedding class one spacetimes with conformal symmetry naturally violate energy conditions without requiring exotic matter.

Findings

Surface energy density is positive.

Surface pressure is negative.

Null energy condition is violated, but explained by embedding theory.

Abstract

This paper discusses the feasibility of thin-shell wormholes in spacetimes of embedding class one admitting a one-parameter group of conformal motions. It is shown that the surface energy density $\sigma$ is positive, while the surface pressure $\mathcal{P}$ is negative, resulting in $\sigma +\mathcal{P}<0$, thereby signaling a violation of the null energy condition, a necessary condition for holding a wormhole open. For a Morris-Thorne wormhole, matter that violates the null energy condition is referred to as "exotic." For the thin-shell wormholes in this paper, however, the violation has a physical explanation since it is a direct consequence of the embedding theory in conjunction with the assumption of conformal symmetry. These properties avoid the need to hypothesize the existence of the highly problematical exotic matter.