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Seahra, S.S. and Wesson, P.S. (2003) Application of the Campbell Magaard Theorem to Higher-Dimensional Physics. Classical and Quantum Gravity, 20, 1321-1339.
https://doi.org/10.1088/0264-9381/20/7/306

has been cited by the following article:

• TITLE: Thin-Shell Wormholes Admitting Conformal Motions in Spacetimes of Embedding Class One

  AUTHORS: Peter K. F. Kuhfittig

  KEYWORDS: Thin-Shell Wormholes, Conformal Symmetry, Embedding Class One, Exotic Matter

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.14 No.3, July 30, 2024

  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 σ is positive, while the surface pressure is negative, resulting in , 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.