Thin-shell wormholes admitting conformal motions in spacetimes of embedding class one
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929455379775488 |
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| author | Kuhfittig, Peter K. F. |
| author_facet | Kuhfittig, Peter K. F. |
| contents | 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 $\mathcal{P}$ is negative, resulting in $σ+\mathcal{P}<0$, 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_05581 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thin-shell wormholes admitting conformal motions in spacetimes of embedding class one Kuhfittig, Peter K. F. General Relativity and Quantum Cosmology 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 $\mathcal{P}$ is negative, resulting in $σ+\mathcal{P}<0$, 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. |
| title | Thin-shell wormholes admitting conformal motions in spacetimes of embedding class one |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.05581 |