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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2505.02210 |
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| _version_ | 1866911608831213568 |
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| author | Pisana, Alessandro Shoshany, Barak Antoniou, Stathis Kauffman, Louis H. Lambropoulou, Sofia |
| author_facet | Pisana, Alessandro Shoshany, Barak Antoniou, Stathis Kauffman, Louis H. Lambropoulou, Sofia |
| contents | We construct a model for the nucleation of a wormhole within a Lorentzian spacetime by employing techniques from topological surgery and Morse theory. In our framework, a 0-surgery process describes the neighborhood of the nucleation point inside a compact region of spacetime, yielding a singular Lorentzian cobordism that connects two spacelike regions with different topologies. To avoid the singularity at the critical point of the Morse function, we employ the Misner trick of taking a connected sum with a closed 4-manifold -- namely $\mathbb{CP}^{2}$ -- to obtain an everywhere nondegenerate Lorentzian metric. This connected sum replaces the naked singularity with a region containing closed timelike curves. The obtained spacetime is nonsingular, but violates all the standard energy conditions. Our construction, thus, shows that a wormhole can be "created" without singularities in classical general relativity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02210 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Wormhole Nucleation via Topological Surgery in Lorentzian Geometry Pisana, Alessandro Shoshany, Barak Antoniou, Stathis Kauffman, Louis H. Lambropoulou, Sofia General Relativity and Quantum Cosmology Mathematical Physics Geometric Topology 83C75 (Primary), 57R65, 53C50 (Secondary) We construct a model for the nucleation of a wormhole within a Lorentzian spacetime by employing techniques from topological surgery and Morse theory. In our framework, a 0-surgery process describes the neighborhood of the nucleation point inside a compact region of spacetime, yielding a singular Lorentzian cobordism that connects two spacelike regions with different topologies. To avoid the singularity at the critical point of the Morse function, we employ the Misner trick of taking a connected sum with a closed 4-manifold -- namely $\mathbb{CP}^{2}$ -- to obtain an everywhere nondegenerate Lorentzian metric. This connected sum replaces the naked singularity with a region containing closed timelike curves. The obtained spacetime is nonsingular, but violates all the standard energy conditions. Our construction, thus, shows that a wormhole can be "created" without singularities in classical general relativity. |
| title | Wormhole Nucleation via Topological Surgery in Lorentzian Geometry |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Geometric Topology 83C75 (Primary), 57R65, 53C50 (Secondary) |
| url | https://arxiv.org/abs/2505.02210 |