Traversable Kaluza-Klein wormholes?
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908601237372928 |
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| author | Simmonds, Christopher Visser, Matt |
| author_facet | Simmonds, Christopher Visser, Matt |
| contents | Various authors have suggested that Kaluza--Klein variants of traversable wormholes might to some extent ameliorate the defocussing properties (the curvature condition violations, and implied energy condition violations) inherent in positing the existence of a traversable wormhole throat. Unfortunately such a hope is ill-founded. We shall show that in a traditional Kaluza--Klein context the price paid for completely eliminating the defocussing properties of the wormhole throat is extremely high -- to completely eliminate curvature condition violations the 5th dimension has to become truly enormous (formally infinite) in the vicinity of the wormhole throat, in a manner that is fundamentally incompatible with the traditional Kaluza--Klein ansatz. At best, the extra dimensions allow one to move the curvature condition violations around, they cannot be eliminated except at prohibitive cost. While traversable Kaluza--Klein wormholes might be interesting for other reasons, it must be emphasized that adding a 5th dimension is not particularly useful in terms of ameliorating violations of the curvature conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02824 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Traversable Kaluza-Klein wormholes? Simmonds, Christopher Visser, Matt General Relativity and Quantum Cosmology Various authors have suggested that Kaluza--Klein variants of traversable wormholes might to some extent ameliorate the defocussing properties (the curvature condition violations, and implied energy condition violations) inherent in positing the existence of a traversable wormhole throat. Unfortunately such a hope is ill-founded. We shall show that in a traditional Kaluza--Klein context the price paid for completely eliminating the defocussing properties of the wormhole throat is extremely high -- to completely eliminate curvature condition violations the 5th dimension has to become truly enormous (formally infinite) in the vicinity of the wormhole throat, in a manner that is fundamentally incompatible with the traditional Kaluza--Klein ansatz. At best, the extra dimensions allow one to move the curvature condition violations around, they cannot be eliminated except at prohibitive cost. While traversable Kaluza--Klein wormholes might be interesting for other reasons, it must be emphasized that adding a 5th dimension is not particularly useful in terms of ameliorating violations of the curvature conditions. |
| title | Traversable Kaluza-Klein wormholes? |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.02824 |