Dark-energy wormholes in generalized Kaluza-Klein gravity
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911818625056768 |
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| author | Kuhfittig, Peter K. F. |
| author_facet | Kuhfittig, Peter K. F. |
| contents | This paper discusses traversable wormholes in a dark-energy setting by starting with a model due to Sung-Won Kim. This model, based on the Friedmann-Lemaitre-Robertson-Walker model, is combined with a generalized Kaluza-Klein model. It is well known that phantom dark energy can in principle support traversable wormholes due to the violation of the null energy condition (NEC), a necessary condition for holding a wormhole open. Since the phantom divide constitutes a serious barrier, we retain the dark-energy assumption $a''(t)>0$ but stay below the phantom divide. To show that the violation of the NEC can only come from the fifth dimension requires a careful analysis of the scale factor $a(t)$. While needed in the overall model, certain 1-forms lack this scale factor since the extra dimension, often assumed to be compactified, would not be affected by the cosmological expansion. The result is a viable wormhole model of the Sung-Won Kim type. Our main conclusion involves Morris-Thorne wormholes: due to the Kaluza-Klein gravity, we obtain a complete wormhole solution without crossing the phantom divide. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_08948 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dark-energy wormholes in generalized Kaluza-Klein gravity Kuhfittig, Peter K. F. General Relativity and Quantum Cosmology This paper discusses traversable wormholes in a dark-energy setting by starting with a model due to Sung-Won Kim. This model, based on the Friedmann-Lemaitre-Robertson-Walker model, is combined with a generalized Kaluza-Klein model. It is well known that phantom dark energy can in principle support traversable wormholes due to the violation of the null energy condition (NEC), a necessary condition for holding a wormhole open. Since the phantom divide constitutes a serious barrier, we retain the dark-energy assumption $a''(t)>0$ but stay below the phantom divide. To show that the violation of the NEC can only come from the fifth dimension requires a careful analysis of the scale factor $a(t)$. While needed in the overall model, certain 1-forms lack this scale factor since the extra dimension, often assumed to be compactified, would not be affected by the cosmological expansion. The result is a viable wormhole model of the Sung-Won Kim type. Our main conclusion involves Morris-Thorne wormholes: due to the Kaluza-Klein gravity, we obtain a complete wormhole solution without crossing the phantom divide. |
| title | Dark-energy wormholes in generalized Kaluza-Klein gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2303.08948 |