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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | https://arxiv.org/abs/2509.01374 |
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| _version_ | 1866911132247130112 |
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| author | Toh, Yu-Xuan Chin, Yun-Ten Wu, Ethan Quanrun Lim, Yen-Kheng |
| author_facet | Toh, Yu-Xuan Chin, Yun-Ten Wu, Ethan Quanrun Lim, Yen-Kheng |
| contents | The properties of the Melvin-type spacetime with a positive cosmological constant $Λ$ in $d$-dimensional Einstein--Maxwell gravity is studied. The solution is parametrised in terms of the `de Sitter radius' $\ell\proptoΛ^{-1/2}$ and the magnetic field parameter $β$, and they are warped products of the form $\mathbb{R}^{1,d-3}\times S^2$, where $\mathbb{R}^{1,d-3}$ is the $(d-2)$-dimensional Minkowski spacetime and $S^2$ is topologically a two-sphere which contains a conical singularity, whose nature depends on the product $β\ell$. In the limit $\ell\rightarrow\infty$, the $S^2$ decompactifies and the $d$-dimensional Melvin universe is recovered. The Freund--Rubin-type flux compactification model is shown to be another particular limit of this solution. We also calculate the flux and geodesics in this spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_01374 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Properties of the magnetic universe with positive cosmological constant Toh, Yu-Xuan Chin, Yun-Ten Wu, Ethan Quanrun Lim, Yen-Kheng General Relativity and Quantum Cosmology High Energy Physics - Theory The properties of the Melvin-type spacetime with a positive cosmological constant $Λ$ in $d$-dimensional Einstein--Maxwell gravity is studied. The solution is parametrised in terms of the `de Sitter radius' $\ell\proptoΛ^{-1/2}$ and the magnetic field parameter $β$, and they are warped products of the form $\mathbb{R}^{1,d-3}\times S^2$, where $\mathbb{R}^{1,d-3}$ is the $(d-2)$-dimensional Minkowski spacetime and $S^2$ is topologically a two-sphere which contains a conical singularity, whose nature depends on the product $β\ell$. In the limit $\ell\rightarrow\infty$, the $S^2$ decompactifies and the $d$-dimensional Melvin universe is recovered. The Freund--Rubin-type flux compactification model is shown to be another particular limit of this solution. We also calculate the flux and geodesics in this spacetime. |
| title | Properties of the magnetic universe with positive cosmological constant |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.01374 |