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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2509.01374 |
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Table des matières:
- 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.