Ricci-flat Finsler metrics by warped product
In this work, we consider a class of Finsler metrics using the warped product notion introduced by Chen et al. [Internat. J. Math. 29 (2018), 1850081], with another “warping”, one that is consistent with static spacetimes. We will give the PDE characterization for the proposed metrics to be Ricci-fl...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2023-05, Vol.151 (5), p.2169 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this work, we consider a class of Finsler metrics using the warped product notion introduced by Chen et al. [Internat. J. Math. 29 (2018), 1850081], with another “warping”, one that is consistent with static spacetimes. We will give the PDE characterization for the proposed metrics to be Ricci-flat and explicitly construct two non-Riemannian examples. |
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| ISSN: | 0002-9939 1088-6826 |
| DOI: | 10.1090/proc/16217 |