Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866929695800426496 |
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| author | López, Marco Castrillón Gadea, Pedro M. Maria, Eugenia Rosado |
| author_facet | López, Marco Castrillón Gadea, Pedro M. Maria, Eugenia Rosado |
| contents | We classify four-dimensional connected simply-connected indecomposable Lorentzian symmetric spaces $M$ with connected nontrivial isotropy group furnishing solutions of the Einstein-Yang-Mills equations. Those solutions with respect to some invariant metric connection $Λ$ in the bundle of orthonormal frames of $M$ and some diagonal metric on the holonomy algebra corresponding to $Λ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01246 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections López, Marco Castrillón Gadea, Pedro M. Maria, Eugenia Rosado Differential Geometry 53C35, 53C30, 53C50, 70S15 We classify four-dimensional connected simply-connected indecomposable Lorentzian symmetric spaces $M$ with connected nontrivial isotropy group furnishing solutions of the Einstein-Yang-Mills equations. Those solutions with respect to some invariant metric connection $Λ$ in the bundle of orthonormal frames of $M$ and some diagonal metric on the holonomy algebra corresponding to $Λ$. |
| title | Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections |
| topic | Differential Geometry 53C35, 53C30, 53C50, 70S15 |
| url | https://arxiv.org/abs/2502.01246 |