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arXiv · 2502.01246

Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections

Marco Castrillón López·Pedro M. Gadea·Eugenia Rosado Maria
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Abstract

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 $\Lambda$ in the bundle of orthonormal frames of $M$ and some diagonal metric on the holonomy algebra corresponding to $\Lambda$.

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Marco Castrillón López, Pedro M. Gadea, Eugenia Rosado Maria. 2025-02-03. Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections. https://arxiv.org/abs/2502.01246

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