Einstein--Maxwell equations on 4-dimensional Lie algebras
Caner Koca, Mehdi Lejmi
TL;DR
This paper classifies all non-Einstein solutions to the Einstein--Maxwell equations that are left-invariant on 4-dimensional Lie algebras, providing a comprehensive understanding of such solutions.
Contribution
It offers a complete classification of non-Einstein solutions on 4D Lie algebras, expanding the understanding of Einstein--Maxwell equations in this setting.
Findings
Classification of solutions up to automorphisms
Identification of all non-Einstein solutions on 4D Lie algebras
Enhanced understanding of Einstein--Maxwell equations in Lie algebra contexts
Abstract
We classify up to automorphisms all left-invariant non-Einstein solutions to the Einstein--Maxwell equations on 4-dimensional Lie algebras.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Nonlinear Waves and Solitons