Geodesic
Einstein--Maxwell equation on four-dimensional homogeneous spaces
Lobachevskii journal of mathematics, Tome 8 (2001), pp. 33-165.

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This paper presents the solutions of the Einstein–Maxwell equation on all local four-dimensional pseudo-Riemannian homogeneous spaces and the complete local classification of four-dimensional Einstein–Maxwell homogeneous spaces with an invariant pseudo-Riemannian metric of arbitrary signature. 
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     author = {B. B. Komrakov},
     title = {Einstein--Maxwell equation on four-dimensional homogeneous spaces},
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     url = {http://geodesic.mathdoc.fr/item/LJM_2001_8_a2/}
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B. B. Komrakov. Einstein--Maxwell equation on four-dimensional homogeneous spaces. Lobachevskii journal of mathematics, Tome 8 (2001), pp. 33-165. http://geodesic.mathdoc.fr/item/LJM_2001_8_a2/