Geodesic
Conformally flat Lorentzian manifolds with special holonomy groups
Sbornik. Mathematics, Tome 204 (2013) no. 9, pp. 1264-1284

Voir la notice de l'article provenant de la source Math-Net.Ru

We obtain a local classification of conformally flat Lorentzian manifolds with special holonomy groups. The corresponding local metrics are certain extensions of Riemannian spaces of constant sectional curvature to Walker metrics. Bibliography: 28 titles.
Keywords: Lorentzian manifold, special holonomy group, Walker manifold, conformally flat manifold, Nordström's gravity. 
@article{SM_2013_204_9_a1,
     author = {A. S. Galaev},
     title = {Conformally flat {Lorentzian} manifolds with special holonomy groups},
     journal = {Sbornik. Mathematics},
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     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2013_204_9_a1/}
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A. S. Galaev. Conformally flat Lorentzian manifolds with special holonomy groups. Sbornik. Mathematics, Tome 204 (2013) no. 9, pp. 1264-1284. http://geodesic.mathdoc.fr/item/SM_2013_204_9_a1/