This article is cited in 6 papers

Conformally flat Lorentzian manifolds with special holonomy groups

A. S. Galaev

Masaryk University, Brno

Abstract: 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.

UDC: 514.764.214+514.764.223

MSC: Primary 53C50; Secondary 53C29, 83D05

Received: 04.02.2013

DOI: 10.4213/sm8219

 English version: Sbornik: Mathematics, 2013, 204:9, 1264–1284

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