On the local structure of Lorentzian Einstein manifolds with parallel distribution of null lines

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Authors

GALAEV Anton LEISTNER Thomas

Year of publication 2010
Type Article in Periodical
Magazine / Source Classical and Quantum Gravity
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Lorentzian manifold; Walker metrci; Einstein equation; holonomy
Description We study transformations of coordinates on a Lorentzian Einstein manifold with a parallel distribution of null lines and show that the generalWalker coordinates can be simplified. In these coordinates, the full Lorentzian Einstein equation is reduced to equations on a family of Einstein Riemannian metrics.
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