Examples of Einstein spacetimes with recurrent null vector fields

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Authors	GALAEV Anton
Year of publication	2011
Type	Article in Periodical
Magazine / Source	Classical and Quantum Gravity
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Einstein equation; exact solution; special holonomy
Description	The Einstein equation on four-dimensional Lorentzian manifolds admitting recurrent null vector fields is discussed. Several examples of a special form are constructed. The holonomy algebras, Petrov types and the Lie algebras of Killing vector fields of the obtained metrics are found.
Related projects:	Algebraické metody v geometrii s potenciálem k aplikacím