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Osetrin, E. K.; Osetrin, K. E.; Filippov, A. E.

Plane gravitational waves in spatially-homogeneous models of type-(3.1) Stäckel spaces. (English. Russian original) Zbl 1431.83022

Russ. Phys. J. 62, No. 2, 292-301 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 62, No. 2, 96-102 (2019).
Summary: A classification is performed of the spaces with plane-wave metrics in accordance with the presence of three-dimensional subgroups of the group of space-time motion with three-dimensional spatial orbits. In order to obtain spatially-homogeneous models, exact solutions to Einstein’s vacuum equations are found. To obtain these solutions, the Petrov and Bianchi classifications are performed. The results obtained on the classification of the plane-wave metrics using the assumed or three-dimensional subgroups of the group of motion with three-dimensional spatial orbits can be used for any metric gravitational theories.

Cited in 3 Documents

MSC:

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
53B50 Applications of local differential geometry to the sciences
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
83C35 Gravitational waves

Keywords:

gravitational theory; exact solution; isometry group; homogeneous spaces; gravitational waves; Petrov classification; Bianchi classification
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References:

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