Plane torsion waves in quadratic gravitational theories

The definition of the Riemann-Cartan space of the plane wave type is given. The condition under which the torsion plane waves exist is found. It is expressed in the form of the restriction imposed on the coupling constants of the 10-parametric quadratic gravitational Lagrangian. In the mathematical...

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Bibliographic Details
Published in:arXiv.org 1998-05
Main Authors: Babourova, O V, Frolov, B N, Klimova, E A
Format: Article
Language:English
Subjects:
Cartan space
Commutators
Differential equations
Gravitation theory
Gravitational fields
Mathematical analysis
Operators (mathematics)
Plane waves
Torsion
Online Access:Get full text
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Summary:The definition of the Riemann-Cartan space of the plane wave type is given. The condition under which the torsion plane waves exist is found. It is expressed in the form of the restriction imposed on the coupling constants of the 10-parametric quadratic gravitational Lagrangian. In the mathematical appendix the formula for commutator of the variation operator and Hodge operator is proved. This formula is applied for the variational procedure when the gravitational field equations are obtained in terms of the exterior differential forms.
ISSN:2331-8422
DOI:10.48550/arxiv.9805005