Plane torsion waves in quadratic gravitational theories in Riemann-Cartan space
O V Babourova; B N Frolov; E A Klimova; O V Babourova; Department of Mathematics, Moscow State Pedagogical University, Krasnoprudnaya 14, Moscow 107140, Russian Federation; B N Frolov; Department of Mathematics, Moscow State Pedagogical University, Krasnoprudnaya 14, Moscow 107140, Russian Federation; E A Klimova; Department of Mathematics, Moscow State Pedagogical University, Krasnoprudnaya 14, Moscow 107140, Russian Federation
Журнал:
Classical and Quantum Gravity
Дата:
1999-04-01
Аннотация:
The definition of the Riemann-Cartan space of 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 master formula for the 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.
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