Plane walls interacting with gravitational waves and matter fields.

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

Plane walls with reflection symmetry are studied. A method for generating such solutions to the Einstein equations is developed. It is found that plane wall solutions require very strong restrictions on the metric coefficients and on their derivatives. Using the generalized Bianchi identities, the interaction of plane walls with gravitational waves and matter fields is investigated. In particular, it is shown that a plane wall, in general, interacts with both gravitational plane waves and matter fields.

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