Application of types- N and - O spaces to examples of exact solutions of the gravitational equations

Details Application of types- N and - O spaces to examples of exact solutions of the gravitational equations Application of types- N and - O spaces to examples of exact solutions of the gravitational equations

May 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995ruphj..38..503b&link_type=abstract

Russian Physics Journal, Volume 38, Issue 5, pp.503-507

Physics

Scientific paper

Analysis of the exact solutions of the gravitational equations corresponding to the collision of two gravitational plane waves (type N) and light-like beams (type O) and also a Kerr-Schild wave metric with conformally flat background is used to formulate theorems that indicate the resulting type of spacetime if the initial gravitational fields belong to types N and O. A type- D Weyl matrix always appears, which is due to the nonlinear super-position of gravitational fields, in contrast to the superposition of weak gravitational fields, when the sum of the Weyl matrices for the initial fields corresponds to dropping nonlinear terms in both the curvature tensor and the field equations.

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