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Published April 1980 | Published
Journal Article Open

Similarity solutions of the Einstein and Einstein-Maxwell equations


Exact solutions of the equations governing vacuum cylindrical gravitational wave spacetimes and colliding plane electromagnetic and plane gravitational wave spacetimes are presented. Both solutions are found by using the geometric technique of Harrison and Estabrook (1971) to find appropriate similarity variables to reduce partial differential equations to ordinary differential equations. One of the solutions is transformed into a solution of the Ernst equations.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 1980. Received 10 January 1980. Print publication: Issue 4 (1 April 1980). The author appreciates very helpful discussions with Dr. Frank B Estabrook.

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