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Similarity solutions of the Einstein and Einstein-Maxwell equations

Fischer, Elliot (1980) Similarity solutions of the Einstein and Einstein-Maxwell equations. Journal of Physics A: Mathematical and General, 13 (4). L81-L84. ISSN 0305-4470. http://resolver.caltech.edu/CaltechAUTHORS:FISjpa80

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Abstract

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.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1088/0305-4470/13/4/001DOIUNSPECIFIED
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.
Record Number:CaltechAUTHORS:FISjpa80
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FISjpa80
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11448
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:15 Aug 2008 21:11
Last Modified:26 Dec 2012 10:14

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