Similarity solutions of the Einstein and Einstein-Maxwell equations

Details Similarity solutions of the Einstein and Einstein-Maxwell equations Similarity solutions of the Einstein and Einstein-Maxwell equations

Apr 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jpha...13l..81f&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 13, Apr. 1980, p. L81-L84.

Physics

3

Cylindrical Waves, Einstein Equations, Gravitational Waves, Maxwell Equation, Similarity Theorem, Partial Differential Equations, Relativity, Wave Equations

Scientific paper

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 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.

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