Family of electrovac colliding wave solutions of Einstein's equations
Beginning with any colliding wave solution of the vacuum Einstein equations, a corresponding electrified colliding wave solution can be generated through the use of a transformation due to Harrison (J. Math. Phys. 9, 1744 (1968)). The method, long employed in the context of stationary axisymmetric fields, is equally applicable to colliding wave solutions. Here it is applied to a large family of vacuum metrics derived by applying a generalized Ehlers transformation to solutions published recently by Ernst, Garcia, and Hauser (EGH) (J. Math. Phys. 28, 2155, 2951 (1987); 29, 681 (1988)). Those EGH solutions were themselves a generalization of solutions first derived by Ferrari, Ibanez, and Bruni (Phys. Rev. D 36, 1053 (1987)). Among the electrovac solutions that are obtained is a charged version of the Nutku--Halil (Phys. Rev. Lett. 39, 1379 (1977)) metric that possesses an arbitrary complex charge parameter.
- Research Organization:
- Department of Mathematics and Computer Science, Clarkson University, Potsdam, New York 13676
- OSTI ID:
- 6527366
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Vol. 30:3
- Country of Publication:
- United States
- Language:
- English
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