A five‐parameter family of solutions is investigated, describing the collision of plane‐fronted impulsive gravitational and shock electromagnetic waves. In the interaction region, to the future of the collision, it is a locally known solution of the Einstein–Maxwell electrovacuum equations of Petrov type D. The collision results in the formation of a Cauchy horizon. Extensions of the space‐time are constructed beyond the Cauchy horizon and beyond certain two‐dimensional surfaces that are mere coordinate singularities. It is found that in the extended space‐time the following may occur: (i) no curvature singularities, (ii) two‐dimensional spacelike curvature singularities, and (iii) two‐dimensional timelike curvature singularities, according to the ranges of the parameters of the solution.
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January 1989
Research Article|
January 01 1989
Collisions of gravitational and electromagnetic waves that do not develop curvature singularities
Taxiarchis Papacostas;
Taxiarchis Papacostas
Department of Physics, University of Crete, Iraklion, Greece and Department of Mathematics, University of the Aegean, Karlovassi, Samos, Greece
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Basilis C. Xanthopoulos
Basilis C. Xanthopoulos
Department of Physics, University of Crete and Research Center of Crete, Iraklion, Greece
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J. Math. Phys. 30, 97–103 (1989)
Article history
Received:
May 31 1988
Accepted:
August 31 1988
Citation
Taxiarchis Papacostas, Basilis C. Xanthopoulos; Collisions of gravitational and electromagnetic waves that do not develop curvature singularities. J. Math. Phys. 1 January 1989; 30 (1): 97–103. https://doi.org/10.1063/1.528615
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