Chandrasekhar, Subrahmanyan ; Xanthopoulos, Basilis C.
(1987)
*On colliding waves that develop time-like singularities: a new class of solutions of the Einstein-Maxwell equation*
Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, 410
(1839).
pp. 311-336.
ISSN 1364-5021

Full text not available from this repository.

Official URL: http://rspa.royalsocietypublishing.org/content/410...

Related URL: http://dx.doi.org/10.1098/rspa.1987.0041

## Abstract

Solutions of the Einstein-Maxwell equations are found that provide generalizations of a solution discovered by Bell and Szekeres, which represents the collision of impulsive gravitational waves coupled with electromagnetic shock-waves in a conformally flat space-time. Starting with the Bell-Szekeres solution in a form more general than their original one (though equivalent to it) and applying to it a so-called Ehlers transformation, we obtain a new family of Petrov type-D space-times in which horizons form and subsequently two-dimensional time-like singularities develop. A second solution provides a generalization of the Bell-Szekeres solution in the same way as the axisymmetric distorted static black-hole solutions provide a generalization of the Schwarzschild solution. This second solution also forms a horizon but the time-like singularity that develops is three-dimensional. The mathematical theory that is developed seems specially adapted to the solution of these and related problems.

Item Type: | Article |
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Source: | Copyright of this article belongs to The Royal Society. |

ID Code: | 70284 |

Deposited On: | 16 Nov 2011 04:19 |

Last Modified: | 16 Nov 2011 04:19 |

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