Geodesics for impulsive gravitational waves and the multiplication of distributions

被引：42
|
作者：
Balasin, H
机构：
[1] Inst. für Theoretische Physik, Technische Universität Wien, A-1040 Vienna
来源：
CLASSICAL AND QUANTUM GRAVITY | 1997年 / 14卷 / 02期
关键词：
D O I：
10.1088/0264-9381/14/2/018
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We consider particle trajectories in the gravitational field of an impulsive pp-wave. Due to the distributional character of the wave profiles, one inevitably encounters an ambiguous point value theta(0). We show that this ambiguity may be resolved by imposing covariant constancy of the square of the tangent. Our result is consistent with Colombeau's multiplication of distributions.
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页码：455 / 462
页数：8
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