The regularity of geodesics in impulsive pp-waves

被引：12

作者：

Lecke, Alexander ^{[1
]}

Steinbauer, Roland ^{[1
]}

Svarc, Robert ^{[2
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

[2] Charles Univ Prague, Fac Math & Phys, Inst Theoret Phys, CR-18000 Prague 8, Czech Republic

来源：

GENERAL RELATIVITY AND GRAVITATION | 2014年 / 46卷 / 01期

基金：

奥地利科学基金会;

关键词：

Impulsive pp-waves; Geodesics; Caratheodory-solutions; GRAVITATIONAL-WAVES; SPACETIMES; DEVIATION;

D O I：

10.1007/s10714-013-1648-0

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the geodesic equation in impulsive pp-wave space-times in Rosen form, where the metric is of Lipschitz regularity. We prove that the geodesics (in the sense of Caratheodory) are actually continuously differentiable, thereby rigorously justifying the C-1-matching procedure which has been used in the literature to explicitly derive the geodesics in space-times of this form.

引用

页码：1 / 8

页数：8

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