The regularity of geodesics in impulsive pp-waves

Article

The regularity of geodesics in impulsive pp-waves

Lecke, A.; Steinbauer, R.; Švarc, R.

Gen. Relativ. Gravit. 46, 1648 (2014)

Abstract

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 Carathéodory) are actually continuously differentiable, thereby rigorously
justifying the C1-matching procedurewhich has been used in the literature to explicitly
derive the geodesics in space-times of this form.

Keywords

Impulsive pp-waves · Geodesics · Carathéodory-solutions

Institute authors

Švarc, Robert

BibTeX

@article{UTF491,
  author        = {Lecke, A. and Steinbauer, R. and Švarc, R.},
  title         = {{The regularity of geodesics in impulsive pp-waves}},
  journal       = {Gen. Relativ. Gravit.},
  volume        = {46},
  pages         = {1648},
  year          = {2014},
  doi           = {10.1007/s10714-013-1648-0},
}