The global uniqueness and C1-regularity of geodesics in expanding impulsive gravitational waves

Article

The global uniqueness and C1-regularity of geodesics in expanding impulsive gravitational waves

Podolský,J., Sämann, C., Steinbauer, R., Švarc, R.

Class. Quantum Grav. 33, 195010 (2016)

Abstract

We study geodesics in the complete family of expanding impulsive gravitational
waves propagating in spaces of constant curvature, that is Minkowski,
deSitter and anti-deSitter universes. Employing the continuous form of the
metric we rigorously prove existence and global uniqueness of continuously
differentiable geodesics (in the sense of Filippov) and study their interaction
with the impulsive wave. Thereby we justify the ‘C1-matching procedure’
used in the literature to derive their explicit form.

Institute authors

Švarc, Robert

Supported by

GACR 14-37086G — Albert Einstein Center for Gravitation and Astrophysics
UNCE 204020/2012 — Výzkum Země a vesmíru metodami teoretické, počítačové a experimentální fyziky

BibTeX

@article{UTF595,
  author        = {Podolský,J.,  Sämann, C.,  Steinbauer, R.,  Švarc, R.},
  title         = {{The global uniqueness and C1-regularity of geodesics in expanding impulsive gravitational waves}},
  journal       = {Class. Quantum Grav.},
  volume        = {33},
  pages         = {195010},
  year          = {2016},
  doi           = {10.1088/0264-9381/33/19/195010},
}