Geodesics in nonexpanding impulsive gravitational waves with Λ, part I

Article

Geodesics in nonexpanding impulsive gravitational waves with Λ, part I

Sämann, C., Steinbauer, R., Lecke1, A., Podolský, J.

Class. Quantum Grav. 33, 115002 (2016)

Abstract

We investigate the geodesics in the entire class of nonexpanding impulsive
gravitational waves propagating in an (anti-)de Sitter universe using the distributional
form of the metric. Employing a five-dimensional embedding
formalism and a general regularisation technique, we prove the existence and
uniqueness of the geodesics crossing the wave impulse, leading to a completeness
result. We also derive the explicit form of the geodesics, thereby
confirming previous results derived in a heuristic approach.

Keywords

impulsive gravitational waves, geodesics, low regularity

Institute authors

Podolský, Jiří

BibTeX

@article{UTF583,
  author        = {Sämann, C., Steinbauer, R.,  Lecke1, A., Podolský, J.},
  title         = {{Geodesics in nonexpanding impulsive gravitational waves with Λ, part I}},
  journal       = {Class. Quantum Grav.},
  volume        = {33},
  pages         = {115002},
  year          = {2016},
  doi           = {10.1088/0264-9381/33/11/115002},
}