On the geometry of impulsive gravitational waves
Steinbauer, Roland
arXiv, 9809054 / Harvested from arXiv
Text on arXiv
We describe impulsive gravitational pp-waves entirely in the distributional picture. Applying Colombeau's nonlinear framework of generalized functions we handle the formally ill-defined products of distributions which enter the geodesic as well as the geodesic deviation equation. Using a universal regularization procedure we explicitly derive regularization independent distributional limits. In the special case of impulsive plane waves we compare our results with the particle motion derived from the continuous form of the metric.
Publié le : 1998-09-17
Classification:  General Relativity and Quantum Cosmology,  Mathematical Physics 
@article{9809054,
     author = {Steinbauer, Roland},
     title = {On the geometry of impulsive gravitational waves},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809054}
}

Steinbauer, Roland. On the geometry of impulsive gravitational waves. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809054/