On the geometry of impulsive gravitational waves

Details On the geometry of impulsive gravitational waves On the geometry of impulsive gravitational waves

1998-09-17

arxiv.org/abs/gr-qc/9809054v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

final form, references added, typos fixed, appears in Proceedings of the 8-th National Conference on GRG, Bistritza, June 1998

Scientific paper

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.

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