Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Phys. Lett. A 261(0), 1-2 (1999)
Exact solutions for nonexpanding impulsive waves in a background with nonzero cosmological constant are constructed using a `cut and paste' method. These solutions are presented using a unified approach which covers the cases of de Sitter, anti-de Sitter and Minkowski backgrounds. The metrics are presented in continuous and distributional forms, both of which are conformal to the corresponding metrics for impulsive pp-waves, and for which the limit as $\Lambda\to 0$ can be made explicitly.
@article{UTF152,
author = {Podolský, J and Griffiths, J. B.},
title = {{Nonexpanding impulsive gravitational waves with an arbitrary cosmological constant}},
journal = {Phys. Lett. A},
volume = {261},
number = {0},
pages = {1-2},
year = {1999},
doi = {10.1016/S0375-9601(99)00524-1},
eprint = {gr-qc/9908008},
archivePrefix = {arXiv},
url = {http://arxiv.org/PS\_cache/gr-qc/pdf/9908/9908008v1.pdf},
}