Impulsive waves in de Sitter and anti-de Sitter space-times generated by null particles with an arbitrary multipole structure
General Relativity and Quantum Cosmology
2009-10-30 v1
Abstract
We describe a class of impulsive gravitational waves which propagate either in a de Sitter or an anti-de Sitter background. They are conformal to impulsive waves of Kundt's class. In a background with positive cosmological constant they are spherical (but non-expanding) waves generated by pairs of particles with arbitrary multipole structure propagating in opposite directions. When the cosmological constant is negative, they are hyperboloidal waves generated by a null particle of the same type. In this case, they are included in the impulsive limit of a class of solutions described by Siklos that are conformal to pp-waves.
Keywords
Cite
@article{arxiv.gr-qc/9710049,
title = {Impulsive waves in de Sitter and anti-de Sitter space-times generated by null particles with an arbitrary multipole structure},
author = {J Podolsky and J B Griffiths},
journal= {arXiv preprint arXiv:gr-qc/9710049},
year = {2009}
}
Comments
12 pages, LaTeX, one eps figure included using graphicx, To appear in Classical and Quantum Gravity