Gravitational waves with distinct wavefronts
摘要
Exact solutions of Einstein's vacuum equations are considered which describe gravitational waves with distinct wavefronts. A family of such solutions presented recently in which the wavefronts have various geometries and which propagate into a number of physically significant backgrounds is here related to an integral representation which is a generalisation of the Rosen pulse solution for cylindrical waves. A nondiagonal solution is also constructed which is a generalisation of the Rosen pulse, being a cylindrical pulse wave with two states of polarization propagating into a Minkowski background. The solution is given in a complete and explicit form. A further generalisation to include electromagnetic waves with a distinct wavefront of the same type is also discussed.
引用
@article{arxiv.gr-qc/9707049,
title = {Gravitational waves with distinct wavefronts},
author = {G A Alekseev and J B Griffiths},
journal= {arXiv preprint arXiv:gr-qc/9707049},
year = {2008}
}
备注
14 pages, Plain TeX, no figures. To appear in Classical and Quantum Gravity