The inverse scattering method for cylindrical gravitational waves
广义相对论与量子宇宙学
2007-05-23 v2
摘要
The initial-value problem for cylindrical gravitational waves is studied through the development of the inverse scattering method scheme. The inverse scattering transform in this case can be viewed as a transformation of the Cauchy data to the data on the symmetry axis. Riemann-Hilbert problem, which serves as inverse transformation, is formulated in two different ways. We consider Einstein-Rosen waves to illustrate the method.
引用
@article{arxiv.gr-qc/0001024,
title = {The inverse scattering method for cylindrical gravitational waves},
author = {G. G. Varzugin},
journal= {arXiv preprint arXiv:gr-qc/0001024},
year = {2007}
}
备注
11 pages, LaTeX, no figures, discussion added, some misprints corrected