KdV solitons in Einstein's vacuum field equations
Exactly Solvable and Integrable Systems
2010-03-16 v1
Abstract
We present a metric for which Einstein's field equations in vacuum generate the Kortweg-de Vries (KdV) equation and thus its -soliton solutions solve the vacuum equations. The metric of the one soliton solution has been investigated and is a non-singular, Lorentzian metric of type N in the Petrov classification.
Cite
@article{arxiv.1003.2678,
title = {KdV solitons in Einstein's vacuum field equations},
author = {Debojit Sarma and Mahadev Patgiri},
journal= {arXiv preprint arXiv:1003.2678},
year = {2010}
}
Comments
6 pages, no figures