The Robinson-Trautman Type III Prolongation Structure Contains K$_2$
General Relativity and Quantum Cosmology
2012-08-27 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
The minimal prolongation structure for the Robinson-Trautman equations of Petrov type III is shown to always include the infinite-dimensional, contragredient algebra, K, which is of infinite growth. Knowledge of faithful representations of this algebra would allow the determination of B\"acklund transformations to evolve new solutions.
Keywords
Cite
@article{arxiv.gr-qc/9506016,
title = {The Robinson-Trautman Type III Prolongation Structure Contains K$_2$},
author = {J. D. Finley and III},
journal= {arXiv preprint arXiv:gr-qc/9506016},
year = {2012}
}
Comments
20 pages, plain TeX, no figures, submitted to Commun. Math. Phys