On Waylen's regular axisymmetric similarity solutions
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
We review the similarity solutions proposed by Waylen for a regular time-dependent axisymmetric vacuum space-time, and show that the key equation introduced to solve the invariant surface conditions is related by a Baecklund transform to a restriction on the similarity variables. We further show that the vacuum space-times produced via this path automatically possess a (possibly homothetic) Killing vector, which may be time-like.
Keywords
Cite
@article{arxiv.gr-qc/9809082,
title = {On Waylen's regular axisymmetric similarity solutions},
author = {Edward D. Fackerell and David Hartley},
journal= {arXiv preprint arXiv:gr-qc/9809082},
year = {2015}
}
Comments
8 pages, LaTeX2e