Regular Type III and Type N Approximate Solutions
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
New type III and type N approximate solutions which are regular in the linear approximation are shown to exist. For that, we use complex transformations on self-dual Robinson-Trautman metrics rather then the classical approach. The regularity criterion is the boundedness and vanishing at infinity of a scalar obtained by saturating the Bel-Robinson tensor of the first approximation by a time-like vector which is constant with respect to the zeroth approximation.
Keywords
Cite
@article{arxiv.gr-qc/0105064,
title = {Regular Type III and Type N Approximate Solutions},
author = {Philip Downes and Paul MacAllevey and Bogdan Nita and Ivor Robinson},
journal= {arXiv preprint arXiv:gr-qc/0105064},
year = {2007}
}
Comments
6 pages, no figures