Group classification of the Sachs equations for a radiating axisymmetric, non-rotating, vacuum space-time
General Relativity and Quantum Cosmology
2009-03-19 v1
Abstract
We carry out a Lie group analysis of the Sachs equations for a time-dependent axisymmetric non-rotating space-time in which the Ricci tensor vanishes. These equations, which are the first two members of the set of Newman-Penrose equations, define the characteristic initial-value problem for the space-time. We find a particular form for the initial data such that these equations admit a Lie symmetry, and so defines a geometrically special class of such spacetimes. These should additionally be of particular physical interest because of this special geometric feature.
Keywords
Cite
@article{arxiv.gr-qc/0611109,
title = {Group classification of the Sachs equations for a radiating axisymmetric, non-rotating, vacuum space-time},
author = {Nail H. Ibragimov and Ewald J. H. Wessels and George F. R. Ellis},
journal= {arXiv preprint arXiv:gr-qc/0611109},
year = {2009}
}
Comments
18 Pages. Submitted to Classical and Quantum Gravity