Lie groups of conformal motions acting on null orbits
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
Space-times admitting a 3-dimensional Lie group of conformal motions acting on null orbits are studied. Coordinate expressions for the metric and the conformal Killing vectors (CKV) are provided (irrespectively of the matter content) and then all possible perfect fluid solutions are found, although none of these verify the weak and dominant energy conditions over the whole space-time manifold.
Keywords
Cite
@article{arxiv.gr-qc/9708020,
title = {Lie groups of conformal motions acting on null orbits},
author = {A. M. Sintes and A. A. Coley and J. Carot},
journal= {arXiv preprint arXiv:gr-qc/9708020},
year = {2015}
}
Comments
5 pages, Latex