Kinematic self-similar locally rotationally symmetric models
General Relativity and Quantum Cosmology
2016-08-31 v2
Abstract
A brief summary of results on kinematic self-similarities in general relativity is given. Attention is focussed on locally rotationally symmetric models admitting kinematic self-similar vectors. Coordinate expressions for the metric and the kinematic self-similar vector are provided. Einstein's field equations for perfect fluid models are investigated and all the homothetic perfect fluid solutions admitting a maximal four-parameter group of isometries are given.
Keywords
Cite
@article{arxiv.gr-qc/9708019,
title = {Kinematic self-similar locally rotationally symmetric models},
author = {A. M. Sintes},
journal= {arXiv preprint arXiv:gr-qc/9708019},
year = {2016}
}
Comments
12 pages, LaTeX, final version, to appear in Class. Quantum Grav