Kinematic Self-Similar Cylindrically Symmetric Solutions
General Relativity and Quantum Cosmology
2009-11-11 v1
Abstract
This paper is devoted to find out cylindrically symmetric kinematic self-similar perfect fluid and dust solutions. We study the cylindrically symmetric solutions which admit kinematic self-similar vectors of second, zeroth and infinite kinds, not only for the tilted fluid case but also for the parallel and orthogonal cases. It is found that the parallel case gives contradiction both in perfect fluid and dust cases. The orthogonal perfect fluid case yields a vacuum solution while the orthogonal dust case gives contradiction. It is worth mentioning that the tilted case provides solution both for the perfect as well as dust cases.
Cite
@article{arxiv.gr-qc/0504103,
title = {Kinematic Self-Similar Cylindrically Symmetric Solutions},
author = {M. Sharif and Sehar Aziz},
journal= {arXiv preprint arXiv:gr-qc/0504103},
year = {2009}
}
Comments
22 pages, accepted for publication in Int. J. of Mod. Phys. D