Relativistic ring models
General Relativity and Quantum Cosmology
2014-01-31 v1
Abstract
Relativistic thick ring models are constructed using previously found analytical Newtonian potential-density pairs for flat rings and toroidal structures obtained from Kuzmin-Toomre family of discs. In particular, we present systems with one ring, two rings and a disc with a ring. Also, the circular velocity of a test particle and its stability when performing circular orbits are presented in all these models. In general, we find that regions of non-stability appear between the rings when they become thinner.
Keywords
Cite
@article{arxiv.1401.7884,
title = {Relativistic ring models},
author = {M. Ujevic and P. S. Letelier and D. Vogt},
journal= {arXiv preprint arXiv:1401.7884},
year = {2014}
}
Comments
13 pages, 6 figures