Analytical potential-density pairs for bars
Astrophysics of Galaxies
2010-10-28 v1
Abstract
An identity that relates multipolar solutions of the Einstein equations to Newtonian potentials of bars with linear densities proportional to Legendre polynomials is used to construct analytical potential-density pairs of infinitesimally thin bars with a given linear density profile. By means of a suitable transformation, softened bars that are free of singularities are also obtained. As an application we study the equilibrium points and stability for the motion of test particles in the gravitational field for three models of rotating bars.
Cite
@article{arxiv.1008.2424,
title = {Analytical potential-density pairs for bars},
author = {D. Vogt and P. S. Letelier},
journal= {arXiv preprint arXiv:1008.2424},
year = {2010}
}
Comments
18 pages, 8 figures, accepted for publication in MNRAS