Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics
General Relativity and Quantum Cosmology
2019-05-01 v4
Abstract
We study equilibrium states in relativistic galactic dynamics which are described by solutions of the Einstein-Vlasov system for collisionless matter. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a bounded state space. Based on a dynamical systems analysis we derive new theorems that guarantee that the steady state solutions have finite radii and masses.
Cite
@article{arxiv.gr-qc/0609074,
title = {Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics},
author = {Mikael Fjällborg and J. Mark Heinzle and Claes Uggla},
journal= {arXiv preprint arXiv:gr-qc/0609074},
year = {2019}
}
Comments
25 pages, 1 figure