On the stability of self-gravitating accreting flows
General Relativity and Quantum Cosmology
2008-12-30 v1
Abstract
Analytic methods show stability of the stationary accretion of test fluids but they are inconclusive in the case of self-gravitating stationary flows. We investigate numerically stability of those stationary flows onto compact objects that are transonic and rich in gas. In all studied examples solutions appear stable. Numerical investigation suggests also that the analogy between sonic and event horizons holds for small perturbations of compact support but fails in the case of finite perturbations.
Keywords
Cite
@article{arxiv.0812.1762,
title = {On the stability of self-gravitating accreting flows},
author = {Patryk Mach and Edward Malec},
journal= {arXiv preprint arXiv:0812.1762},
year = {2008}
}
Comments
10 pages, accepted for publication in PRD