Gravitational collapse and the Vlasov-Poisson system
Mathematical Physics
2015-10-01 v1 Analysis of PDEs
math.MP
Abstract
A self-gravitating homogeneous ball of a fluid with pressure zero where the fluid particles are initially at rest collapses to a point in finite time. We prove that this gravitational collapse can be approximated arbitrarily closely by suitable solutions of the Vlasov-Poisson system which are known to exist globally in time.
Keywords
Cite
@article{arxiv.1509.09154,
title = {Gravitational collapse and the Vlasov-Poisson system},
author = {Gerhard Rein and Lukas Taegert},
journal= {arXiv preprint arXiv:1509.09154},
year = {2015}
}
Comments
in Ann. Henri Poincare, Online First, 2015