Gravitational collapse and the Vlasov-Poisson system

Gerhard Rein, Lukas Taegert

Published 2015-09-30Version 1

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.