Gravitational collapse and the Vlasov-Poisson system

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.

in Ann. Henri Poincare, Online First, 2015

References in corpus (1)

• Global existence of classical solutions to the Vlasov-Poisson system in a three dimensional, cosmological setting

Cited by in corpus (1)

• On the Hoop conjecture and the weak cosmic censorship conjecture for the axisymmetric Einstein-Vlasov system