Annales Henri Poincaré

, Volume 17, Issue 6, pp 1415–1427 | Cite as

Gravitational Collapse and the Vlasov–Poisson System

  • Gerhard Rein
  • Lukas Taegert


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.


Black Hole Homogeneous Solution Symmetric Solution Gravitational Collapse Vlasov Equation 
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© Springer Basel 2015

Authors and Affiliations

  1. 1.Fakultät für Mathematik, Physik und InformatikUniversität BayreuthBayreuthGermany

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