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Annales Henri Poincaré

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

Gravitational Collapse and the Vlasov–Poisson System

  • Gerhard Rein
  • Lukas Taegert
Article

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

Black Hole Homogeneous Solution Symmetric Solution Gravitational Collapse Vlasov Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2015

Authors and Affiliations

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

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