Black hole formation from a complete regular past for collisionless matter

Abstract

Initial data for the spherically symmetric Einstein-Vlasov system is constructed whose past evolution is regular and whose future evolution contains a black hole. This is the first example of initial data with these properties for the Einstein-matter system with a "realistic" matter model. One consequence of the result is that there exists a class of initial data for which the ratio of the Hawking mass $\open{m}=\open{m}(r)$ and the area radius $r$ is arbitrarily small everywhere, such that a black hole forms in the evolution. This result is in a sense analogous to the result for a scalar field. Another consequence is that there exist black hole initial data such that the solutions exist for all Schwarzschild time $t\in (-\infty ,\infty )$.

30 pages. Revised version to appear in Annales Henri Poincaré

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Cited by in corpus (9)

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• On the Hoop conjecture and the weak cosmic censorship conjecture for the axisymmetric Einstein-Vlasov system
• Dynamics of gravitational collapse in the axisymmetric Einstein-Vlasov system
• Spherical accretion of a collisionless kinetic gas into a generic static black hole
• Static solutions to the spherically symmetric Einstein-Vlasov system: a particle-number-Casimir approach
• EVStabilityNet: Predicting the Stability of Star Clusters in General Relativity