Global Existence for the Spherically Symmetric Einstein–Vlasov System with Outgoing Matter

DOI10.1080/03605300701454883zbMath1147.35104arXivgr-qc/0611115OpenAlexW2121894730MaRDI QIDQ3518341

Gerhard Rein, Markus Kunze, Håakan Andréasson

Publication date: 7 August 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0611115

zbMATH Keywords

global existencegeneral relativitygeodesic completenessEinstein-Vlasov system

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)

Related Items (12)

Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system ⋮ The Einstein-Vlasov system in maximal areal coordinates-local existence and continuation ⋮ Black Hole Formation from a Complete Past for the Einstein–Vlasov System ⋮ Black hole formation from a complete regular past for collisionless matter ⋮ Regularity results for the spherically symmetric Einstein-Vlasov system ⋮ The formation of black holes in spherically symmetric gravitational collapse ⋮ On the evolution problem for the Einstein-Vlasov system ⋮ A numerical stability analysis for the Einstein–Vlasov system ⋮ The Einstein-Vlasov system/kinetic theory ⋮ FORMATION OF TRAPPED SURFACES FOR THE SPHERICALLY SYMMETRIC EINSTEIN–VLASOV SYSTEM ⋮ Global stability of Minkowski space for the Einstein-Vlasov system in the harmonic gauge ⋮ A review of the mean field limits for Vlasov equations

Cites Work

• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data
• A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system

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