FORMATION OF TRAPPED SURFACES FOR THE SPHERICALLY SYMMETRIC EINSTEIN–VLASOV SYSTEM

DOI10.1142/S0219891610002268zbMath1213.35393arXiv0910.1254MaRDI QIDQ3067125

Gerhard Rein, Håakan Andréasson

Publication date: 20 January 2011

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.1254

zbMATH Keywords

trapped surfacesEinstein-Vlasov systemweak cosmic censorship

Mathematics Subject Classification ID

Black holes (83C57) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Einstein equations (35Q76) Vlasov equations (35Q83) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (11)

The Einstein-Vlasov system in maximal areal coordinates-local existence and continuation ⋮ Trapped surface formation for spherically symmetric Einstein-Maxwell-charged scalar field system with double null foliation ⋮ Regularity results for the spherically symmetric Einstein-Vlasov system ⋮ On the small redshift limit of steady states of the spherically symmetric Einstein–Vlasov system and their stability ⋮ The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation ⋮ The formation of trapped surfaces in the gravitational collapse of spherically symmetric scalar fields with a positive cosmological constant ⋮ A numerical stability analysis for the Einstein–Vlasov system ⋮ On gravitational collapse and cosmic censorship for collisionless matter ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Strong Cosmic Censorship for Surface-Symmetric Cosmological Spacetimes with Collisionless Matter ⋮ Existence of Static Solutions of the Einstein--Vlasov--Maxwell System and the Thin Shell Limit

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
• The Newtonian limit of the spherically symmetric Vlasov-Einstein system
• The instability of naked singularities in the gravitational collapse of a scalar field.
• The Newtonian limit for asymptotically flat solutions of the Vlasov- Einstein system
• Examples of naked singularity formation in the gravitational collapse of a scalar field
• A regularity theorem for solutions of the spherically symmetric Vlasov- Einstein system
• An extension principle for the Einstein-Vlasov system in spherical symmetry
• On static shells and the Buchdahl inequality for the spherically symmetric Einstein-Vlasov system
• The formation of black holes and singularities in spherically symmetric gravitational collapse
• Global Existence for the Spherically Symmetric Einstein–Vlasov System with Outgoing Matter
• The asymptotic behaviour in Schwarzschild time of Vlasov matter in spherically symmetric gravitational collapse
• Static solutions of the spherically symmetric Vlasov–Einstein system
• Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics
• Gravitational collapse and the formation of black holes for the spherically symmetric Einstein-Vlasov system
• Spherically symmetric spacetimes with a trapped surface
• General Relativity

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