The Einstein-Vlasov system
arXiv:gr-qc/0208082
Abstract
Rigorous results on solutions of the Einstein-Vlasov system are surveyed. After an introduction to this system of equations and the reasons for studying it, a general discussion of various classes of solutions is given. The emphasis is on presenting important conceptual ideas, while avoiding entering into technical details. Topics covered include spatially homogenous models, static solutions, spherically symmetric collapse and isotropic singularities.
Lecture notes from Cargese workshop
References in corpus (11)
- Global Properties of Locally Spatially Homogeneous Cosmological Models with Matter
- Curvature blow up in Bianchi VIII and IX vacuum spacetimes
- Cosmological models and centre manifold theory
- Theorems on existence and global dynamics for the Einstein equations
- On the Einstein-Vlasov system with hyperbolic symmetry
- Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics
- Isotropic cosmological singularities 3: The Cauchy problem for the inhomogeneous conformal Einstein-Vlasov equations
- Critical collapse of collisionless matter - a numerical investigation
- Critical phenomena at the threshold of black hole formation for collisionless matter in spherical symmetry
- Strong cosmic censorship in vacuum space--times with compact, locally homogeneous Cauchy surfaces
- Stability of spherically symmetric steady states in galactic dynamics against general perturbations