Oscillations toward the Singularity of Locally Rotationally Symmetric Bianchi Type IX Cosmological Models with Vlasov Matter

DOI10.1137/100782590zbMath1206.83111arXiv1011.3982OpenAlexW2007950705MaRDI QIDQ3062545

J. Mark Heinzle, Simone Calogero

Publication date: 28 December 2010

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3982

zbMATH Keywords

dynamical systemscosmologyoscillationsEinstein-Vlasov system

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (8)

Bianchi cosmologies with anisotropic matter: locally rotationally symmetric models ⋮ Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI\(_0\) ⋮ The fractional kinetic Einstein-Vlasov system and its implications in Bianchi spacetimes geometry ⋮ Kantowski–Sachs cosmology with Vlasov matter ⋮ Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter ⋮ Dynamics of locally rotationally symmetric Bianchi type VIII cosmologies with anisotropic matter ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Proof of the cosmic no-hair conjecture in the \(\mathbb{T}^3\)-Gowdy symmetric Einstein-Vlasov setting

This page was built for publication: Oscillations toward the Singularity of Locally Rotationally Symmetric Bianchi Type IX Cosmological Models with Vlasov Matter