Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI

DOI10.1063/1.4758930zbMath1282.83006arXiv1208.6158OpenAlexW2053081067MaRDI QIDQ2872324

Ernesto Nungesser

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.6158

zbMATH Keywords

Bianchi typesEinstein-Vlasov systemfuture non-linear stability

Mathematics Subject Classification ID

Relativistic cosmology (83F05) 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) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (10)

The nonvacuum Einstein flow on surfaces of negative curvature and nonlinear stability ⋮ On almost Ehlers–Geren–Sachs theorems ⋮ Isotropization of solutions of the Einstein-Vlasov system with Bianchi V symmetry ⋮ Kantowski–Sachs cosmology with Vlasov matter ⋮ Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry ⋮ Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter ⋮ The Spatially Homogeneous Relativistic Boltzmann Equation with a Hard Potential ⋮ Self-similarity breaking of cosmological solutions with collisionless matter ⋮ On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology ⋮ Diagonal Future of Some Non-diagonal Bianchi A Spacetimes with Matter of Vlasov Type

Cites Work

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