Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI\(_0\)

DOI10.1007/s00023-012-0201-0zbMath1266.83029arXiv1208.4231OpenAlexW2036967121MaRDI QIDQ1949815

Ernesto Nungesser

Publication date: 17 May 2013

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4231

zbMATH Keywords

non-linear stabilityEinstein-Vlasov systemboostrap argument

Mathematics Subject Classification ID

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) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (7)

The nonvacuum Einstein flow on surfaces of negative curvature and nonlinear stability ⋮ Isotropization of solutions of the Einstein-Vlasov system with Bianchi V symmetry ⋮ 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 ⋮ Self-similarity breaking of cosmological solutions with collisionless matter ⋮ Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI

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