Global properties of locally spatially homogeneous cosmological models with matter

DOI10.1017/S0305004100073837zbMath0851.53078arXivgr-qc/9409009MaRDI QIDQ4877633

Alan D. Rendall

Publication date: 10 November 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9409009

zbMATH Keywords

curvature singularitiesenergy momentum tensormatterspatially homogeneous cosmological models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Space-time singularities, cosmic censorship, etc. (83C75)

Related Items (18)

Global dynamics for a collisionless charged plasma in Bianchi spacetimes in Eddington-inspired-Born–Infeld gravity ⋮ Asymptotic behaviour of the relativistic Boltzmann equation in the Robertson-Walker spacetime ⋮ Global dynamics for a relativistic charged and colliding plasma in presence of a massive scalar field in Friedmann-Lemaître-Robertson-Walker spacetimes in Eddington-inspired-Born-Infeld gravity ⋮ Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI\(_0\) ⋮ Isotropization of solutions of the Einstein-Vlasov system with Bianchi V symmetry ⋮ Global solutions of the Vlasov-Poisson-Boltzmann system in a cosmological setting ⋮ Theoretical cosmology ⋮ Future attractors of Bianchi types II and V cosmologies with massless Vlasov matter ⋮ Global existence of solutions to the Einstein–Maxwell–Massive scalar field system in 3 + 1 formulation on Bianchi spacetimes ⋮ Mathematical general relativity ⋮ The nonvacuum Einstein flow on surfaces of nonnegative curvature ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ The Spatially Homogeneous Relativistic Boltzmann Equation with a Hard Potential ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology ⋮ Compact Null Hypersurfaces and Collapsing Riemannian Manifolds ⋮ Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI

Cites Work

• Unnamed Item
• The Boltzmann equation and its applications
• Cosmic censorship for some spatially homogeneous cosmological models
• Qualitative analysis of two-fluid Bianchi cosmologies
• Infinitesimally homogeneous spaces
• The Large Scale Structure of Space-Time
• General Relativity

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