Global dynamics of the mixmaster model

DOI10.1088/0264-9381/14/8/028zbMath0880.58036arXivgr-qc/9703036OpenAlexW2047433357MaRDI QIDQ4354817

Alan D. Rendall

Publication date: 8 February 1998

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9703036

zbMATH Keywords

singularitymixmaster modelclass \(A\)vacuum Bianchi models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of global analysis to the sciences (58Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

Related Items (19)

Mathematical general relativity: A sampler ⋮ Recent developments concerning generic spacelike singularities ⋮ Chaotic dynamics of spatially homogeneous spacetimes ⋮ CLASSICAL AND QUANTUM FEATURES OF THE MIXMASTER SINGULARITY ⋮ Bianchi \(A\) cosmological models as the simplest dynamical systems in \({\mathbb{R}}^4\) ⋮ Mathematical general relativity ⋮ The asymptotic regimes of tilted Bianchi II cosmologies ⋮ Numerical approaches to spacetime singularities ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ The Einstein-Vlasov system/kinetic theory ⋮ The similarity hypothesis in general relativity ⋮ BRANE-WORLD COSMOLOGY ⋮ Local and global existence theorems for the Einstein equations ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ Numerical approaches to spacetime singularities ⋮ Asymptotic behavior in polarized T2-symmetric vacuum space–times ⋮ SPACETIME SINGULARITIES: RECENT DEVELOPMENTS ⋮ Asymptotic self-similarity breaking in cosmology ⋮ Cosmological models and centre manifold theory

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