Construction of Oscillatory Singularities

DOI10.1007/978-3-642-40157-2_7zbMath1308.83119arXiv1212.5418OpenAlexW1565229513MaRDI QIDQ5244721

Alan D. Rendall

Publication date: 30 March 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5418

zbMATH Keywords

Schwarzschild solutionoscillatory singularitiesBKL picture

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

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• Kasner-like behaviour for subcritical Einstein-Matter systems
• Aperiodic oscillatory asymptotic behavior for some Bianchi spacetimes
• Asymptotic states of magnetic Bianchi I cosmologies
• Asymptotic expansions close to the singularity in Gowdy spacetimes
• Curvature blow up in Bianchi VIII and IX vacuum spacetimes
• Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity
• Bianchi II magnetic cosmologies
• A dynamical systems approach to Bianchi cosmologies: orthogonal models of class A
• Asymptotic states of magnetic Bianchi VI cosmologies
• Analytic description of singularities in Gowdy spacetimes
• Dynamics of magnetic Bianchi VI ₀ cosmologies
• Mixmaster Universe
• The Large Scale Structure of Space-Time
• Quiescent cosmological singularities
• The Bianchi IX attractor

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