Curvature blow up in Bianchi VIII and IX vacuum spacetimes

DOI10.1088/0264-9381/17/4/301zbMath0964.83007arXivgr-qc/9911115OpenAlexW2034060744MaRDI QIDQ4499336

Hans Ringström

Publication date: 30 August 2000

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9911115

zbMATH Keywords

Einstein's equationsincomplete causal geodesicsKretschmann scalarmaximal globally hyperbolic developmentBianchi IX vacuumBianchi VIII vacuum

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (22)

Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems ⋮ Mathematical general relativity: A sampler ⋮ Oscillatory singularities in Bianchi models with magnetic fields ⋮ On curvature decay in expanding cosmological models ⋮ Recent developments concerning generic spacelike singularities ⋮ Chaotic dynamics of spatially homogeneous spacetimes ⋮ Strong cosmic censorship in orthogonal Bianchi class B perfect fluids and vacuum models ⋮ REFLECTIONS ON THE HYPERBOLIC PLANE ⋮ Theoretical cosmology ⋮ 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 ⋮ Local and global existence theorems for the Einstein equations ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ SPACETIME SINGULARITIES: RECENT DEVELOPMENTS ⋮ Construction of Oscillatory Singularities ⋮ Cosmological models and centre manifold theory ⋮ About the Cauchy problem in Stelle's quadratic gravity ⋮ Diophantine approximation as cosmic censor for Kerr-AdS black holes

This page was built for publication: Curvature blow up in Bianchi VIII and IX vacuum spacetimes