Strong cosmic censorship in vacuum space--times with compact, locally homogeneous Cauchy surfaces

Abstract

We consider the question of strong cosmic censorship in spatially compact, spatially locally homogeneous vacuum models. We show in particular that strong cosmic censorship holds in Bianchi IX vacuum space--times with spherical spatial topology.

Latex, 38 pages

References in corpus (3)

• Global Properties of Locally Spatially Homogeneous Cosmological Models with Matter
• On "asymptotically flat" space-times with $G_2$-invariant Cauchy surfaces
• The Mixmaster Spacetime, Geroch's Transformation and Constants of Motion

Cited by in corpus (28)

• Curvature blow up in Bianchi VIII and IX vacuum spacetimes
• Global Foliations of Vacuum Spacetimes with $T^2$ Isometry
• Global dynamics of the mixmaster model
• On rigidity of analytic black holes
• The nature of spacetime singularities
• The time travel paradox
• No time machines in classical general relativity
• Space-time diagrammatics
• Dynamics of compact homogeneous universes
• Investigations of solutions of Einstein's field equations close to lambda-Taub-NUT
• Fuchsian methods and spacetime singularities
• An exact smooth Gowdy-symmetric generalized Taub-NUT solution
• Mathematical General Relativity
• Is general relativity `essentially understood' ?
• Asymptotics and singularities in cosmological models with positive cosmological constant
• Open problems in mathematical physics
• Compact hyperbolic universe and singularities
• The global existence problem in general relativity
• Conformal boundary extensions of Lorentzian manifolds
• A proof of the Geroch-Horowitz-Penrose formulation of the strong cosmic censor conjecture motivated by computability theory
• Recent results in mathematical relativity
• Mathematical general relativity: a sampler
• Solutions of the Einstein equations with matter
• Compact null hypersurfaces and collapsing Riemannian manifolds
• Strong Cosmic Censorship and Causality Violation
• The Einstein-Vlasov system
• Cosmic Censorship near FLRW spacetimes with negative spatial curvature
• A classification theorem for compact Cauchy horizons in vacuum spacetimes