Inextendibility of expanding cosmological models with symmetry

Abstract

A new criterion for inextendibility of expanding cosmological models with symmetry is presented. It is applied to derive a number of new results and to simplify the proofs of existing ones. In particular it shows that the solutions of the Einstein-Vlasov system with $T^2$ symmetry, including the vacuum solutions, are inextendible in the future. The technique introduced adds a qualitatively new element to the available tool-kit for studying strong cosmic censorship.

7 pages

References in corpus (3)

• The nature of spacetime singularities
• Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter
• Global existence and future asymptotic behaviour for solutions of the Einstein-Vlasov-scalar field system with surface symmetry

Cited by in corpus (7)

• The Einstein-Vlasov System/Kinetic Theory
• Strong cosmic censorship for surface-symmetric cosmological spacetimes with collisionless matter
• Mass inflation and the $C^2$-inextendibility of spherically symmetric charged scalar field dynamical black holes
• Areal Foliation and AVTD Behavior in T^2 Symmetric Spacetimes with Positive Cosmological Constant
• Strong cosmic censorship for solutions of the Einstein-Maxwell field equations with polarized Gowdy symmetry
• On the area of the symmetry orbits of cosmological spacetimes with toroidal or hyperbolic symmetry
• The global structure of spherically symmetric charged scalar field spacetimes