Areal Foliation and AVTD Behavior in T^2 Symmetric Spacetimes with Positive Cosmological Constant

Abstract

We prove a global foliation result, using areal time, for T^2 symmetric spacetimes with a positive cosmological constant. We then find a class of solutions that exhibit AVTD behavior near the singularity.

15 pages, 0 figures, 2 references added

References in corpus (3)

• Analytic description of singularities in Gowdy spacetimes
• Asymptotic Behavior in Polarized {\bf T}${}^2$-symmetric Vacuum Spacetimes
• Strong cosmic censorship for T^2-symmetric cosmological spacetimes with collisionless matter

Cited by in corpus (7)

• Asymptotics and singularities in cosmological models with positive cosmological constant
• Localized big bang stability for the Einstein-scalar field equations
• On the area of the symmetry orbits of cosmological spacetimes with toroidal or hyperbolic symmetry
• On the initial geometry of a vacuum cosmological spacetime
• Stability of AVTD Behavior within the Polarized $T^2$-symmetric vacuum spacetimes
• On the Cosmic No-Hair Conjecture in T2-symmetric non-linear scalar field spacetimes
• Stability of Asymptotic Behavior Within Polarised $T^2$-Symmetric Vacuum Solutions with Cosmological Constant