Areal foliation and asymptotically velocity-term dominated behavior in T2 symmetric space-times with positive cosmological constant

DOI10.1063/1.2767534zbMath1152.81379arXivgr-qc/0701054OpenAlexW2049131016MaRDI QIDQ3544395

Adam Clausen, James A. Isenberg

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0701054

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Space-time singularities, cosmic censorship, etc. (83C75)

Related Items (5)

Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes ⋮ A de Sitter no-hair theorem for 3+1d cosmologies with isometry group forming 2-dimensional orbits ⋮ Localized big bang stability for the Einstein-scalar field equations ⋮ On the initial geometry of a vacuum cosmological spacetime ⋮ Proof of the cosmic no-hair conjecture in the \(\mathbb{T}^3\)-Gowdy symmetric Einstein-Vlasov setting

Cites Work

• On space-times with U(1)\(\times U(1)\) symmetric compact Cauchy surfaces
• Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
• Global foliations of vacuum spacetimes with \(T^2\) isometry
• Cosmic censorship for some spatially homogeneous cosmological models
• Global foliations of matter spacetimes with Gowdy symmetry
• The surface-symmetric Einstein–Vlasov system with cosmological constant
• The cosmological constant and dark energy
• Existence of CMC and Constant Areal Time Foliations inT²Symmetric Spacetimes with Vlasov Matter
• On Gowdy vacuum spacetimes
• On the area of the symmetry orbits in T ² symmetric spacetimes with Vlasov matter
• On the area of the symmetry orbits in T ² symmetric spacetimes
• Asymptotic behavior in polarized T2-symmetric vacuum space–times
• Asymptotic behaviour in polarized and half-polarized U (1) symmetric vacuum spacetimes
• Analytic description of singularities in Gowdy spacetimes
• Inextendibility of expanding cosmological models with symmetry

This page was built for publication: Areal foliation and asymptotically velocity-term dominated behavior in T2 symmetric space-times with positive cosmological constant