Global foliations of matter spacetimes with Gowdy symmetry

Abstract

A global existence theorem, with respect to a geometrically defined time, is shown for Gowdy symmetric globally hyperbolic solutions of the Einstein-Vlasov system for arbitrary (in size) initial data. The spacetimes being studied contain both matter and gravitational waves.

Latex, 40 pages, submitted to CMP

References in corpus (2)

• Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry
• Existence of constant mean curvature foliations in spacetimes with two-dimensional local symmetry

Cited by in corpus (30)

• The Einstein-Vlasov System/Kinetic Theory
• The Einstein-Vlasov system/Kinetic theory
• Theorems on existence and global dynamics for the Einstein equations
• On the Einstein-Vlasov system with hyperbolic symmetry
• Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant
• On the area of the symmetry orbits in $T^2$ symmetric spacetimes with Vlasov matter
• A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on T3
• Rotating, stationary, axially symmetric spacetimes with collisionless matter
• Proof of the cosmic no-hair conjecture in the T^3-Gowdy symmetric Einstein-Vlasov setting
• The Einstein-Vlasov sytem/Kinetic theory
• Numerical Relativity and Inhomogeneous Cosmologies
• Global Prescribed Mean Curvature foliations in cosmological spacetimes with matter, Part I
• On the area of the symmetry orbits in $T^2$ symmetric spacetimes
• Local Prescribed Mean Curvature foliations in cosmological spacetimes
• Areal Foliation and AVTD Behavior in T^2 Symmetric Spacetimes with Positive Cosmological Constant
• Local and global existence theorems for the Einstein equations
• Weakly regular Einstein-Euler spacetimes with Gowdy symmetry. The global areal foliation
• On the existence of global solutions for $T^3$-Gowdy spacetimes with stringy matter
• Global Prescribed Mean Curvature foliations in cosmological spacetimes with matter, Part II
• Hunting Local Mixmaster Dynamics in Spatially Inhomogeneous Cosmologies
• The global existence problem in general relativity
• Compensated compactness and corrector stress tensor for the Einstein equations in T2 symmetry
• On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry
• Structure of solutions near the initial singularity for the surface-symmetric Einstein-Vlasov system
• On the area of the symmetry orbits of cosmological spacetimes with toroidal or hyperbolic symmetry
• On initial conditions and global existence for accelerating cosmologies from string theory
• Global properties of higher-dimensional cosmological spacetimes
• On the Cosmic No-Hair Conjecture in T2-symmetric non-linear scalar field spacetimes
• On the cylindrically symmetric Einstein-Vlasov system
• Future $T^2$ symmetry Einstein-Vlasov-Scalar field system