Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes
type: Item
instance of: scholarly article
title: Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes
zbMATH Open document ID: 1498.83002
author: Ellery Ames
author: F. Beyer
author: James Isenberg
author: Todd Andrew Oliynyk
published in: Annales Henri Poincaré
publication date: 2022-06-17T00:00:00Z
full work available at URL: https://arxiv.org/abs/2101.03167
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 35Q75
Mathematics Subject Classification ID: 83F05
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 7543727
describes a project that uses: xAct
describes a project that uses: xCoba
MaRDI profile type: Publication
OpenAlex ID: W4207085010
arXiv ID: 2101.03167
cites work: Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes
cites work: Quiescent cosmological singularities
cites work: Global foliations of vacuum spacetimes with \(T^2\) isometry
cites work: Stability within \(T^2\)-symmetric expanding spacetimes
cites work: Self–gravitating fluid flows with Gowdy symmetry near cosmological singularities
cites work: The Fuchsian approach to global existence for hyperbolic equations
cites work: Half polarized \(U(1)\) symmetric vacuum spacetimes with AVTD behavior
cites work: Strong cosmic censorship in polarised Gowdy spacetimes
cites work: On space-times with U(1)\(\times U(1)\) symmetric compact Cauchy surfaces
cites work: Areal foliation and asymptotically velocity-term dominated behavior in T2 symmetric space-times with positive cosmological constant
cites work: Kasner-like behaviour for subcritical Einstein-Matter systems
cites work: Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
cites work: A Method for Generating New Solutions of Einstein's Equation. II
cites work: Vacuum spacetimes with two-parameter spacelike isometry groups and compact invariant hypersurfaces: Topologies and boundary conditions
cites work: The initial singularity of ultrastiff perfect fluid spacetimes without symmetries
cites work: Asymptotic behavior in polarized T2-symmetric vacuum space–times
cites work: Asymptotic behaviour of the gravitational field and the nature of singularities in Gowdy spacetimes
cites work: Asymptotic behaviour in polarized and half-polarized U (1) symmetric vacuum spacetimes
cites work: Fuchsian reduction. Applications to geometry, cosmology and mathematical physics
cites work: Analytic description of singularities in Gowdy spacetimes
cites work: Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes
cites work: Q3849734
cites work: Cosmological Newtonian limits on large spacetime scales
cites work: Newtonian limits of isolated cosmological systems on long time scales
cites work: Kasner-like regions near crushing singularities *
cites work: On the initial geometry of a vacuum cosmological spacetime
cites work: Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
cites work: Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$
cites work: Strong cosmic censorship in \(T^3\)-Gowdy spacetimes
cites work: Instability of spatially homogeneous solutions in the class of \(\mathbb T^2\)-symmetric solutions to Einstein's vacuum equations
cites work: Linear systems of wave equations on cosmological backgrounds with convergent asymptotics
cites work: On the nature of Hawking's incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data
cites work: A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
cites work: Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems
cites work: Fuchsian analysis of S2 $times$ S1 and S3 Gowdy spacetimes
cites work: Partial differential equations. III: Nonlinear equations.
cites work: Dynamical Systems in Cosmology
cites work: Stabilizing effect of the power law inflation on isentropic relativistic fluids
DOI: 10.1007/S00023-021-01142-0
Recommended article: Half polarized \(U(1)\) symmetric vacuum spacetimes with AVTD behavior
Recommended article: Asymptotic behavior in polarized T2-symmetric vacuum space–times
Recommended article: Asymptotic behaviour in polarized and half-polarized U (1) symmetric vacuum spacetimes
Recommended article: Stability within \(T^2\)-symmetric expanding spacetimes
Recommended article: Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes
Recommended article: Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations
Recommended article: Instability of spatially homogeneous solutions in the class of \(\mathbb T^2\)-symmetric solutions to Einstein's vacuum equations
Recommended article: Stability of perturbed geodesics in \(n\)D axisymmetric spacetimes
Recommended article: Asymptotic stability of vacuum twisting type II metrics
Recommended article: A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges
description: scientific article