Stability of AVTD behavior Within the polarized \(\mathbb{T}^2\)-symmetric vacuum spacetimes
From MaRDI portal
Publication:2145152
DOI10.1007/s00023-021-01142-0zbMath1498.83002arXiv2101.03167OpenAlexW4207085010MaRDI QIDQ2145152
Florian Beyer, Ellery Ames, Todd Andrew Oliynyk, James A. Isenberg
Publication date: 17 June 2022
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.03167
Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Foliations (differential geometric aspects) (53C12) Blow-up in context of PDEs (35B44)
Related Items
Stable Big Bang formation for Einstein’s equations: The complete sub-critical regime ⋮ Localized big bang stability for the Einstein-scalar field equations ⋮ Nonlinear wave equation in a cosmological Kaluza Klein spacetime
Uses Software
Cites Work
- Unnamed Item
- Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes
- The initial singularity of ultrastiff perfect fluid spacetimes without symmetries
- Newtonian limits of isolated cosmological systems on long time scales
- Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
- Asymptotic behaviour of the gravitational field and the nature of singularities in Gowdy spacetimes
- On space-times with U(1)\(\times U(1)\) symmetric compact Cauchy surfaces
- Fuchsian reduction. Applications to geometry, cosmology and mathematical physics
- Strong cosmic censorship in \(T^3\)-Gowdy spacetimes
- Partial differential equations. III: Nonlinear equations.
- 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
- Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems
- Cosmological Newtonian limits on large spacetime scales
- Stabilizing effect of the power law inflation on isentropic relativistic fluids
- A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
- Kasner-like behaviour for subcritical Einstein-Matter systems
- On the nature of Hawking's incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data
- Instability of spatially homogeneous solutions in the class of \(\mathbb T^2\)-symmetric solutions to Einstein's vacuum equations
- Stability within \(T^2\)-symmetric expanding spacetimes
- Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes
- Half polarized \(U(1)\) symmetric vacuum spacetimes with AVTD behavior
- Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
- Strong cosmic censorship in polarised Gowdy spacetimes
- Areal foliation and asymptotically velocity-term dominated behavior in T2 symmetric space-times with positive cosmological constant
- Self–gravitating fluid flows with Gowdy symmetry near cosmological singularities
- Asymptotic behavior in polarized T2-symmetric vacuum space–times
- Asymptotic behaviour in polarized and half-polarized U (1) symmetric vacuum spacetimes
- Fuchsian analysis of S2 $times$ S1 and S3 Gowdy spacetimes
- Analytic description of singularities in Gowdy spacetimes
- Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$
- Linear systems of wave equations on cosmological backgrounds with convergent asymptotics
- On the initial geometry of a vacuum cosmological spacetime
- Kasner-like regions near crushing singularities *
- The Fuchsian approach to global existence for hyperbolic equations
- Dynamical Systems in Cosmology
- A Method for Generating New Solutions of Einstein's Equation. II
- Quiescent cosmological singularities
