Localized big bang stability for the Einstein-scalar field equations (Q6181301)

scientific article; zbMATH DE number 7782712

Language	Label	Description	Also known as
English	Localized big bang stability for the Einstein-scalar field equations	scientific article; zbMATH DE number 7782712

Statements

instance of

scholarly article

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title

Localized big bang stability for the Einstein-scalar field equations (English)

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Archive for Rational Mechanics and Analysis

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publication date

2 January 2024

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full work available at URL

https://arxiv.org/abs/2112.07730

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zbMATH Keywords

FRLW metric

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scalar field

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perturbation theory

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stability

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singularity

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MaRDI profile type

MaRDI publication profile

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cites work

Q5318420

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Quasilinear hyperbolic Fuchsian systems and AVTD behavior in $T ^{2}$-symmetric vacuum spacetimes

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Stability of AVTD behavior Within the polarized $\mathbb{T}^2$-symmetric vacuum spacetimes

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Quiescent cosmological singularities

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Self–gravitating fluid flows with Gowdy symmetry near cosmological singularities

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The Fuchsian approach to global existence for hyperbolic equations

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Aperiodic oscillatory asymptotic behavior for some Bianchi spacetimes

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Half polarized $U(1)$ symmetric vacuum spacetimes with AVTD behavior

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Q4520726

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Strong cosmic censorship in polarised Gowdy spacetimes

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

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Spikes and matter inhomogeneities in massless scalar field models

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Kasner-like behaviour for subcritical Einstein-Matter systems

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Groups of diffeomorphisms and the motion of an incompressible fluid

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Stabilizing relativistic fluids on spacetimes with non-accelerated expansion

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Asymptotically Kasner-like singularities

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Stable Big Bang formation for Einstein’s equations: The complete sub-critical regime

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Q4460153

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Numerical simulations of general gravitational singularities

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Asymptotic behaviour in polarized and half-polarized <i>U</i> (1) symmetric vacuum spacetimes

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Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$

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Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems

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The Large Scale Structure of Space-Time

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The initial singularity of ultrastiff perfect fluid spacetimes without symmetries

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Asymptotic behavior in polarized T2-symmetric vacuum space–times

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Asymptotic behaviour of the gravitational field and the nature of singularities in Gowdy spacetimes

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The Cauchy problem for quasi-linear symmetric hyperbolic systems

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Analytic description of singularities in Gowdy spacetimes

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Q3415742

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Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry

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Ancient dynamics in Bianchi models: approach to periodic cycles

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Q3849734

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New explicit spike solutions—non-local component of the generalized Mixmaster attractor

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Future stability of the FLRW spacetime for a large class of perfect fluids

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On the stability of relativistic perfect fluids with linear equations of state $p=K\rho$ where $1/3<K<1$

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Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant

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A Fuchsian viewpoint on the weak null condition

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Q3312869

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Manufacture of Gowdy spacetimes with spikes

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The Bianchi IX attractor

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Strong cosmic censorship in $T^3$-Gowdy spacetimes

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A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation

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On the nature of Hawking's incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data

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The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology $\mathbb{S}^3$

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Fuchsian analysis of S2 $times$ S1 and S3 Gowdy spacetimes

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Partial differential equations. 3: Nonlinear equations

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General Relativity

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Stabilizing effect of the power law inflation on isentropic relativistic fluids

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Identifiers

arXiv ID

2112.07730

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DOI

10.1007/s00205-023-01939-9

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6181301