Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant

DOI10.1063/5.0078470OpenAlexW3152424857MaRDI QIDQ5883903

Grigorios Fournodavlos

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2104.03771

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Approximation procedures, weak fields in general relativity and gravitational theory (83C25) Einstein equations (35Q76)

Related Items (3)

On the stability of relativistic perfect fluids with linear equations of state \(p=K\rho\) where \(1/3<K<1\) ⋮ Future stability of expanding spatially homogeneous FLRW solutions of the spherically symmetric Einstein–massless Vlasov system with spatial topology R3 ⋮ Introduction to the special collection: International congress on mathematical physics 2021

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The nonlinear future stability of the FLRW family of solutions to the irrotational Euler-Einstein system with a positive cosmological constant
• The nonlinear future stability of the FLRW family of solutions to the Euler-Einstein system with a positive cosmological constant
• Microlocal analysis for waves propagating in Einstein \& de Sitter spacetime
• Asymptotics of solutions of the Einstein equations with positive cosmological constant
• Proof of the cosmic no-hair conjecture in the \(\mathbb{T}^3\)-Gowdy symmetric Einstein-Vlasov setting
• Future stability of the FLRW fluid solutions in the presence of a positive cosmological constant
• The formation of shocks in 3-dimensional fluids.
• Future stability of the Einstein-non-linear scalar field system
• Strong cosmic censorship in \(T^3\)-Gowdy spacetimes
• On the existence of \(n\)-geodesically complete or future complete solutions of Einstein's field equations with smooth asymptotic structure
• Stable big bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems
• The maximal development of near-FLRW data for the Einstein-scalar field system with spatial topology \(\mathbb{S}^3\)
• The global non-linear stability of the Kerr-de Sitter family of black holes
• The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
• A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
• A conformal approach for the analysis of the non-linear stability of radiation cosmologies
• The initial boundary value problem for the Einstein equations with totally geodesic timelike boundary
• On the nature of Hawking's incompleteness for the Einstein-vacuum equations: the regime of moderately spatially anisotropic initial data
• Decay of the Weyl curvature in expanding black hole cosmologies
• Stable fixed points of the Einstein flow with positive cosmological constant
• Global results for linear waves on expanding Kerr and Schwarzschild de Sitter cosmologies
• Cosmic no-hair in spherically symmetric black hole spacetimes
• The problem of a self-gravitating scalar field with positive cosmological constant
• Global aspects of the Cauchy problem in general relativity
• Existence and stability of even-dimensional asymptotically de Sitter spaces
• Stabilizing relativistic fluids on spacetimes with non-accelerated expansion
• Manufacture of Gowdy spacetimes with spikes
• Spherical linear waves in de Sitter spacetime
• On the initial value problem for the wave equation in Friedmann–Robertson–Walker space–times
• Gravitational Waves from Isolated Systems: Surprising Consequences of a Positive Cosmological Constant
• Conformal Methods in General Relativity
• BOUNDARY CONDITIONS FOR EINSTEIN'S FIELD EQUATIONS: MATHEMATICAL AND NUMERICAL ANALYSIS
• The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological models
• Asymptotic isotropization in inhomogeneous cosmology
• Optical functions in de Sitter
• Future Global Stability for Relativistic Perfect Fluids with Linear Equations of State $p=K\rho$ where $1/3<K<1/2$
• Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates
• Linear systems of wave equations on cosmological backgrounds with convergent asymptotics
• A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature
• Asymptotics with a positive cosmological constant: I. Basic framework
• Decay of solutions of the wave equation in expanding cosmological spacetimes
• The global future stability of the FLRW solutions to the Dust-Einstein system with a positive cosmological constant
• Stable Big Bang formation for Einstein’s equations: The complete sub-critical regime

This page was built for publication: Future dynamics of FLRW for the massless-scalar field system with positive cosmological constant