Isotropic cosmological singularities 3: The Cauchy problem for the inhomogeneous conformal Einstein-Vlasov equations

Abstract

We consider the conformal Einstein equations for massless collisionless gas cosmologies which admit an isotropic singularity. It is shown that the Cauchy problem for these equations is well-posed with data consisting of the limiting particle distribution function at the singularity.

LaTeX, 29 pages, no figures

References in corpus (2)

• Isotropic cosmological singularities 2: The Einstein-Vlasov system
• Isotropic cosmological singularities 1: Polytropic perfect fluid spacetimes

Cited by in corpus (23)

• The Einstein-Vlasov System/Kinetic Theory
• Fuchsian analysis of singularities in Gowdy spacetimes beyond analyticity
• The Einstein-Vlasov system/Kinetic theory
• Theorems on existence and global dynamics for the Einstein equations
• Dynamics of spatially homogeneous locally rotationally symmetric solutions of the Einstein-Vlasov equations
• Isotropic cosmological singularities: other matter models
• Fuchsian analysis of S^2xS^1 and S^3 Gowdy spacetimes
• The Einstein-Vlasov sytem/Kinetic theory
• Isotropic cosmological singularities in spatially-homogeneous models with a cosmological constant
• Local and global existence theorems for the Einstein equations
• The Vlasov limit and its fluctuations for a system of particles which interact by means of a wave field
• Fuchsian methods and spacetime singularities
• Encoding cosmological futures with conformal structures
• The massless Einstein-Boltzmann system with a conformal-gauge singularity in an FLRW background
• Stress and Geometry for Isotropic Singularities
• Alternative route towards the change of metric signature
• On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology
• The spatially homogeneous Boltzmann equation for massless particles in an FLRW background
• Conformal Methods in General Relativity with application to Conformal Cyclic Cosmology: A minicourse given at the IXth IMLG Warsaw 2018
• Well-posedness of anisotropic and homogeneous solutions to the Einstein-Boltzmann system with a conformal-gauge singularity
• The Einstein-Vlasov system
• Topological Early Universe Cosmology
• Homogeneous solutions to the Einstein-matter equations with a magnetic field and a conformal gauge singularity