Isotropic cosmological singularities. II: The Einstein-Vlasov system

DOI10.1006/aphy.1999.5947zbMath1003.83028arXivgr-qc/9903009OpenAlexW3104345348MaRDI QIDQ1808044

K. Anguige, K. Paul Tod

Publication date: 30 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9903009

zbMATH Keywords

Cauchy problemBianchi modelsconformal Einstein equationsEinstein-Vlasov equationsisotropic singularitiesmassless gas

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

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On the Weyl curvature hypothesis ⋮ Conformal cyclic cosmology, gravitational entropy and quantum information ⋮ Singularity crossing, transformation of matter properties and the problem of parametrization in field theories ⋮ The massless Einstein–Boltzmann system with a conformal gauge singularity in an FLRW background ⋮ An extension theorem for conformal gauge singularities ⋮ A conformal extension theorem based on null conformal geodesics ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ Local and global existence theorems for the Einstein equations ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Theorems on existence and global dynamics for the Einstein equations ⋮ The Vlasov limit for a system of particles which interact with a wave field ⋮ The conformal Einstein field equations with massless Vlasov matter ⋮ On the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmology ⋮ Isotropic cosmological singularities. III: The Cauchy problem for the inhomogeneous conformal Einstein-Vlasov equations ⋮ A NOTE ON THE COLLAPSE OF SMALL DATA SELF-GRAVITATING MASSLESS COLLISIONLESS MATTER ⋮ The geometry of black hole singularities ⋮ The spatially homogeneous Boltzmann equation for massless particles in an FLRW background ⋮ The equations of conformal cyclic cosmology

Cites Work

• Unnamed Item
• On the existence of global solutions of nonlinear wave equations
• Cosmic censorship for some spatially homogeneous cosmological models
• Isotropic cosmological singularities. I: Polytropic perfect fluid spacetimes
• Partial differential equations. 1: Basic theory
• Existence and properties of spherically symmetric static fluid bodies with a given equation of state
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• Morse Theory. (AM-51)
• General Relativity

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