Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant

DOI10.1063/1.4985935zbMath1376.83010arXiv1705.07009OpenAlexW2619718970MaRDI QIDQ5366983

Ernesto Nungesser, Ho Lee

Publication date: 10 October 2017

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

Full work available at URL: https://arxiv.org/abs/1705.07009

zbMATH Keywords

global existencepositive cosmological constantEinstein-Boltzmann systemisotropizelate-time behaviourIsrael particlesBianchi I solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Boltzmann equations (35Q20)

Related Items (2)

An introduction to the relativistic kinetic theory on curved spacetimes ⋮ The spatially homogeneous Boltzmann equation for massless particles in an FLRW background

Cites Work

• Unnamed Item
• Momentum regularity and stability of the relativistic Vlasov-Maxwell-Boltzmann system
• Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry
• Late-time behaviour of Israel particles in a FLRW spacetime with \(\Lambda>0\)
• The relativistic Boltzmann equation: Theory and applications
• Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time
• Isotropic cosmological singularities: other matter models
• Asymptotic behaviour of the Einstein–Vlasov system with a positive cosmological constant
• Global existence of solutions for the Einstein–Boltzmann system in a Bianchi type I spacetime for arbitrarily large initial data

This page was built for publication: Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant