Perturbation theory based on the Einstein–Boltzmann system. II. Illustration of the theory for an almost-Robertson–Walker geometry

DOI10.1063/1.530717zbMath0817.53051OpenAlexW2053754928MaRDI QIDQ4327276

Slawomir Piekarski, Zbigniew Banach

Publication date: 5 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530717

zbMATH Keywords

hydrodynamic instabilitygrowing hydrodynamic modes

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Related Items (7)

Equivalence classes of perturbations in cosmologies of Bianchi types I and V: Formulation ⋮ Relaxation-time approximation for a Boltzmann gas in Robertson-Walker universe models ⋮ Two linearization procedures for the Boltzmann equation in a \(k=0\) Robertson-Walker space-time ⋮ Gauge-invariant perfect-fluid Robertson-Walker perturbations ⋮ Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. I: The notion of a gauge-invariant variable ⋮ Unnamed Item ⋮ Gauge-invariant cosmological perturbation theory for collisionless matter: Application to the Einstein-Liouville system

Cites Work

• On the linearized relativistic Boltzmann equation. I: Existence of solutions
• On the existence of perturbed Robertson-Walker universes
• Chapman-Enskog as an application of the method for eliminating fast variables
• Existence, uniqueness, and local stability for the Einstein-Maxwell- Boltzmann system
• Two linearization procedures for the Boltzmann equation in a \(k=0\) Robertson-Walker space-time

This page was built for publication: Perturbation theory based on the Einstein–Boltzmann system. II. Illustration of the theory for an almost-Robertson–Walker geometry