Perturbation theory based on the Einstein–Boltzmann system. I. Illustration of the theory for a Robertson–Walker geometry

DOI10.1063/1.530879zbMath0817.53050OpenAlexW4239554798MaRDI QIDQ4327209

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/10.1063/1.530879

zbMATH Keywords

one-parameter families of solutionstime development of linearized perturbations

Mathematics Subject Classification ID

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

Related Items (9)

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 ⋮ Theory of cosmological perturbations formulated in terms of a complete set of basic gauge-invariant quantities ⋮ 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 ⋮ Virial mass in warped DGP-inspired \(\mathcal{L}(R)\) gravity ⋮ Gauge-invariant cosmological perturbation theory for collisionless matter: Application to the Einstein-Liouville system

Cites Work

• An exact anisotropic solution of the Einstein-Liouville equations
• Anisotropic solutions of the Einstein-Boltzmann equations. II: Some exact properties of the equations
• On the linearized relativistic Boltzmann equation. II: Existence of hydrodynamics
• On the linearized relativistic Boltzmann equation. I: Existence of solutions
• Existence, uniqueness, and local stability for the Einstein-Maxwell- Boltzmann system
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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