Theory of cosmological perturbations formulated in terms of a complete set of basic gauge-invariant quantities

DOI10.1007/BF02082829zbMath0849.58083OpenAlexW1995053429WikidataQ125862986 ScholiaQ125862986MaRDI QIDQ1915378

Zbigniew Banach, Slawomir Piekarski

Publication date: 17 November 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02082829

zbMATH Keywords

perturbationgauge-invariant quantities

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of global analysis to the sciences (58Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

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Equivalence classes of perturbations in cosmologies of Bianchi types I and V: Formulation ⋮ 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 ⋮ Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. II: Basic gauge-invariant variables with applications to de Sitter space-time ⋮ Unnamed Item ⋮ Gauge-invariant cosmological perturbation theory for collisionless matter: Application to the Einstein-Liouville system

Cites Work

• On the existence of perturbed Robertson-Walker universes
• 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
• Mach's Principle and a Relativistic Theory of Gravitation
• Perturbation theory based on the Einstein–Boltzmann system. I. Illustration of the theory for a Robertson–Walker geometry
• Irreducible tensor description. I. A classical gas
• General Relativity
• Unnamed Item
• Unnamed Item