Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. II: Basic gauge-invariant variables with applications to de Sitter space-time

DOI10.1007/BF02435846zbMath0937.81048OpenAlexW2067751781MaRDI QIDQ1376505

Slawomir Piekarski, Zbigniew Banach

Publication date: 27 January 1998

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

Full work available at URL: https://doi.org/10.1007/bf02435846

zbMATH Keywords

diffeomorphism-invariant covariant field equationslinearized perturbations

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items

Equivalence classes of perturbations in cosmologies of Bianchi types I and V: Formulation ⋮ Equivalence classes of perturbations in cosmologies of Bianchi types I and V: Interpretation ⋮ Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. I: The notion of a gauge-invariant variable

Cites Work

• Gauge-invariant cosmological perturbation theory for collisionless matter: Application to the Einstein-Liouville system
• Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. I: The notion of a gauge-invariant variable
• Theory of cosmological perturbations formulated in terms of a complete set of basic gauge-invariant quantities
• Mach's Principle and a Relativistic Theory of Gravitation
• Perturbations of Friedmann-Robertson-Walker cosmological models
• Local symmetries and constraints
• The Large Scale Structure of Space-Time
• Ricci-Calculus
• General Relativity
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