Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. I: The notion of a gauge-invariant variable
From MaRDI portal
Publication:1376504
DOI10.1007/BF02435845zbMath0887.58070OpenAlexW2011008512MaRDI QIDQ1376504
Zbigniew Banach, Slawomir Piekarski
Publication date: 25 May 1998
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02435845
Relativistic cosmology (83F05) Applications of global analysis to the sciences (58Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Perturbations of PDEs on manifolds; asymptotics (58J37)
Related Items (3)
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. II: Basic gauge-invariant variables with applications to de Sitter space-time
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gauge-invariant cosmological perturbation theory for collisionless matter: Application to the Einstein-Liouville system
- Local symmetries and conservation laws
- On the existence of perturbed Robertson-Walker universes
- Spinors, gravity and recalibration invariance. Microphysical motivation for the Weyl geometry
- Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. II: Basic gauge-invariant variables with applications to de Sitter space-time
- 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
- Mach's Principle and a Relativistic Theory of Gravitation
- Local symmetries and constraints
- Perturbation theory based on the Einstein–Boltzmann system. I. Illustration of the theory for a Robertson–Walker geometry
- Perturbation theory based on the Einstein–Boltzmann system. II. Illustration of the theory for an almost-Robertson–Walker geometry
- The Large Scale Structure of Space-Time
- General Relativity
This page was built for publication: Geometrization of linear perturbation theory for diffeomorphism-invariant covariant field equations. I: The notion of a gauge-invariant variable