Gauge invariant Boltzmann equation and the fluid limit

Abstract

This article investigates the collisionless Boltzmann equation up to second order in the cosmological perturbations. It describes the gauge dependence of the distribution function and the construction of a gauge invariant distribution function and brightness, and then derives the gauge invariant fluid limit.

36 pages

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Cited by in corpus (30)

• xPert: Computer algebra for metric perturbation theory
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• The radiative transfer at second order: a full treatment of the Boltzmann equation with polarization
• CMB lensing and primordial non-Gaussianity
• Cosmic microwave background bispectrum on small angular scales
• The intrinsic bispectrum of the Cosmic Microwave Background [PhD thesis]
• CMB anisotropies at second order III: bispectrum from products of the first-order perturbations
• Non-Gaussianity in the Cosmic Microwave Background Anisotropies at Recombination in the Squeezed limit
• The seed magnetic field generated during recombination
• Crinkles in the last scattering surface: Non-Gaussianity from inhomogeneous recombination
• A unified view of anisotropies in the astrophysical gravitational wave background
• A Concise Introduction to Perturbation Theory in Cosmology
• Primordial magnetic fields from second-order cosmological perturbations: Tight coupling approximation
• The y-sky: diffuse spectral distortions of the cosmic microwave background
• On the non-Gaussianity from Recombination
• The intrinsic B-mode polarisation of the Cosmic Microwave Background
• Second order Boltzmann equation : gauge dependence and gauge invariance
• The radiative transfer for polarized radiation at second order in cosmological perturbations
• Perturbations of Matter Fields in the Second-order Gauge-invariant Cosmological Perturbation Theory
• More on crinkles in the last scattering surface
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• General formulation of general-relativistic higher-order gauge-invariant perturbation theory
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• Secondary isocurvature perturbations from acoustic reheating
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