The radiative transfer for polarized radiation at second order in cosmological perturbations

Abstract

This article investigates the full Boltzmann equation up to second order in the cosmological perturbations. Describing the distribution of polarized radiation by using a tensor valued distribution function, the second order Boltzmann equation, including polarization, is derived without relying on the Stokes parameters.

4 pages, no figure; replaced to match published version

References in corpus (6)

• Detection of primordial non-Gaussianity (fNL) in the WMAP 3-year data at above 99.5% confidence
• Second-order Gauge Invariant Cosmological Perturbation Theory: -- Einstein equations in terms of gauge invariant variables --
• CMB Anisotropies at Second Order I
• The radiative transfer at second order: a full treatment of the Boltzmann equation with polarization
• Cosmic microwave background bispectrum on small angular scales
• Gauge invariant Boltzmann equation and the fluid limit

Cited by in corpus (22)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Hunting for Primordial Non-Gaussianity in the Cosmic Microwave Background
• The cosmic microwave background bispectrum from the non-linear evolution of the cosmological perturbations
• Non-Gaussianity and the Cosmic Microwave Background Anisotropies
• The intrinsic bispectrum of the Cosmic Microwave Background [PhD thesis]
• CMB anisotropies at second order III: bispectrum from products of the first-order perturbations
• The y-sky: diffuse spectral distortions of the cosmic microwave background
• Second order Boltzmann equation : gauge dependence and gauge invariance
• The intrinsic B-mode polarisation of the Cosmic Microwave Background
• The structure of correlation functions in single field inflation
• Geodesic "curve"-of-sight formulae for the cosmic microwave background: a unified treatment of redshift, time delay, and lensing
• A new line-of-sight approach to the non-linear Cosmic Microwave Background
• Radiative transport of relativistic species in cosmology
• Tetrad formalism for exact cosmological observables
• Primordial magnetic fields generated by the non-adiabatic fluctuations at pre-recombination era
• The Music of the Aetherwave - B-mode Polarization in Einstein-Aether Theory
• CMB spectral distortions as solutions to the Boltzmann equations
• Testing gravity with non-Gaussianity
• Unified approach to secondary effects on the CMB B-mode polarization
• On non-linear CMB temperature anisotropy from gravitational perturbations
• Relativistic second-order initial conditions for simulations of large-scale structure
• The parity-odd Intrinsic Bispectrum