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Polarization of the cosmic microwave background, though not yet detected, provides a source of information about cosmological parameters complementary to temperature fluctuations. This paper provides a complete theoretical treatment of…

Astrophysics · Physics 2014-10-13 Arthur Kosowsky

We present a formalism for analyzing a full-sky temperature and polarization map of the cosmic microwave background. Temperature maps are analyzed by expanding over the set of spherical harmonics to give multipole moments of the two-point…

Astrophysics · Physics 2009-10-28 Marc Kamionkowski , Arthur Kosowsky , Albert Stebbins

We evaluate the large scale polarization of the cosmic microwave background induced, via Thomson scattering prior to decoupling, by nearly scale-invariant spectra of scalar and tensor metric perturbations, such as those predicted by most…

Astrophysics · Physics 2016-08-30 Diego Harari , Matias Zaldarriaga

The Ehlers-Ellis 1+3 formulation of covariant hydrodynamics, when supplemented with covariant radiative transport theory, gives an exact, physically transparent description of the physics of the cosmic microwave background radiation (CMB).…

Astrophysics · Physics 2015-06-24 Anthony Challinor

We revisit the classification of polarization observables of the cosmic microwave background. There exists a unified approach to the $3 \times 3$ density matrix by which intensity, linear and circular polarization are treated on an equal…

Astrophysics · Physics 2007-05-23 John P. Ralston , Pankaj Jain

We develop an analytic method and approximations to compute the polarization induced in the cosmic microwave background radiation on a wide range of angular scales by anisotropic Thomson scattering in presence of adiabatic scalar…

Astrophysics · Physics 2009-10-28 Matias Zaldarriaga , Diego D. Harari

We extend the spherical tensorial formalism for polarization to the treatment of electric- and magnetic-multipole transitions of any order. We rely on the spherical-wave expansion to derive the tensor form of the operator describing the…

Atomic Physics · Physics 2024-10-15 R. Casini , R. Manso Sainz , A. Lopez Ariste , N. Kaikati

The standard cosmological model, which includes only Compton scattering photon interactions at energy scales near recombination, results in zero primordial circular polarization of the cosmic microwave background. In this paper we consider…

Astrophysics · Physics 2009-11-13 Stephon Alexander , Joseph Ochoa , Arthur Kosowsky

The fluctuations in the temperature and polarization of the cosmic microwave background are described by a hierarchy of Boltzmann equations. In its integral form, this Boltzmann hierarchy can be converted from the usual Fourier-space base…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-02 Paulo H. F. Reimberg , L. Raul Abramo

The linearized field equations of general relativity in harmonic coordinates are given by an inhomogeneous wave equation. In the region exterior to the matter field, the retarded solution of this wave equation can be expanded in terms of 10…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Sven Zschocke

This article investigates the full Boltzmann equation up to second order in the cosmological perturbations. Describing the distribution of polarized radiation by a tensor valued distribution function, we study the gauge dependence of the…

General Relativity and Quantum Cosmology · Physics 2018-06-28 Cyril Pitrou

Microwave background polarization, though presently undetected, is a fundamental prediction of any viable cosmological model. These lectures review the theoretical description of polarization, its physical interpretation, and potentially…

Astrophysics · Physics 2011-04-15 Arthur Kosowsky

We examine the polarization signal of the cosmic microwave background radiation associated with distant clusters. The polarization is induced by the Thomson scattering of microwave photons with ionized gas of clusters and contains…

Astrophysics · Physics 2016-08-30 Naoki Seto , Misao Sasaki

The polarization plane of the cosmic microwave background radiation can be rotated either in a magnetized plasma or in the presence of a quintessential background with pseudoscalar coupling to electromagnetism. A unified treatment of these…

High Energy Physics - Phenomenology · Physics 2009-11-10 Massimo Giovannini

Non-gaussianity and B-mode polarization are particularly interesting features of the cosmic microwave background, as -- at least in the standard model of cosmology -- their only sources to first order in cosmological perturbation theory are…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 M. Beneke , C. Fidler

This is the second of a series of papers extending the 1+3 covariant and gauge invariant treatment of kinetic theory to an examination of Cosmic Microwave Background temperature anisotropies arising from inhomogeneities in the early…

Astrophysics · Physics 2008-12-01 Tim Gebbie , Peter Dunsby , George Ellis

The contribution of gravitational wave (tensor metric) and energy density (scalar metric) fluctuations to the cosmic microwave background polarization is computed by numerically solving the relativistic radiation transfer equations. We find…

Astrophysics · Physics 2009-10-22 Robert Crittenden , Richard L. Davis , Paul J. Steinhardt

A unified framework for theories of modified gravity will be an essential tool for interpreting the forthcoming deluge of cosmological data. We present such a formalism, the Parameterized Post-Friedmann framework (PPF), which parameterizes…

Cosmology and Nongalactic Astrophysics · Physics 2013-02-08 Tessa Baker , Pedro G. Ferreira , Constantinos Skordis

Templates for polarised emission from Galactic foregrounds at frequencies relevant to Cosmic Microwave Background (CMB) polarisation experiments are obtained by modelling the Galactic Magnetic Field (GMF) on large scales. This work extends…

Cosmology and Nongalactic Astrophysics · Physics 2013-01-21 C. N. Clark , C. R. Contaldi , C. J. MacTavish

We present a new approach in modelling the polarized Galactic synchrotron emission in the microwave range (20-100 GHz), where this radiation is expected to play the leading role in contaminating the Cosmic Microwave Background (CMB) data.…

Astrophysics · Physics 2009-11-07 G. Bernardi , E. Carretti , R. Fabbri , C. Sbarra , S. Poppi , S. Cortiglioni
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