Tight coupling expansion and fully inhomogeneous magnetic fields

Abstract

The tight coupling expansion, appropriately generalized to include large-scale magnetic fields, allows the estimate of the brightness perturbations of CMB anisotropies for typical wavelengths that are larger than the Hubble radius after matter-radiation equality. After discussing the basic features of the the pre-decoupling initial conditions in the presence of fully inhomogeneous magnetic fields, the tight coupling expansion is studied both analytically and numerically. From the requirement that the amplitudes and phases of Sakharov oscillations are (predominantly) adiabatic and from the inferred value of the plateau in the temperature autocorrelation, the effects of the magnetized contribution can be systematically investigated and constrained.

30 pages, 14 figures

References in corpus (52)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Astrophysical magnetic fields and nonlinear dynamo theory
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• A New Radio - X-Ray Probe of Galaxy Cluster Magnetic Fields
• Magnetic Field in Clusters of Galaxies
• Anisotropies in the Cosmic Microwave Background: An Analytic Approach
• Pulsar rotation measures and the large-scale structure of Galactic magnetic field
• The Magnetized Universe
• Primordial Magnetic Fields From String Cosmology
• Acoustic Signatures in the Cosmic Microwave Background
• The General Primordial Cosmic Perturbation
• Faraday Rotation of Microwave Background Polarization by a Primordial Magnetic Field
• Microwave Background Signatures of a Primordial Stochastic Magnetic Field
• Microwave Background Signals from Tangled Magnetic Fields
• Analytic approach to the polarization of the cosmic microwave background in flat and open universes
• Faraday Rotation of the Cosmic Microwave Background Polarization by a Stochastic Magnetic Field
• A Faraday Rotation Search for Magnetic Fields in Large Scale Structure
• The Origin and Evolution of Cosmic Magnetism
• Effects of Cosmological Magnetic Helicity on the Cosmic Microwave Background
• Magnetized cosmological perturbations
• On inverse Cascades and Primordial Magnetic Fields
• Small-scale CMB polarization anisotropies due to tangled primordial magnetic fields
• The spatial energy spectrum of magnetic fields in our Galaxy
• Cosmic Microwave Background Polarization Signals from Tangled Magnetic Fields
• Spectral index maps of the radio halos in Abell 665 and Abell 2163
• Enhanced small-scale Faraday rotation in the Galactic spiral arms
• Correlated Primordial Perturbations in Light of CMB and LSS Data
• Faraday Rotation of the Cosmic Microwave Background Polarization and Primordial Magnetic Field Properties
• Limits on isocurvature fluctuations from Boomerang and MAXIMA
• Small-scale microwave background anisotropies due to tangled primordial magnetic fields
• B polarization of the CMB from Faraday rotation
• Observations of magnetic fields in the Milky Way and in nearby galaxies with a Square Kilometre Array
• Primordial magnetic field and non-Gaussianity of the 1-year Wilkinson Microwave Anisotropy Probe (WMAP) data
• Gauge-invariant magnetic perturbations in perfect-fluid cosmologies
• Magnetized CMB anisotropies
• Cosmic microwave background polarization, Faraday rotation and stochastic gravity-waves backgrounds
• Correlated adiabatic and isocurvature CMB fluctuations in the wake of the WMAP
• Observable primordial vector modes
• Magnetized initial conditions for CMB anisotropies
• A covariant and gauge-invariant analysis of cosmic microwave background anisotropies from scalar perturbations
• Looking for Cosmological Alfven Waves in WMAP Data
• Entropy perturbations and large-scale magnetic fields
• Magnetized birefringence and CMB polarization
• The effect of Silk damping on primordial magnetic fields
• Transfer matrices for magnetized CMB anisotropies
• The Cosmic Microwave Background Bipolar Power Spectrum: Basic Formalism and Applications
• CMB Anisotropy Due to Tangled magnetic fields in re-ionized models

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• The Impact of Stochastic Primordial Magnetic Fields on the Scalar Contribution to Cosmic Microwave Background Anisotropies
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• Magnetized CMB observables: a dedicated numerical approach
• Helical Magnetic Fields from Inflation
• Higher order statistics of curvature perturbations in IFF model and its Planck constraints
• Constraints on Primordial Magnetic Fields from Planck combined with the South Pole Telescope CMB B-mode polarization measurements
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Primordial Magnetic Field Limits from Cosmic Microwave Background Bispectrum of Magnetic Passive Scalar Modes
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• Magnetogenesis, spectator fields and CMB signatures
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• Effects of helical magnetic fields on the cosmic microwave background
• Acoustic signatures in the Cosmic Microwave Background bispectrum from primordial magnetic fields
• Parameter dependence of magnetized CMB observables
• Semi-analytical approach to magnetized temperature autocorrelations
• Generalized CMB initial conditions with pre-equality magnetic fields
• The V-mode polarization of the Cosmic Microwave Background
• A magnetized completion of the $\Lambda$CDM paradigm
• Magneto-reheating constraints from curvature perturbations
• Searching for Primordial Magnetic Fields with CMB B-modes
• Constraints on the Primordial Magnetic Field from ${\sigma }_8$
• Large-scale magnetic fields, curvature fluctuations and the thermal history of the Universe
• Primordial Magnetic Field Effects on the CMB and Large Scale Structure
• Probing large-scale magnetism with the Cosmic Microwave Background
• Generation of Curvature Perturbations with Extra Anisotropic Stress
• Constraints on the neutrino mass and the primordial magnetic field from the matter density fluctuation parameter ${\sigma }_8$
• Thermal Sunyaev-Zel'dovich effect in the intergalactic medium with primordial magnetic fields
• Circular dichroism, magnetic knots and the spectropolarimetry of the Cosmic Microwave Background
• Cosmic polarimetry in magnetoactive plasmas
• CMB with the background primordial magnetic field
• Ohmic currents and pre-decoupling magnetism
• Birefringence, CMB polarization and magnetized B-mode
• Inflationary magnetogenesis, derivative couplings and relativistic Van der Waals interactions
• Why CMB physics?
• Evolution of the cosmic matter density field with a primordial magnetic field
• Compressible hydromagnetic nonlinearities in the predecoupling plasma
• Effects of a primordial magnetic field with log-normal distribution on the cosmic microwave background
• Gradient expansion, curvature perturbations and magnetized plasmas
• Scaling laws and sum rules for the B-mode polarization
• Constraints on the multi-lognormal magnetic fields from the observations of the cosmic microwave background and the matter power spectrum
• Statistical anisotropy from inflationary magnetogenesis
• Growth rate of matter perturbations as a probe of large-scale magnetism
• Tensor B mode and stochastic Faraday mixing
• Spectator Higgs, large-scale gauge fields and the non-minimal coupling to gravity
• Magnetization of fluid phonons and large-scale curvature perturbations
• Magnetic field contribution to the last electron-photon scattering
• Spectator stresses and CMB observables