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 (8)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• The spatial energy spectrum of magnetic fields in our Galaxy
• Correlated adiabatic and isocurvature CMB fluctuations in the wake of the WMAP
• Observable primordial vector modes
• Entropy perturbations and large-scale magnetic fields
• Transfer matrices for magnetized CMB anisotropies
• The Cosmic Microwave Background Bipolar Power Spectrum: Basic Formalism and Applications

Cited by in corpus (13)

• CMB bispectrum from primordial magnetic fields on large angular scales
• The Impact of Stochastic Primordial Magnetic Fields on the Scalar Contribution to Cosmic Microwave Background Anisotropies
• Inflation-Produced Magnetic Fields in R^n F^2 and I F^2 models
• Faraday rotation, stochastic magnetic fields and CMB maps
• CMB anisotropies due to cosmological magnetosonic waves
• Effect of Primordial Magnetic Field on Seeds for Large Scale Structure
• Semi-analytical approach to magnetized temperature autocorrelations
• Generalized CMB initial conditions with pre-equality magnetic fields
• A magnetized completion of the $\Lambda$CDM paradigm
• Constraints on the Primordial Magnetic Field from ${\sigma }_8$
• Large-scale magnetic fields, curvature fluctuations and the thermal history of the Universe
• Ohmic currents and pre-decoupling magnetism
• Why CMB physics?