CMB anisotropies in the presence of a stochastic magnetic field

TL;DR

This paper investigates how primordial magnetic fields influence cosmic microwave background anisotropies and matter power spectrum, providing detailed calculations and analyses within a gauge-invariant framework.

Contribution

It introduces a comprehensive gauge-invariant formalism to compute CMB anisotropies and matter power spectrum in the presence of primordial magnetic fields.

Findings

Magnetic fields affect scalar perturbation-induced CMB anisotropies

Calculated matter power spectrum shows magnetic field influence

Numerical and qualitative analyses support the results

Abstract

Primordial magnetic fields present since before the epoch of matter-radiation equality have an effect on the anisotropies of the cosmic microwave background. The CMB anisotropies due to scalar perturbations are calculated in the gauge invariant formalism for magnetized adiabatic initial conditions. Furthermore the linear matter power spectrum is calculated. Numerical solutions are complemented by a qualitative analysis.