Adiabatic and entropy perturbations in cosmology

Abstract

This PhD thesis presents a study of the effect and generation of non-adiabatic perturbations in Cosmology. We study adiabatic (curvature) and entropy (isocurvature) perturbations produced during a period of cosmological inflation that is driven by multiple scalar fields with an arbitrary interaction potential. A local rotation in field space is performed to separate out the adiabatic and entropy modes. The resulting field equations show explicitly how on large scales entropy perturbations can source adiabatic perturbations if the background solution follows a curved trajectory in field space, and how adiabatic perturbations cannot source entropy perturbations in the long-wavelength limit. We show why one in general expects the adiabatic and entropy perturbations to be correlated at the end of inflation. Then, we consider two-field preheating after inflation, examining conditions under which entropy perturbations can alter the large-scale curvature perturbation and showing how our new formalism has advantages in numerical stability when the background solution follows a non-trivial trajectory in field space. Then we compare the latest cosmic microwave background data with theoretical predictions including correlated adiabatic and CDM isocurvature perturbations. We find that there is a degeneracy between the amplitude of correlated isocurvature perturbations and the spectral tilt. We then study perturbations in Randall-Sundrum-type brane-world cosmologies. The density perturbations generate Weyl curvature in the bulk, which in turn backreacts on the brane via stress-energy perturbations. Bulk effects produce a non-adiabatic mode, even when the matter perturbations are adiabatic, and alter the background dynamics.