Venue: Maths 103
In this talk I will discuss some recent, complementary work that I have undertaken using cosmological perturbation theory, a powerful technique for modelling inhomogeneities in the universe. After a brief review of the basics, I introduce isocurvature, or non-adiabatic pressure perturbations, and calculate their spectrum in the settings of standard, concordance cosmology, and inflationary models involving two scalar fields. I then extend the discussion beyond linear perturbations, and show that vorticity can be sourced at second order with only scalar perturbations, the source term being quadratic in the gradients of first order energy density and non-adiabatic pressure perturbations. I present a first estimate of this vorticity's power spectrum, and briefly touch on some potential observational consequences. One of these is the possible sourcing of sizeable magnetic fields, and I briefly sketch some current work on including magnetic fields in perturbation theory in a consistent way. I close with some ideas for future work.