Cosmological Perturbations in an Inflationary Universe

Abstract

After introducing gauge-invariant cosmological perturbation theory we give an improved set of governing equations for multiple fluids including energy transfer. Having defined adiabatic and entropic perturbations we derive the ``conservation law'' for the curvature perturbation on large scales using only the energy conservation equation. We then investigate the dynamics of assisted inflation. By choosing an appropriate rotation in field space we can write down explicitly the potential for the weighted mean field along the scaling solution and for fields orthogonal to it. This allows us to present analytic solutions describing homogeneous and inhomogeneous perturbations about the attractor solution without resorting to slow-roll approximations. Finally we analyze the simplest model of preheating analytically, and show that in linear perturbation theory the effect of preheating on the amplitude of the curvature perturbation on large scales is negligible. We end with some concluding remarks, possible extensions and an outlook to future work.

arXiv commentPhD thesis, University of Portsmouth, 82 pages, 5 figures

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