Mathematics – Logic
Scientific paper
Dec 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006phdt........35s&link_type=abstract
Proquest Dissertations And Theses 2006. Section 0070, Part 0606 125 pages; [Ph.D. dissertation].United States -- Florida: Unive
Mathematics
Logic
Cosmological, Universe, Inflation, Acceleration
Scientific paper
The universe is, on the largest scales, nearly perfectly isotropic and homogeneous. This degree of smoothness was accentuated in the past, when density inhomogeneities departed from perfect uniformity by only thirty parts per million. These tiny imperfections in the early universe, however, have had enormous impact in causing the universe to evolve into its present state. This dissertation examines the role of these cosmological perturbations throughout various important events during the history of the universe, including inflation, linear and nonlinear structure formation, and the current phase of accelerated expansion. The spectrum of perturbations is calculated in the context of extra dimensions, and shown under which conditions it can be thermal. The effects of gravitational collapse are shown to generate magnetic fields, but not to significantly alter the expansion rate or cause acceleration. Finally, Lyman-break galaxies are examined as a possible distance indicator, and it is found that they may emerge as a powerful tool to better understand the energy content of the universe.
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