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• W2417767545 abstract "For almost a hundred years now, Einstein’s General Relativity theory has played a pivotal role in our understanding of the Universe. The recent realization of the accelerated cosmic expansion, however, has put modern cosmology in crisis, mainly because this new realization implies most of the matter and energy content of the Universe exists in a not-yet-understood dark energy form. The existence of dark energy and dark matter (another little-understood, non-luminous form of matter) has led to the conclusion that the general relativistic formulation of gravity does not provide a complete description of the Universe on large scales, and has therefore motivated the cosmology community in the search for new underlying physics. One possible modification of General Relativity comes in the form of f(R) theories of gravity. In this thesis we look at the possible implications to cosmology of this class of modified gravitational physics. In particular, we study the formation of large scale structures using the 1+3 covariant and gauge-invariant formulation of cosmological perturbations and the application of dynamical systems in the background analysis. Given that we are in an era of precision cosmology, there are multiple observational surveys (such as the Sloan Digital Sky Survey) against which a comparison of predicted matter power spectra of these theories can be made, thus constraining the viability of some f(R) models. In this regard, we study the predicted power spectra using both a dynamical systems approach for the background and solving for the matter perturbations, comparing the theoretical results with several SDSS Data. The importance of studying the first order perturbed equations by assuming the correct background evolution and the relevance of the initial conditions are stressed. Moreover, we analyze constraints of the cosmic evolution history using the geometric information that can be extracted from baryon acoustic oscillations (BAO) data. We also look at shear-free perturbations in these theories and show that for some models, some classical results arising from General Relativity can be avoided. General Relativity does not have a proper Newtonian limit on cosmological scales. However, Un ive rsi ty of Ca pe To wn vii a quasi-Newtonian rendering of the theory in the linearized regime of the FriedmannLemâitreRobertson-Walker (FLRW) cosmological model gives integrability conditions for a consistent propagation of the field equations. In this thesis, we prove that these integrability conditions are also satisfied in the broader class of gravitational theories." @default.
• W2417767545 created "2016-06-24" @default.
• W2417767545 creator A5011310705 @default.
• W2417767545 date "2015-08-13" @default.
• W2417767545 modified "2023-09-26" @default.
• W2417767545 title "Beyond Concordance Cosmology" @default.
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