Dark Energy and the Formation of the Large Scale Structure of the Universe
This thesis presents several significant new results that shed light on two major puzzles of modern cosmology: the nature of inflation, the very early phase of the universe that is thought to have given rise to the large-scale structures that we observe today; and that of the current accelerated expansion. In particular, it develops a clean method for characterizing linear cosmological perturbations for general theories where gravity is modified and/or affected by a new component, called dark energy, responsible for the accelerated expansion. It proposes a new extension to what were long thought to be the most general scalar field theories devoid of instabilities, and demonstrates the robustness of the relation between the energy scale of inflation and the predicted amplitude of gravitational waves. Finally, it consolidates a set of consistency relations between correlation functions of the cosmological density field and investigates the phenomenological consequences of their potential violation. Presented in a clear, succinct and rigorous style, each of these original results is both profound and important and will leave a deep mark on the field.
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Astrophys background baryons comoving compute consistency relations constraints correlation functions cosmological constant cosmological perturbation Creminelli dark energy dark matter defined dependence disformal Effective Field Theory equations of motion Equivalence Principle evolution extra DOF extrinsic curvature fluctuations fluid Fourier space Friedmann equations galaxy surveys galileons gauge freedom Gaussian Gleyzes higher derivatives horizon Horndeski theories inflation initial conditions JCAP kinetic kmax Lagrangian Langlois large scale structure long mode M2Pl metric modified gravity momenta Newtonian gauge non-Gaussianity Noreña observations overdensity parameters perturbation theory photons Phys Planck Collaboration Planck mass potential power spectrum primordial quadratic action quantities redshift space scalar field scalar-tensor theories Sect single field slow-roll ſº sound speed spatial Springer standard Supernova tensor modes theories beyond Horndeski Theory of Dark unitary gauge Universe variable Vernizzi weak lensing