Introduction to Early Universe Cosmology
Robert H. Brandenberger (McGill University)

TL;DR
This paper reviews the current state of early universe cosmology, focusing on the theory of cosmological perturbations and comparing inflationary models with alternatives like the Matter Bounce and String Gas Cosmology.
Contribution
It introduces and compares multiple models of the early universe, highlighting their successes and conceptual challenges, and discusses how they generate observable cosmological fluctuations.
Findings
Inflationary cosmology successfully explains current data.
Alternative models like Matter Bounce and String Gas Cosmology are viable.
Conceptual challenges motivate exploring new early universe scenarios.
Abstract
Observational cosmology is in its "golden age" with a vast amount of recent data on the distribution of matter and light in the universe. This data can be used to probe theories of the very early universe. It is small amplitude cosmological fluctuations which encode the information about the very early universe and relate it to current data. Hence, a central topic in these lectures is the "theory of cosmological perturbations", the theory which describes the generation of inhomogeneities in the very early universe and their evolution until the current time. I will apply this theory to three classes of models of the very early universe. The first is "Inflationary Cosmology", the current paradigm for understanding the early evolution of the universe. I will review the successes of inflationary cosmology, but will also focus on some conceptual challenges which inflationary cosmology is…
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