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Topological Dynamical Systems Methods in Early-Universe Cosmologies
This dissertation describes some important problems that we have tried to solve with respect to the state of the early universe, that is, the universe shortly after the Big Bang. Standard early-universe cosmological ...
Modified Gravity and Cosmology on the Largest Scales
This dissertation presents a series of my contributions to research in theoretical cosmology, focusing on aspects of the very large scale universe, particularly dark energy, cosmic acceleration, modified gravity, and cosmic ...
Cosmic Bubble Collisions: Observable Signature of a Classical Transition
The theory of inflation was introduced to resolve many existing observational problems in cosmology. Inflation becomes eternal when a region of space continuously spawns non-inflation regions. This process arises from ...