This book explores the use of numerical relativity (NR) methods to
solve cosmological problems, and describes one of the first uses of
NR to study inflationary physics. NR consists in the solution of
Einstein's Equation of general relativity, which governs the
evolution of matter and energy on cosmological scales, and in
systems where there are strong gravitational effects, such as
around black holes. To date, NR has mainly been used for simulating
binary black hole and neutron star mergers like those detected
recently by LIGO. Its use as a tool in fundamental problems of
gravity and cosmology is novel, but rapidly gaining interest. In
this thesis, the author investigates the initial condition problem
in early universe cosmology - whether an inflationary expansion
period could have "got going" from initially inhomogeneous
conditions - and identifies criteria for predicting the robustness
of particular models. State-of-the-art numerical relativity tools
are developed in order to address this question, which are now
publicly available.
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