Cosmological initial data for numerical relativity
David Garfinkle, Lawrence Mead
TL;DR
This paper develops new analytic and numerical methods to generate initial data for numerical relativity simulations of inhomogeneous cosmologies, including complex cases like two-field ekpyrotic models.
Contribution
It introduces novel analytic and numerical techniques to solve the exceptional cases of the Einstein constraint equations in cosmological settings.
Findings
Successfully applied analytic method to single scalar field cosmology
Implemented numerical method for two-field ekpyrotic cosmology
Provided initial data frameworks for complex inhomogeneous cosmological models
Abstract
We find initial data for numerical relativity simulations of inhomogeneous cosmologies. This involves treating an exceptional case of the general relativity constraint equations. We devise analytic and numerical methods to treat this exceptional case. We apply the analytic method to the standard case of cosmology with a single scalar field. The numerical method is applied to the two-field ekpyrotic cosmology.
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