Constraints and evolution in cosmology
Yvonne Choquet-Bruhat, James W. York
TL;DR
This paper reviews various formulations of Einstein's equations in cosmology, focusing on their mathematical properties and evolution constraints, to improve understanding and numerical modeling of the universe.
Contribution
It provides a comprehensive review of both traditional and recent hyperbolic formulations of Einstein's equations in cosmology.
Findings
Analysis of strict and non-strict hyperbolic formulations
Comparison of formulation stability and evolution constraints
Insights into numerical relativity applications
Abstract
We review some old and new results about strict and non strict hyperbolic formulations of the Einstein equations.
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