TESTING BINARY BLACK HOLE CODES IN STRONG FIELD REGIMES

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The book delves into the study of instabilities in numerical relativity codes, emphasizing vacuum solutions with T^3 topology. It utilizes the 3+1 ADM formulation of Einstein's equations to test the numerical code against complex periodic solutions, including Kasner, Gowdy, and Bondi waves. The author investigates constraint violations, gauge mode instabilities, and various numerical effects like convergence and dispersion. Additionally, it covers techniques designed to analyze the stability properties of the numerical code, contributing to a deeper understanding of these critical aspects in the field.