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Dive into the second part of an advanced lecture on Numerical Relativity, exploring the computational methods used to solve Einstein's Field Equations. Learn about the 3+1 formulation of Einstein's equations, the initial data problem, evolution problem, gauge choice, and extraction of gauge-invariant quantities. Gain insights into breakthrough results in gravitational-wave astronomy as presented by Sebastiano Bernuzzi from Friedrich Schiller University Jena. This comprehensive 1-hour and 51-minute lecture, hosted by the Institut des Hautes Etudes Scientifiques (IHES), provides a deep understanding of the formalism employed in astrophysical simulations for strong-gravity scenarios, including compact binaries, gravitational collapse, and gravitational waves.
