Numerical Relativity: Mathematical Formulation - Lecture 2
Delve into the second lecture of the Numerical Relativity course, focusing on its mathematical formulation. Explore the complex field equations of General Relativity and their application in modeling high-energy astrophysical phenomena. Learn how these equations are solved in conjunction with magnetohydrodynamics using supercomputers to accurately simulate mergers of black holes and neutron stars, massive star collapses, and accreting black holes. Gain insights into the essential role of Numerical Relativity in interpreting gravitational-wave signals and multi-messenger observations from coalescing binaries. Understand the significance of these simulations for upcoming gravitational-wave, electromagnetic, and neutrino observatories. This lecture, part of a comprehensive two-week summer school on Gravitational-Wave Astronomy, provides graduate-level instruction from expert Thomas Baumgarte of Bowdoin College.