Numerical Relativity for Next-Generation Gravitational-Wave Observatories - Geoffrey Lovelace

Explore numerical relativity and its crucial role in next-generation gravitational-wave observatories in this 46-minute lecture by Geoffrey Lovelace from California State University, Fullerton. Delve into the dynamics of warped spacetime, learn how to solve Einstein's equations in vacuum, and understand the generalized harmonic formulation. Examine the challenges in modeling signals for future detectors, including the need for increased accuracy and handling very unequal masses. Discover the SXS Catalog and its variety of configurations. Gain insights into how numerical relativity is essential for interpreting strong gravitational-wave events and enabling sensitive searches for new physics embedded in these signals.

Intro
Numerical relativity: Warped spacetime dynamics
Numerical relativity Model, interpret observations
Solving Einstein's equations in vacuum
Wave equation: first order formulation An analogy
Generalized harmonic formulation
Next-generation gravitational-wave observatories
Challenges for modeling next-gen signals Accuracy
Next-generation numerical relativity For next-generation detectors
SXS Catalog Configuration variety
Challenges Very unequal masses