Using Comoving Hyperboloidal Coordinates to Model Black Hole Scattering

Explore advanced computational methods for modeling black hole scattering events through this 23-minute conference lecture from the Erwin Schrödinger International Institute for Mathematics and Physics. Learn how comoving hyperboloidal coordinates can be applied to tackle gravitational self-force problems in scattering scenarios, addressing the growing need for precise gravitational wave models driven by observational requirements and theoretical advances in scattering amplitudes. Discover the numerical implementation of hyperboloidal coordinate schemes that move with smaller objects during scattering events, enabling analysis of the full gravitational problem beyond previous scalar field toy models. Examine detailed results for scalar charge scattering off Schwarzschild black holes and review preliminary findings for gravitational cases. Understand how black hole perturbation theory and gravitational self-force formalism provide natural frameworks for studying scenarios where smaller objects probe deep into strong gravitational field regions of larger black holes. Gain insights into future research directions for obtaining gravitational self-force calculations and corrections to scattering angles from these computational approaches.