Dual-Frame Generalized Harmonic Gauge on Hyperboloidal Slices - IPAM at UCLA

Explore a 42-minute conference talk on "Dual-Frame Generalized Harmonic Gauge on Hyperboloidal Slices" presented by David Hilditch from the Instituto Superior Tecnico, University of Lisbon, at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Delve into the challenges of including future null-infinity in computational domains for studies of cosmic censorship and gravitational wave astronomy. Examine the intricate balance between field decay near infinity and coefficient growth due to compactification in dual-frame generalized harmonic gauge. Gain insights into ongoing research towards numerically implementing the resulting PDEs. Follow the presentation's structure, covering topics such as the problem statement, key ingredients, strategy, height function, proposed model, field equations, and numerical results.

Intro
The Problem
Two Ingredients
Strategy
How it might work
The height function
Proposed model
Interesting case 2
Field Equations
Numerical Results