Dual-Frame Generalized Harmonic Gauge on Hyperboloidal Slices
Presenter
October 28, 2021
Abstract
Recorded 28 October 2021. David Hilditch of the Instituto Superior Tecnico, University of Lisbon, presents "Dual-Frame Generalized Harmonic Gauge on Hyperboloidal Slices" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation.
Abstract: Both for studies of cosmic censorship and for practical purposes in gravitational wave astronomy, it is desirable to include future null-infinity in the computational domain. Extending formulations of general relativity known to behave well in the strong-field regime out to infinity with compactification is, however, a subtle game. In my presentation I will explain how the competition between decay of fields near infinity and growth of coefficients (due to compactification) plays out in dual-frame generalized harmonic gauge. I will discuss ongoing work towards the numerical implementation of the resulting PDEs.
Learn more online at: https://www.ipam.ucla.edu/programs/workshops/workshop-ii-mathematical-and-numerical-aspects-of-gravitation/?tab=schedule