Generalized harmonic gauge on compactified hyperboloidal slices

Abstract

I will give an update on our progress toward numerical treatment of the hyperboloidal initial value problem with the generalized harmonic gauge formulation using a dual-foliation setup. This will include an overview of our general strategy, spherical and 3D toy models, the comprehensive treatment of spherical GR, and finally, a discussion of what remains to be done in the full 3D case.

David Hilditch

Assistant Professor

I work on mathematical topics in numerical relativity. In particular my research has focused on the gauge freedom of general relativity and on the development of formulations suitable for numerical approximation.