3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices

Understand

The Good-Bad-Ugly-F model is a system of semi-linear wave equations that mimics the asymptotic form of the Einstein field equations in generalized harmonic gauge with specific constraint damping and suitable gauge source functions.

• These constraint additions and gauge source functions eliminate logarithmic divergences appearing at the leading order in the asymptotic expansion of the metric components.
• In this work, as a step towards using compactified hyperboloidal slices in numerical relativity, we evolve this model numerically in spherical symmetry, axisymmetry and full 3d on such hyperboloidal slices.
• Promising numerical results are found in all cases.