The good-bad-ugly system near spatial infinity on flat spacetime
arXiv:2209.12247 · doi:10.1088/1361-6382/acb47e
Abstract
A system of equations that serves as a model for the Einstein field equation in generalised harmonic gauge called the good-bad-ugly system is studied in the region close to null and spatial infinity in Minkowski spacetime. This analysis is performed using H. Friedrich's cylinder construction at spatial infinity and defining suitable conformally rescaled fields. The results are translated to the physical set up to investigate the relation between the polyhomogeneous expansions arising from the analysis of linear fields using the -cylinder framework and those obtained through a heuristic method based on Hörmander's asymptotic system.
22 pages, 2 figures
References in corpus (7)
- The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples
- Polyhomogeneous expansions from time symmetric initial data
- Asymptotic properties of the development of conformally flat data near spatial infinity
- Peeling in Generalized Harmonic Gauge
- High Order Asymptotic Expansions of a Good-Bad-Ugly Wave Equation
- The Maxwell-scalar field system near spatial infinity
- Staticity and regularity for zero rest-mass fields near spatial infinity on flat spacetime