The good-bad-ugly system near spatial infinity on flat spacetime. (2nd March 2023)

• Record Type: Journal Article
• Authors: Duarte, Miguel; Feng, Justin; Gasperín, Edgar; Hilditch, David
• Is Part Of: Classical and quantum gravity. Volume 40:Number 5(2023)
• Publication Date: 2023-03-02
• Subjects: cylinder at spatial infinity -- null infinity -- asymptotic system; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/acb47e
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: A model 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 i 0 -cylinder framework and those obtained through a heuristic method based on Hörmander's asymptotic system.