The good-bad-ugly system near spatial infinity on flat spacetime

Author:

Duarte MiguelORCID,Feng JustinORCID,Gasperín EdgarORCID,Hilditch DavidORCID

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.

Funder

PTDC/MAT

FCT

Publisher

IOP Publishing

Subject

Physics and Astronomy (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Polyhomogeneous spin-0 fields in Minkowski space–time;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-01-15

2. Spin-0 fields and the NP-constants close to spatial infinity in Minkowski spacetime;Journal of Mathematical Physics;2023-08-01

3. 3D evolution of a semilinear wave model for the Einstein field equations on compactified hyperboloidal slices;Physical Review D;2023-07-28

4. Linearised conformal Einstein field equations;Classical and Quantum Gravity;2023-07-25

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