Polyhomogeneous spin-0 fields in Minkowski space–time-Reference-Cited by-同舟云学术

Polyhomogeneous spin-0 fields in Minkowski space–time

Published:2024-01-15 Issue:2267 Volume:382 Page:
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Gasperín Edgar¹^ORCID

Affiliation:

1. CENTRA, Departamento de Física, Instituto Superior Técnico IST, Universidade de Lisboa UL, Avenida Rovisco Pais 1, 1049 Lisboa, Portugal

Abstract

The asymptotic behaviour of massless spin-0 fields close to spatial and null infinity in Minkowski space–time is studied by means of Friedrich’s cylinder at spatial infinity. The results are applied to a system of equations called the good–bad–ugly which serves as a model for the Einstein field equations in generalized harmonic gauge. The relation between the logarithmic terms (polyhomogeneity) appearing in the solution obtained using conformal methods and those obtained by means of a heuristic method based on Hörmander’s asymptotic system is discussed. This review article is based on Duarte et al. (Duarte et al. 2023 Class. Quantum Gravity 40 , 055002. ( doi:10.1088/1361-6382/acb47e )); Gasperín & Pinto (Gasperín & Pinto 2023 Spin-0 fields and the NP-constants close to spatial infinity in Minkowski spacetime. J. Math. Phys. 64 , 082502. ( doi:10.1063/5.0158746 )). This article is part of a discussion meeting issue ‘At the interface of asymptotics, conformal methods and analysis in general relativity’.

Funder

FCT

Publisher

The Royal Society

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2023.0045

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