Spin-0 fields and the NP-constants close to spatial infinity in Minkowski spacetime

Author:

Gasperín Edgar1ORCID,Pinto Rafael1

Affiliation:

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

Abstract

Newman–Penrose (NP) constants of massless spin-0 fields propagating in Minkowski spacetime are computed close to spatial and null infinity by means of Friedrich’s i0-cylinder. Assuming a certain regularity condition on the initial data ensuring that the field extends analytically to critical sets, it is shown that the NP constants at future I+ and past null infinity I− are independent of each other. In other words, the classical NP constants at I± stem from different parts of the initial data given on a Cauchy hypersurface. In contrast, it is shown that, using a slight generalization of the classical NP constants, the associated quantities (i0-cylinder NP constants) do not require the regularity condition being satisfied and give rise to conserved quantities at I± that are determined by the same piece of initial data, which, in turn, correspond to the terms controlling the regularity of the field. Additionally, it is shown how the conservation laws associated with the NP constants can be exploited to construct, in flat space, heuristic asymptotic-system expansions, which are sensitive to the logarithmic terms at the critical sets.

Funder

Fundação para a Ciência e a Tecnologia

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference42 articles.

Cited by 1 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

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