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