On the relation between asymptotic charges, the failure of peeling and late-time tails

Author:

Gajic DejanORCID,Kehrberger Leonhard M AORCID

Abstract

Abstract The last few years have seen considerable mathematical progress concerning the asymptotic structure of gravitational radiation in dynamical, astrophysical spacetimes. In this paper, we distil some of the key ideas from recent works and assemble them in a new way in order to make them more accessible to the wider general relativity community. In the process, we also discuss new physical findings. First, we introduce the conserved f(r)-modified Newman–Penrose charges on asymptotically flat spacetimes, and we show that these charges provide a dictionary that relates asymptotics of massless, general spin fields in different regions: asymptotic behaviour near i + (‘late-time tails’) can be read off from asymptotic behaviour towards I + , and, similarly, asymptotic behaviour towards I + can be read off from asymptotic behaviour near i or I . Using this dictionary, we then explain how: (I) the quadrupole approximation for a system of N infalling masses from i causes the ‘peeling property towards I + ’ to be violated, and (II) this failure of peeling results in deviations from the usual predictions for tails in the late-time behaviour of gravitational radiation: instead of the Price’s law rate r Ψ [ 4 ] | I + u 6 as u → ∞, we predict that r Ψ [ 4 ] | I + u 4 , with the coefficient of this latter decay rate being a multiple of the monopole and quadrupole moments of the matter distribution in the infinite past.

Publisher

IOP Publishing

Subject

Physics and Astronomy (miscellaneous)

Cited by 9 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. Corrigendum: On the relation between asymptotic charges, the failure of peeling and late-time tails (2022 Class. Quantum Grav. 39 195006);Classical and Quantum Gravity;2024-05-07

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

3. Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-01-15

4. The case against smooth null infinity IV: Linearized gravity around Schwarzschild—an overview;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-01-15

5. Phase space renormalization and finite BMS charges in six dimensions;Journal of High Energy Physics;2023-11-07

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