On the relation between asymptotic charges, the failure of peeling and late-time tails
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
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- October 2022
- DOI:
- 10.1088/1361-6382/ac8863
- arXiv:
- arXiv:2202.04093
- Bibcode:
- 2022CQGra..39s5006G
- Keywords:
-
- peeling;
- asymptotic analysis;
- gravitational radiation;
- black holes;
- wave equation;
- late-time tails;
- linearised gravity;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Analysis of PDEs
- E-Print:
- 24 pages, 8 figures. v2: Typo in (2.9) fixed. Prediction for the decay rate of Psi_4 changed from u^{-4} to u^{-3}, further details given in section 6