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We derive precise late-time asymptotics for solutions to the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes including as special cases the Schwarzschild and Reissner-Nordstrom families of black holes.…

Analysis of PDEs · Mathematics 2018-02-16 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

We propose a definition of asymptotically flat spacetimes that is consistent with both null infinities and compatible with known properties of gravitational scattering, incoming and outgoing radiation, and interactions with matter. For this…

High Energy Physics - Theory · Physics 2026-04-21 Geoffrey Compère , Sébastien Robert

We investigate the fate of asymptotic simplicity in physically relevant settings of compact-object scattering. Using the stress tensor of a two-body system as a source, we compute the spacetime metric in General Relativity at finite…

High Energy Physics - Theory · Physics 2026-03-13 Stefano De Angelis , Aidan Herderschee , Radu Roiban , Fei Teng

We classify the asymptotic charges of a class of polyhomogeneous asymptotically-flat spacetimes with finite shear, generalising recent results on smooth asymptotically-flat spacetimes. Polyhomogenous spacetimes are a formally consistent…

High Energy Physics - Theory · Physics 2020-09-23 Mahdi Godazgar , George Long

We study the subleading structure of asymptotically-flat spacetimes and its relationship to the $w_{1+\infty}$ loop algebra of higher spin charges. We do so using both the Bondi-Sachs and the Newman-Penrose formalism, via a dictionary built…

High Energy Physics - Theory · Physics 2025-01-22 Marc Geiller

In Class. Quantum Grav. 26 (2009) 175006 (arXiv:0812.4333v3) Bizon et al discuss the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in odd spatial dimensions. They derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Nikodem Szpak

A brief review about the Newman-Penrose formalism and the asymptotic structure of the spacetime is given. The goal of this review is to describe the latest developments in these topics and make a summary of the most important articles…

General Relativity and Quantum Cosmology · Physics 2017-12-01 L. A. Gómez López , G. D. Quiroga

In this paper, we prove precise late-time asymptotics for solutions to the wave equation supported on angular frequencies greater or equal to $\ell$ on the domain of outer communications of subextremal Reissner-Nordstr\"om spacetimes up to…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

We compute the conserved charges associated with the asymptotic symmetries of massless particles by examining their free theory in Minkowski spacetime. We give a procedure to systematically deduce the fall off of the massless fields at…

High Energy Physics - Theory · Physics 2023-06-21 Kevin Nguyen , Peter West

We obtain the subleading tail to the memory term in the late time electromagnetic radiative field generated due to a generic scattering of charged bodies. We show that there exists a new asymptotic conservation law which is related to the…

High Energy Physics - Theory · Physics 2021-02-16 Sayali Atul Bhatkar

We present a comprehensive discussion of gravitational charges and radiation in four-dimensional asymptotically locally de Sitter (AldS) spacetimes. Such spacetimes have compact spatial sections and possess spacelike past and future…

High Energy Physics - Theory · Physics 2025-12-17 Aaron Poole , Kostas Skenderis , Marika Taylor

This is the second part of a series of papers deriving the precise, late-time behaviour and (in)stability properties of charged scalar fields on near-extremal Reissner--Nordstr\"om spacetimes via energy estimates. In this paper, we use…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Dejan Gajic

In this paper, we further develop previous work on asymptotically flat spacetimes and extend subleading BMS and dual BMS charges in a large $r$ expansion to all orders in $r^{-1}$. This forms a complete account of this prescription in…

General Relativity and Quantum Cosmology · Physics 2023-04-26 George Macaulay

In this paper, we expand on results from our previous paper "The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples" [1] by showing that the failure of "peeling" (and, thus, of smooth null infinity) in a neighbourhood of…

General Relativity and Quantum Cosmology · Physics 2025-08-20 Lionor M. A. Kehrberger

We construct a relation between the Aretakis charge of any extreme black hole and the Newman-Penrose charge. This is achieved by constructing a conformal correspondence between extreme black holes and what we call weakly asymptotically flat…

High Energy Physics - Theory · Physics 2017-11-01 Hadi Godazgar , Mahdi Godazgar , C. N. Pope

Starting from Post-Newtonian predictions for a system of $N$ infalling masses from the infinite past, we formulate and solve a scattering problem for the system of linearised gravity around Schwarzschild as introduced in [DHR19]. The…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Lionor Kehrberger , Hamed Masaood

We analyze the directional properties of general gravitational, electromagnetic, and spin-s fields near conformal infinity I. The fields are evaluated in normalized tetrads which are parallelly propagated along null geodesics which approach…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pavel Krtous , Jiri Podolsky

The asymptotic structure of space-time is studied by imposing conditions on the asymptotics of the metric. These conditions are weak enough to include large classes of physically relevant isolated space-times, but have a rich enough…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Berend Schneider , Neev Khera

Certain aspects of the behaviour of the gravitational field near null and spatial infinity for the developments of asymptotically Euclidean, conformally flat initial data sets are analysed. Ideas and results from two different approaches…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. A. Valiente Kroon

We review some relevant results in the context of higher spin black holes in three-dimensional spacetimes, focusing on their asymptotic behaviour and thermodynamic properties. For simplicity, we mainly discuss the case of gravity…

High Energy Physics - Theory · Physics 2014-05-14 Alfredo Perez , David Tempo , Ricardo Troncoso
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