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Title: An asymptotic framework for gravitational scattering
Abstract

Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinityi±, future/past null infinity, and spatial infinityi0. We formulate assumptions and definitions such that the five infinities share a single Bondi–Metzner–Sachs (BMS) group of asymptotic symmetries and associated charges. We show how individual ingoing/outgoing massive bodies may be ascribed initial/final BMS charges and derive global conservation laws stating that the change in total charge is balanced by the corresponding radiative flux. This framework provides a foundation for the study of asymptotically flat spacetimes containing ingoing and outgoing massive bodies, i.e. for generalized gravitational scattering. Among the new implications are rigorous definitions for quantities like initial/final spin, scattering angle, and impact parameter in multi-body spacetimes, without the use of any preferred background structure.

 
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Award ID(s):
2309191 1752809
NSF-PAR ID:
10465035
Author(s) / Creator(s):
; ;
Publisher / Repository:
IOP Publishing
Date Published:
Journal Name:
Classical and Quantum Gravity
Volume:
40
Issue:
20
ISSN:
0264-9381
Format(s):
Medium: X Size: Article No. 205018
Size(s):
["Article No. 205018"]
Sponsoring Org:
National Science Foundation
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