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An asymptotic framework for gravitational scattering

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arxiv 2303.17124 v3 pith:EHDC5I37 submitted 2023-03-30 gr-qc hep-th

Geoffrey Compère , Samuel E. Gralla , Hongji Wei This is my paper
classification gr-qchep-th
keywords infinityscatteringspacetimesasymptoticasymptoticallybodieschargesdefinitions
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abstract

Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity $i^\pm$, future/past null infinity $\mathcal{I}^\pm$, and spatial infinity $i^0$. 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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flat Holography & Holographic Renormalization: Scalar Field

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    Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.

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