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arXiv · 2303.17124

An asymptotic framework for gravitational scattering

Geoffrey Compère·Samuel E. Gralla·Hongji Wei
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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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Geoffrey Compère, Samuel E. Gralla, Hongji Wei. 2023-03-30. An asymptotic framework for gravitational scattering. https://arxiv.org/abs/2303.17124

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