An asymptotic framework for gravitational scattering
An asymptotic framework for gravitational scattering
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DOI：
10.1088/1361-6382/acf5c1
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发表时间：
2023-03
影响因子：
3.5
通讯作者：
G. Compère;S. Gralla;Hongjin Wei
中科院分区：
文献类型：
--
作者：
G. Compère;S. Gralla;Hongjin Wei
渐近平坦的时空在五个不同的区域被研究：未来/过去类时无穷大i±，未来/过去零无穷大和空间无穷大i 0。我们制定的假设和定义，使五个无限共享一个单一的邦迪-梅茨纳-萨克斯（BMS）组的渐近对称性和相关的费用。我们将展示如何个别进出的大规模机构可能归因于初始/最终BMS收费，并推导出全球守恒定律，说明总电荷的变化是由相应的辐射通量平衡。这一框架为研究包含进出大质量物体的渐近平坦时空，即广义引力散射提供了基础。在新的含义是严格的定义，如初始/最终自旋，散射角，并在多体时空的影响参数，而不使用任何首选的背景结构。
Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity i± , future/past null infinity , 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.