Calculation of asymptotic charges at the critical sets of null infinity.
Calculation of asymptotic charges at the critical sets of null infinity.
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DOI：
10.1098/rsta.2023.0038
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发表时间：
2024-03-04
期刊：
影响因子：
5
通讯作者：
Mohamed, Mariem Magdy Ali
中科院分区：
文献类型：
--
作者：
Mohamed, Mariem Magdy Ali
渐近平坦时空的零和空间无穷大的渐近结构在讨论引力辐射、引力记忆效应和广义相对论中的守恒量等问题中起着重要的作用。Bondi，Metzner and Sachs（BMS）建立了渐近简单时空的渐近对称群是无限维BMS群。假设零无穷大分为两组：过去零无穷大和未来零无穷大，我们可以识别两个独立的对称群：at和at。与这些对称性相关的是所谓的BMS电荷。斯特罗明格最近的一个猜想表明，和的生成元及其相关电荷通过空间无穷远附近的对映反射映射相关。为了验证这种匹配，需要对空间无限远附近的引力场进行分析。这个任务是复杂的，由于奇异的性质，空间无限的时空与非零ADM质量。在文献中已经引入了不同的框架来解决这个奇点，例如弗里德里希圆柱，Ashtekar-Hansen双曲面和Ashtekar-Romano在空间无穷远的渐近线。本文综述了Friedrich空间无穷大公式在闵可夫斯基时空和全GR背景下自旋2电荷匹配研究中的作用。这篇文章是讨论会的一部分问题“在界面的渐近性，共形方法和分析在广义相对论”。
The asymptotic structure of null and spatial infinities of asymptotically flat spacetimes plays an essential role in discussing gravitational radiation, gravitational memory effect, and conserved quantities in General Relativity (GR). Bondi, Metzner and Sachs (BMS) established that the asymptotic symmetry group for asymptotically simple spacetimes is the infinite-dimensional BMS group. Given that null infinity is divided into two sets: past null infinity and future null infinity , one can identify two independent symmetry groups: at and at . Associated with these symmetries are the so-called BMS charges. A recent conjecture by Strominger suggests that the generators of and and their associated charges are related via an antipodal reflection map near spatial infinity. To verify this matching, an analysis of the gravitational field near spatial infinity is required. This task is complicated due to the singular nature of spatial infinity for spacetimes with non-vanishing ADM mass. Different frameworks have been introduced in the literature to address this singularity, e.g. Friedrich’s cylinder, Ashtekar-Hansen’s hyperboloid and Ashtekar-Romano’s asymptote at spatial infinity. This paper reviews the role of Friedrich’s formulation of spatial infinity in the investigation of the matching of the spin-2 charges on Minkowski spacetime and in the full GR setting. This article is part of a discussion meeting issue ‘At the interface of asymptotics, conformal methods and analysis in general relativity’.
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