Supertranslation ambiguity in post-Minkowskian expansion

Fuente: arXiv
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Auteurs principaux: Mao, Pujian, Zeng, Baijun
Format: Preprint
Publié: 2024
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author Mao, Pujian
Zeng, Baijun
author_facet Mao, Pujian
Zeng, Baijun
contents The supertranslation ambiguity of angular momentum is a long-standing problem in general relativity, which arises the puzzle of the angular momentum loss in the post-Minkowskian (PM) expansion. The angular momentum loss in gravitational scattering is of order $G^2$ in the linear response theory but of order $G^3$ in the amplitudes-based methods. In this paper, we propose a generic prescription to fix the supertranslation ambiguity in the PM expansion which will uniquely determine the angular momentum loss. The proposal is self-contained and involves only the null infinity data.
format Preprint
id arxiv_https___arxiv_org_abs_2406_07943
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Supertranslation ambiguity in post-Minkowskian expansion
Mao, Pujian
Zeng, Baijun
General Relativity and Quantum Cosmology
High Energy Physics - Theory
The supertranslation ambiguity of angular momentum is a long-standing problem in general relativity, which arises the puzzle of the angular momentum loss in the post-Minkowskian (PM) expansion. The angular momentum loss in gravitational scattering is of order $G^2$ in the linear response theory but of order $G^3$ in the amplitudes-based methods. In this paper, we propose a generic prescription to fix the supertranslation ambiguity in the PM expansion which will uniquely determine the angular momentum loss. The proposal is self-contained and involves only the null infinity data.
title Supertranslation ambiguity in post-Minkowskian expansion
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2406.07943