关于超平移不变洛伦兹电荷

IF 2.8 4区物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS

General Relativity and Gravitation Pub Date : 2025-02-15 DOI:10.1007/s10714-025-03381-6

Sumanta Chakraborty, S. K. Jahanur Hoque, Amitabh Virmani

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引用次数: 0

摘要

Fuentealba, Henneaux, and Troessaert （FHT）在最近的论文中给出了ADM哈密顿形式下的超平移不变洛伦兹电荷的定义，并证明了他们的定义与Chen， Wang, Yau （CWY）在零无穷远处不存在“超平移模糊性”的洛伦兹电荷的定义相匹配。在这篇简短的笔记中，受FHT分析的启发，我们写出了在类空间和类时间无穷远的贝-施密特变量中超平移不变洛伦兹电荷的表达式。基于compecomtre， Gralla, and Wei （CGW）的工作，我们给出了计算，以证明我们的超平移不变洛伦兹电荷表达式在零无穷处与CWY定义相匹配。

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On supertranslation invariant Lorentz charges

In recent papers, Fuentealba, Henneaux, and Troessaert (FHT) gave definitions for supertranslation invariant Lorentz charges in the ADM Hamiltonian formalism and showed that their definitions match with the Chen, Wang, Yau (CWY) definitions of Lorentz charges at null infinity which are free from “supertranslation ambiguities”. In this brief note, motivated by the analysis of FHT, we write expressions for the supertranslation invariant Lorentz charges in Beig–Schmidt variables at spacelike and timelike infinity. We present calculations, building upon the work of Compère, Gralla, and Wei (CGW), to show that our expressions for supertranslation invariant Lorentz charges match the CWY definitions at null infinity.

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来源期刊

General Relativity and Gravitation 物理-天文与天体物理

CiteScore

4.60

自引率

3.60%

发文量

136

审稿时长

3 months

期刊介绍： General Relativity and Gravitation is a journal devoted to all aspects of modern gravitational science, and published under the auspices of the International Society on General Relativity and Gravitation. It welcomes in particular original articles on the following topics of current research: Analytical general relativity, including its interface with geometrical analysis Numerical relativity Theoretical and observational cosmology Relativistic astrophysics Gravitational waves: data analysis, astrophysical sources and detector science Extensions of general relativity Supergravity Gravitational aspects of string theory and its extensions Quantum gravity: canonical approaches, in particular loop quantum gravity, and path integral approaches, in particular spin foams, Regge calculus and dynamical triangulations Quantum field theory in curved spacetime Non-commutative geometry and gravitation Experimental gravity, in particular tests of general relativity The journal publishes articles on all theoretical and experimental aspects of modern general relativity and gravitation, as well as book reviews and historical articles of special interest.