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引力电、引力磁与引力波

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  • 1. 湖南第一师范学院 数学与统计学院,湖南 长沙410205;2. 北京师范大学 天文系,北京100875
何孝凯(1981—),男,安徽巢湖人,湖南第一师范学院数学与统计学院副教授,博士,主要从事数学物理的教学和相关研究工作.

网络出版日期: 2024-01-16

基金资助

湖南省青年骨干教师专项经费;中央高校基本科研业务费专项资金资助


Gravitoelectric field, gravitomagnetic field and gravitational wave

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  • 1. School of Mathematics and Statistics, Hunan First Normal University, Changsha, Hunan 410205, China; 
    2. Department of Astronomy, Beijing Normal University, Beijing 100875, China

Online published: 2024-01-16

摘要

在很多教科书中,引力波被描述为平直时空的微扰. 弱场近似下引力相互作用可以描述为类似麦克斯韦方程的形式,对应引力电和引力磁的概念.这里的弱引力场自然对应平直时空的微扰.由于引力波和引力电、引力磁都可对应于平直时空的微扰,我们很自然会联想引力波和引力电、引力磁的关系. 本文分析表明,引力电、引力磁对应引力源近场区的行为,但无法描述远场区的波动行为.也就是说,通常文献中的引力电、引力磁不能描述引力波行为.

本文引用格式

何孝凯, 曹周键 . 引力电、引力磁与引力波[J]. 大学物理, 2023 , 42(12) : 33 . DOI: 10.16854/j.cnki.1000-0712.230128

Abstract

 In many textbooks, gravitational waves are described as perturbations of flat spacetime. Under the weak field approximation, gravitational interactions can be described in a similar form to the Maxwell equation, corresponding to the concepts of gravitational electricity and gravitational magnetism. The weak gravitational field naturally corresponds to the perturbation of flat spacetime. Due to the fact that gravitational waves, gravitational electricity, and gravitational magnetism can be described as perturbations of flat spacetime, it is interesting to ask the relationship between gravitational waves, gravitational electricity, and gravitational magnetism. The analysis in this article indicates that gravitational electricity and gravitational magnetism correspond to the behavior of the near region of the gravitational source, but cannot describe the wave behavior in the far region. That is to say, the gravitational electricity and gravitational magnetism commonly used in literature cannot describe the behavior of gravitational waves. 

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