量纲分析在引力波物理中的应用

Application of dimensional analysis in gravitational wave physics

流体力学是许多量纲分析书中讲解最多的物理问题.但实际上,量纲分析是物理学中功能强大、普适性强的一种分析方法.本文以量纲分析在引力波物理中的应用为例子,让读者深入体会量纲分析方法的普适性.特别地,在双黑洞并合系统的引力波理论模板建立过程中,双黑洞总质量被当作是无关紧要的物理参数.其原因在通常文献中只是若明若暗的被提及.本文用量纲分析的方法展示,上述结论即使是对于超越广义相对论的一般引力理论也是成立的.所以本文不仅清楚地论述了上述结论在广义相对论框架下成立的理由,还为以后基于超越广义相对论的一般引力理论建立引力波理论模板提供一些帮助.

Fluid mechanics is a physics problem that most books on dimensional analysis explain most. However , the dimensional analysis is a powerful and universal analysis method in physics. Taking the application of dimensional analysis in gravitational wave physics as an example, this paper makes readers deeply understand the universality of the dimensional analysis method. In particular, the total mass of a binary black hole is regarded as an uneccential physical parameter in the process of constructing the theoretical template of gravitational wave for the binayr black holes system. The reason is rarely mentioned in the usual literature. The method of dimensional analysis is used to show that the above conclusions are valid even for the gravitational theory beyond general relativity . Therefore, this paper not only clearly expounds the reasons why the above conclusion holds in the framework of general relativity, but also provides some guidelines for the establishment of the theoretical template of gravitational wave based on the gaviational theory beyond general relativity.