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arXiv 1704.03232gr-qchep-th
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引力Action中联合项的评注

Comments on Joint Terms in Gravitational Action

Shan-Ming Ruan, Run-Qiu Yang

摘要:

比较了用Dirichlet边界条件中的变分原理确定联合项、将联合项看作光滑边界的极限贡献以及用局部SO(1,$d-1$)变换确定联合项的三种不同方法。在一般度规引力理论中,我们证明了在固定边界条件下,这些联合项之间的差是某些变分不变量。给出了由变分原理确定的联合项存在的一个显式判别条件,并将其应用于广义相对论中。

英文摘要:

This paper compares three different methods about computing joint terms in on-shell action of gravity, which are identifying the joint term by the variational principle in Dirichlet boundary condition, treating the joint term as the limit contribution of smooth boundary and finding the joint term by local SO(1,$d-1$) transformation. In general metric gravitational theory, we show that the differences between these joint terms are some variational invariants under fixed boundary condition. We also give an explicit condition to judge the existence of joint term determined by variational principle and apply it into general relativity as an example.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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