论文标题
五个时空维度的重力场的渐近结构：哈密顿分析
Asymptotic structure of the gravitational field in five spacetime dimensions: Hamiltonian analysis
论文作者
论文摘要
我们对高时空尺寸$ d $中重力的渐近性质进行了分析，并特别强调了$ d = 5 $的情况。我们的方法涉及空间无限，并且整个过程中都是哈密顿人。结果表明，非线性实现的渐近对称代数BMS $ _5 $包含一个四倍的角度依赖性超级翻译。研究了这个非线性代数的结构，并构建了庞加莱亚词法的介绍。研究能量的不变性。还给出了关于更高维度的评论$ d \ geq 6 $。
We develop the analysis of the asymptotic properties of gravity in higher spacetime dimensions $D$, with a particular emphasis on the case $D=5$. Our approach deals with spatial infinity and is Hamiltonian throughout. It is shown that the asymptotic symmetry algebra BMS$_5$, which is realized non linearly, contains a four-fold family of angle-dependent supertranslations. The structure of this non-linear algebra is investigated and a presentation in which the Poincaré subalgebra is linearly realized is constructed. Invariance of the energy is studied. Concluding comments on higher dimensions $D \geq 6$ are also given.
