BMS supertranslations and memory in four and higher dimensions
BMS supertranslations and memory in four and higher dimensions
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DOI：
10.1088/1361-6382/aa777a
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发表时间：
2016-12
影响因子：
3.5
通讯作者：
S. Hollands;A. Ishibashi;R. Wald
中科院分区：
文献类型：
--
作者：
S. Hollands;A. Ishibashi;R. Wald
我们考虑在d = 4维的偶维时空中由引力辐射爆发引起的记忆效应。当d=4时，爆发前后的静止纪元中的自然帧的不同之处在于增强和超平移的组成，并且这种超平移表征了“记忆效应”，即辐射爆发产生的无限大附近的测试粒子的永久位移。然而，我们表明，当4$？> d>4，这种超平移和相应的记忆效应消失。因此，当4$？d>4，自然会在零无穷大处施加更强的渐近条件，将渐近对称群约化为庞加莱群。相反，当d=4时，在零无穷远处的渐近对称群必须取为BMS群。
We consider the memory effect in even dimensional spacetimes of dimension d⩾4 arising from a burst of gravitational radiation. When d=4, the natural frames in the stationary eras before and after the burst differ by the composition of a boost and supertranslation, and this supertranslation characterizes the ‘memory effect’, i.e. the permanent displacement of test particles near infinity produced by the radiation burst. However, we show that when 4$ ?>d>4, this supertranslation and the corresponding memory effect vanish. Consequently, when 4$ ?>d>4, it is natural to impose stronger asymptotic conditions at null infinity that reduce the asymptotic symmetry group to the Poincaré group. Conversely, when d=4, the asymptotic symmetry group at null infinity must be taken to be the BMS group.