Abstract
We consider the memory effect in even dimensional spacetimes of dimension arising from a burst of gravitational radiation. When , 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 , this supertranslation and the corresponding memory effect vanish. Consequently, when , it is natural to impose stronger asymptotic conditions at null infinity that reduce the asymptotic symmetry group to the Poincaré group. Conversely, when , the asymptotic symmetry group at null infinity must be taken to be the BMS group.
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