Asymptotic flatness at spatial infinity in higher dimensions
Kentaro Tanabe, Norihiro Tanahashi, Tetsuya Shiromizu
Source abstract
A definition of asymptotic flatness at spatial infinity in d dimensions (d≥4) is given using the conformal completion approach. Then we discuss asymptotic symmetry and conserved quantities. As in four dimensions, in d dimensions we should impose a condition at spatial infinity that the “magnetic” part of the d-dimensional Weyl tensor vanishes at a faster rate than the “electric” part does in order to realize the Poincare symmetry as asymptotic symmetry and construct the conserved angular momentum. However, we found that an additional condition should be imposed in d>4 dimensions.
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