Spatial infinity in higher dimensional spacetimes
Spatial infinity in higher dimensional spacetimes
Motivated by recent studies on the uniqueness or nonuniqueness of higher dimensional black hole spacetime, we investigate the asymptotic structure of spatial infinity in n-dimensional spacetimes $(n>~4).$ It turns out that the geometry of spatial infinity does not have maximal symmetry due to the nontrivial Weyl tensor ${}^{(n\ensuremath{-}1)}{C}_{\mathrm{abcd}}$ in general. …