ON ASYMPTOTICALLY FLAT ALGEBRAICALLY SPECIAL SPACETIMES IN HIGHER DIMENSIONS

Asymptotic properties of higher-dimensional asymptotically flat vacuum spacetimes admitting a “non-degenerate” geodetic multiple WAND are analyzed. Behaviour of the Weyl tensor is determined as null infinity is approached along the multiple WAND. It follows that in contrast with the four-dimensional case these spacetimes do not contain gravitational radiation and that peeling theorem does not hold for them.