On asymptotically flat algebraically special spacetimes in higher dimensions

Details On asymptotically flat algebraically special spacetimes in higher dimensions On asymptotically flat algebraically special spacetimes in higher dimensions

2009-07-10

arxiv.org/abs/0907.1780v2

Phys.Rev.D80:084041,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, references added

Scientific paper

10.1103/PhysRevD.80.084041

We analyze asymptotic properties of higher-dimensional vacuum spacetimes admitting a "non-degenerate" geodetic multiple WAND. After imposing a fall-off condition necessary for asymptotic flatness, we determine the behaviour of the Weyl tensor as null infinity is approached along the WAND. This demonstrates that these spacetimes do not "peel-off" and do not contain gravitational radiation (in contrast to their four-dimensional counterparts). In the non-twisting case, the uniqueness of the Schwarzschild-Tangherlini metric is also proven.

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