On asymptotically flat algebraically special spacetimes in higher dimensions

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Ortaggio, Marcello
Pravda, Vojtech
Pravdova, Alena
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Abstract
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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.
Comment: 6 pages, references added
Keywords
General Relativity and Quantum Cosmology, High Energy Physics - Theory
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