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arXiv · 0907.1780

On asymptotically flat algebraically special spacetimes in higher dimensions

Marcello Ortaggio·Vojtech Pravda·Alena Pravdova
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Abstract

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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Marcello Ortaggio, Vojtech Pravda, Alena Pravdova. 2009-11-15. On asymptotically flat algebraically special spacetimes in higher dimensions. https://doi.org/10.1103/physrevd.80.084041

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