On asymptotically flat algebraically special spacetimes in higher dimensions
General Relativity and Quantum Cosmology
2009-11-15 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.0907.1780,
title = {On asymptotically flat algebraically special spacetimes in higher dimensions},
author = {Marcello Ortaggio and Vojtech Pravda and Alena Pravdova},
journal= {arXiv preprint arXiv:0907.1780},
year = {2009}
}
Comments
6 pages, references added