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On vacuum gravitational collapse in nine dimensions

arXiv:gr-qc/0511064 · doi:10.1103/PhysRevD.72.121502

Abstract

We consider the vacuum gravitational collapse for cohomogeneity-two solutions of the nine dimensional Einstein equations. Using combined numerical and analytical methods we give evidence that within this model the Schwarzschild-Tangherlini black hole is asymptotically stable. In addition, we briefly discuss the critical behavior at the threshold of black hole formation.

4 pages, 4 figures