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On vacuum gravitational collapse in nine dimensions
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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.
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Static vacuum metrics in (4 + 1) dimensions with {\Lambda} < 0 and squashed conformal infinity
Numerical evidence that every squashed three-sphere conformal infinity admits a unique horizonless static vacuum fill-in and a one-parameter family of black-hole fill-ins in 5D AdS.
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