On vacuum gravitational collapse in nine dimensions
P. Bizo\'n, T. Chmaj, A. Rostworowski, B. G. Schmidt, Z. Tabor
TL;DR
This paper investigates the vacuum gravitational collapse in nine dimensions, providing evidence for the asymptotic stability of the Schwarzschild-Tangherlini black hole and discussing critical behavior at the black hole formation threshold.
Contribution
It offers the first combined numerical and analytical analysis of vacuum collapse in nine dimensions, demonstrating black hole stability in this context.
Findings
Schwarzschild-Tangherlini black hole is asymptotically stable in nine dimensions
Evidence of critical behavior at the black hole formation threshold
Use of combined numerical and analytical methods
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.
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