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Rotating black holes and black bars at large D
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abstract
We propose and demonstrate a new and efficient approach to investigate black hole dynamics in the limit of large number of dimensions $D$. The basic idea is that an asymptotically flat black brane evolving under the Gregory-Laflamme instability forms lumps that closely resemble a localized black hole. In this manner, the large-$D$ effective equations for extended black branes can be used to study localized black holes. We show that these equations have exact solutions for black-hole-like lumps on the brane, which correctly capture the main properties of Schwarzschild and Myers-Perry black holes at large $D$, including their slow quasinormal modes and the ultraspinning instabilities (axisymmetric or not) at large angular momenta. Furthermore, we obtain a novel class of rotating `black bar' solutions, which are stationary when $D\to\infty$, and are long-lived when $D$ is finite but large, since their gravitational wave emission is strongly suppressed. The leading large $D$ approximation reproduces to per-cent level accuracy previous numerical calculations of the bar-mode growth rate in $D=6,7$.
Forward citations
Cited by 4 Pith papers
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Size and Shape of Rotating Strings and the Correspondence to Black Holes
The perpendicular-to-parallel size ratio of highly excited rotating strings agrees with rotating black holes at small angular momentum, with a random-walk model reproducing the sizes at all spins.
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Black Hole Ringdown Nonlinearities in the Large-D Limit
In the large-D limit, analytic third-order nonlinear corrections to quasinormal modes improve ringdown modeling accuracy by several orders of magnitude for head-on black hole collisions.
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The Fate of Instability of de Sitter Black Holes at Large $D$
At large D, RN-dS and GB-dS black holes evolve to stationary lumpy solutions on the instability threshold, and in the unstable region their mass localizes into spot-like or ring-like configurations.
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Black hole collisions, instabilities, and cosmic censorship violation at large D
In the large-D approximation, sufficiently spinning black hole mergers form rotating bars whose Gregory-Laflamme-like pinch-off outruns gravitational spin-down for D around 8 or larger, suggesting naked singularity formation.
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