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.
Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings
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abstract
Singly-spinning Myers-Perry black holes in d>5 spacetime dimensions are unstable for sufficiently large angular momentum. We numerically construct (in d=6 and d=7) two new stationary branches of lumpy (rippled) black hole solutions which bifurcate from the onset of this ultraspinning instability. We give evidence that one of these branches connects through a topology-changing merger to black ring solutions which we also construct numerically. The other branch approaches a solution with large curvature invariants. We are also able to compare the d=7 ring solutions with results from finite-size corrections to the blackfold approach, finding excellent agreement.
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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.