Rings, ripples, and rotation: connecting black holes to black rings

Óscar J. C. Dias, Jorge E. Santos, Benson Way
2014 Journal of High Energy Physics  
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
more » ... vature 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.
doi:10.1007/jhep07(2014)045 fatcat:oqbjzmd6cjen3bpy3czzqt6jxm