Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings
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.
Keywords
Cite
@article{arxiv.1402.6345,
title = {Rings, Ripples, and Rotation: Connecting Black Holes to Black Rings},
author = {Oscar J. C. Dias and Jorge E. Santos and Benson Way},
journal= {arXiv preprint arXiv:1402.6345},
year = {2015}
}
Comments
14 pages. 8 figures. v2: Appendix with discussion of numerical details and references added. Matches published version