Dynamics and Stability of Black Rings

Details Dynamics and Stability of Black Rings Dynamics and Stability of Black Rings

2006-08-11

arxiv.org/abs/hep-th/0608076v3

JHEP0612:074,2006

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 17 figures; v2: conclusions concerning radial stability corrected + new appendix + refs added; v3: additional commen

Scientific paper

10.1088/1126-6708/2006/12/074

We examine the dynamics of neutral black rings, and identify and analyze a selection of possible instabilities. We find the dominating forces of very thin black rings to be a Newtonian competition between a string-like tension and a centrifugal force. We study in detail the radial balance of forces in black rings, and find evidence that all fat black rings are unstable to radial perturbations, while thin black rings are radially stable. Most thin black rings, if not all of them, also likely suffer from Gregory-Laflamme instabilities. We also study simple models for stability against emission/absorption of massless particles. Our results point to the conclusion that most neutral black rings suffer from classical dynamical instabilities, but there may still exist a small range of parameters where thin black rings are stable. We also discuss the absence of regular real Euclidean sections of black rings, and thermodynamics in the grand-canonical ensemble.

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