2016/05/26 by Kentaro Tanabe, Tanabe, Kentaro · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.1605.08116
21 pages, 1 figure, Ancillary Mathematica notebook contains effective equations at NNLO
arxiv created 2016/05/26 · openalex publication_date 2016/05/26 · arxiv updated 2016/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the inverse dimensional expansion method we study the elastic instability of black rings found recently in numerical analysis of fully nonlinear dynamical evolutions. In our analysis we should perform 1/D1/2 expansions, not usual 1/D expansions, of the Einstein equations to capture this elastic instability of D dimensional black rings. By solving the Einstein equations at large D we obtain the effective equations for black rings, and the perturbation analysis of the large D effective equations with 1/D1/2 expansions yields the formula for quasinormal mode frequencies. From this formula, we find that black rings actually suffer from both elastic and Gregory-Laflamme like instabilities. These instabilities are coupled and appear at the same time as observed in numerical analysis. The elastic instability does disappear at the infinite limit of a ring radius, which implies that the (boosted) black string is stable to elastic perturbations. Furthermore we observe that the Gregory-Laflamme like instability becomes more efficient than the elastic instability even for certain thin black rings in enough higher dimensions.