2014/02/28 by Roberto Emparan, Ryotaku Suzuki, Kentaro Tanabe · 59 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Class (philosophy) #Instability #Inverse #Pulsars and Gravitational Waves Research #Quasinormal mode #Rotational symmetry #Stability (learning theory) #Universality (dynamical systems) #gr-qc #hep-th
paper · pdf · open access · doi:10.1007/jhep06(2014)106
published in Journal of High Energy Physics 2014(6) (Springer Nature) · 38 pages, 14 figures. v3: NLO results included so the instability is shown to occur before the ultraspinning regime of rotation. Significant improvements in accuracy. Ancillary Mathematica notebook contains details of NLO results
arxiv created 2014/05/15 · openalex publication_date 2014/06/01 · openalex created_date 2016/06/24 · arxiv updated 2022/03/07 · openalex updated_date 2026/08/05
We study the stability of odd-dimensional rotating black holes with equal angular momenta by performing an expansion in the inverse of the number of dimensions D. Universality at large D allows us to calculate analytically the complex frequency of quasinormal modes to next-to-leading order in the expansion. We identify the onset of non-axisymmetric, bar-mode instabilities at a specific finite rotation, and axisymmetric instabilities at larger rotation. The former occur at the threshold where the modes become superradiant, and before the ultraspinning regime is reached. Our results fully confirm the picture found in numerical studies, with very good quantitative agreement. We extend the analysis to the same class of black holes in Anti-deSitter space, and find the same qualitative features. We also discuss the appearance at high frequencies of the universal set of (stable) quasinormal modes.