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Similar

H. K. Kunduri, J. Lucietti and H. S. Reall, “Gravitational perturbations of higher dimensional rotating black holes: Tensor perturbations,” Phys. Rev. D 74
2006
Cited alongside, same era.
V. Asnin, D. Gorbonos, S. Hadar, B. Kol, M. Levi and U. Miyamoto, “High and Low Dimensions in The Black Hole Negative Mode,” Class. Quant. Grav. 24
Original
2007
Cited alongside, same era.
R. Emparan, T. Harmark, V. Niarchos, N. A. Obers and M. J. Rodríguez, “The Phase Structure of Higher-Dimensional Black Rings and Black Holes,” JHEP 0710
Original
2007
Cited alongside, same era.
R. Emparan and H. S. Reall, “Black Holes in Higher Dimensions,” Living Rev. Rel. 11
Original
2008
Cited alongside, same era.
K. Murata and J. Soda, “Stability of Five-dimensional Myers-Perry Black Holes with Equal Angular Momenta,” Prog. Theor. Phys. 120

Then

M. Shibata and H. Yoshino, “Nonaxisymmetric instability of rapidly rotating black hole in five dimensions,” Phys. Rev. D 81
Original
2010
Later among the works it cites.
M. Shibata and H. Yoshino, “Bar-mode instability of rapidly spinning black hole in higher dimensions: Numerical simulation in general relativity,” Phys. Rev. D 81
Original
2010
Later among the works it cites.
O. J. C. Dias, R. Monteiro and J. E. Santos, “Ultraspinning instability: the missing link,” JHEP 1108
Original
2011
Later among the works it cites.
J. Armas and N. A. Obers, “Blackfolds in (Anti)-de Sitter Backgrounds,” Phys. Rev. D 83
Original
2011
Later among the works it cites.
M. Durkee and H. S. Reall, “Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes,” Phys. Rev. D 83

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2014

Instability of rotating black holes: large D analysis

Emparan, Roberto, Suzuki, Ryotaku, Tanabe, Kentaro

Understand

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.