GRAVITATIONAL PERTURBATIONS OF HIGHER DIMENSIONAL ROTATING BLACK HOLES

By Hari K. Kunduri, James Lucietti, Harvey Reall. 2006

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Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd number of dimensions (greater than five), allowing for a cosmological constant. We find a class of perturbations for which the equations of motion reduce to a single radial equation. In the asymptotically flat case we find no evidence of any instability. In the asymptotically anti-de Sitter case, we demonstrate the existence of a superradiant instability that sets in precisely when the angular velocity of the black hole exceeds the speed of light from the point of view of the conformal boundary. We suggest that the endpoint of the instability may be a stationary, nonaxisymmetric black hole.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5a0e28bf5e783e6fb6d2f1075d071665b6e96270

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Citations in the corpus

On the nonlinear stability of asymptotically anti-de Sitter solutions (2012, methodology): “ x. A remarkable (and very useful) property of the equal angular momenta MP black hole is that all the information about the eigenfunctions Y ‘m(x) and its associated eigenvalues are known explicitly [27, 26]. This situation is to be contrasted with the Kerr-AdS or single spinning MP cases where the”
Gravitational turbulent instability of anti-de Sitter space (2011, background): “Another way to construct black holes with only a single Killing field is through the superradiant instability of Kerr AdS black holes with L H > 1 [10].”
Black Holes in Higher Dimensions (2008, background): “There are two different approaches to this problem, one for N > 1 [177] and one for N = 1 (i.”
Black holes with only one Killing field (2011, methodology): “It is well know that Kerr-AdS black holes, and their natural extension to higher dimensions [15], exhibit the superradiance instability [4, 11], [28]-[32].”
Numerical methods for finding stationary gravitational solutions (2015, background): “[305] H.”
Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, background): “These ideas were first proposed in [39] and further developed in [40, 19].”
Black rings in (Anti)-de Sitter space (2008, background): “ions an angular velocity ΩHL>1 was argued in [15] to be associated with the existence of ergoregions relative to asymptotic observers, which in AdS are believed to yield a superradiant instability [16, 17]. Certainly we expect our thin black rings to possess these ergoregions6 and thus they shoul”