Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0606076,
title = {Gravitational Perturbations of Higher Dimensional Rotating Black Holes: Tensor Perturbations},
author = {Hari K. Kunduri and James Lucietti and Harvey S. Reall},
journal= {arXiv preprint arXiv:hep-th/0606076},
year = {2009}
}
Comments
latex, 29 pages, 5 figures. v2 reference added. v3 title changed, note added on classification of perturbations (this paper deals with the most general tensor perturbations)