Gravitational perturbations of higher dimensional rotating black holes: Tensor perturbations

Hari K. Kunduri, James Lucietti, Harvey S. Reall

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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 end point of the instability may be a stationary, nonaxisymmetric black hole.

Original languageEnglish
Article number084021
Pages (from-to)-
Number of pages19
JournalPhysical Review D
Issue number8
Publication statusPublished - Oct 2006

Keywords / Materials (for Non-textual outputs)

  • Black holes
  • Anti de Sitter space


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