Mathematics – Logic
Scientific paper
Sep 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1359k&link_type=abstract
"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an
Mathematics
Logic
Scientific paper
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. Such black exhibit enhanced symmetry: they are cohomogeneity-one solutions. This allows gravitational perturbations to be decomposed into scalar, vector and tensor types. The equations of motion for tensor perturbations reduce to a single radial equation. In the asymptotically flat case we find no evidence of any instability associated with tensor perturbations. 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.
Kunduri Hari K.
Lucietti James
Reall Harvey S.
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