Kerr-CFT and gravitational perturbations

Details Kerr-CFT and gravitational perturbations Kerr-CFT and gravitational perturbations

2009-06-12

arxiv.org/abs/0906.2380v1

JHEP 0908:101,2009

Physics

High Energy Physics

High Energy Physics - Theory

37 pages. 8 figures

Scientific paper

10.1088/1126-6708/2009/08/101

Motivated by the Kerr-CFT conjecture, we investigate perturbations of the near-horizon extreme Kerr spacetime. The Teukolsky equation for a massless field of arbitrary spin is solved. Solutions fall into two classes: normal modes and traveling waves. Imposing suitable (outgoing) boundary conditions, we find that there are no unstable modes. The explicit form of metric perturbations is obtained using the Hertz potential formalism, and compared with the Kerr-CFT boundary conditions. The energy and angular momentum associated with scalar field and gravitational normal modes are calculated. The energy is positive in all cases. The behaviour of second order perturbations is discussed.

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