Kerr-CFT and gravitational perturbations
High Energy Physics - Theory
2009-09-28 v1
Abstract
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.
Cite
@article{arxiv.0906.2380,
title = {Kerr-CFT and gravitational perturbations},
author = {Oscar J. C. Dias and Harvey S. Reall and Jorge E. Santos},
journal= {arXiv preprint arXiv:0906.2380},
year = {2009}
}
Comments
37 pages. 8 figures