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Kerr-CFT and gravitational perturbations

Kerr-CFT and gravitational perturbations
Kerr-CFT and gravitational perturbations
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.
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b

Dias, Oscar J.C., Reall, Harvey S. and Santos, Jorge E. (2009) Kerr-CFT and gravitational perturbations. JHEP, 2009, [101]. (doi:10.1088/1126-6708/2009/08/101).

Record type: Article

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.

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Published date: 26 August 2009
Additional Information: Copyright: SISSA 2009
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Local EPrints ID: 468073
URI: http://eprints.soton.ac.uk/id/eprint/468073
DOI: doi:10.1088/1126-6708/2009/08/101
PURE UUID: a63ffec6-b85b-434f-9fdf-f0bb33ebe139
ORCID for Oscar J.C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 29 Jul 2022 16:42
Last modified: 17 Mar 2024 03:35

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Contributors

Author: Oscar J.C. Dias ORCID iD
Author: Harvey S. Reall
Author: Jorge E. Santos

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