Kerr-CFT and gravitational perturbations

2009/06/12 by Oscar J. C. Dias, Óscar J.C Dias, Harvey S. Reall +3 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/08/101

published as JHEP 0908:101,2009 · 37 pages. 8 figures

arxiv created 2009/06/12 · openalex publication_date 2009/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Black hole in three-dimensional spacetime
• Stability of gravity with a cosmological constant
• On the proof of the positive mass conjecture in general relativity
• Perturbations of a rotating black hole. III - Interaction of the hole with gravitational and electromagnetic radiation
• Extremal Kerr black hole/CFT correspondence in the five-dimensional Gödel universe
• A new proof of the positive energy theorem
• Topologically massive gauge theories

Cited by

• Cardy & Kerr
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Near Horizon Extremal Geometry Perturbations: Dynamical Field Perturbations vs. Parametric Variations