Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT proposal

Abstract

The hidden Kerr/CFT proposal implies that the massless scalar wave equation in the near-region and low-frequency limit respects a hidden SL(2,R)$\times$SL(2,R) invariance in the Kerr black hole spacetime. We may use this symmetry to determine quasinormal frequencies (QNFs) of the massless scalar wave propagating around the Kerr black hole algebraically. It is shown that QNFs obtained using the hidden conformal symmetry near the horizon correspond approximately to not only those of scalar perturbation around the near-horizon region of a nearly extremal Kerr (NEK) black hole, but also those of non-equatorial scalar modes around the NEK black hole. This indicates that the hidden Kerr/CFT proposal could determine quasinormal modes and frequencies of the massless scalar wave around the NEK (rapidly rotating) black hole approximately.

1+25 pages, 1 figure, revised version to appear in GERG

References in corpus (9)

• Slow relaxation of rapidly rotating black holes
• Cargese Lectures on the Kerr/CFT Correspondence
• Branching of quasinormal modes for nearly extremal Kerr black holes
• Black Hole Scattering from Monodromy
• Hidden Conformal Symmetry and Quasi-normal Modes
• Quasinormal modes and hidden conformal symmetry in the Reissner-Nordstrom black hole
• A note on the hidden conformal structure of non-extremal black holes
• Scaling dimensions in hidden Kerr/CFT
• Quasinormal frequencies using the hidden conformal symmetry of the Schwarzschild black hole