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Kerr-CFT and gravitational perturbations
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Kerr-CFT and gravitational perturbations
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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.
Forward citations
Cited by 2 Pith papers
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Resumming Kerr Quasinormal-Mode Frequencies: Accuracy and Breakdown Near Extremality
Padé-resummed high-order WKB yields sub-10^{-7} Kerr QNM errors for damped modes up to a=0.99, but breaks down for zero-damped modes because near-horizon poles spoil the local peak expansion.
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Monodromy, Hidden Conformal Symmetry and Soft Hair in Kerr-MOG Black Hole
Kerr-MOG black holes are claimed to admit a 2D CFT dual with temperatures TL and TR and central charge 12J, reproducing the Bekenstein-Hawking entropy and scalar absorption cross section.
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