Kerr-CFT and gravitational perturbations

By Ó. J. Dias, Harvey Reall, Jorge E Santos. 2009

172 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/7d6156438776e4f78d74954e0121f569e43b2216

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Citations in the corpus

Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “The analysis and results should however be taken with caution, as the boundary conditions –fundamental for the analysis – were shown to be inconsistent with the field equations [268, 269].”
Black hole superradiance from Kerr/CFT (2009, background): “(3)Moreover, since gravitational backreaction of the scattering mode is higher order, we sidestep (for now) the difficult issue of infrared divergences which have a tendency to destroy the NHEK boundary conditions [4, 5, 6].”
Advanced Lectures on General Relativity (2018, unknown): “ent interest for this limit is partly due to the Kerr/CFT correspondencein 2009 [95]. The lectures are mostly based on my review (updated in Dec 2016) [96]. In particular, some of the developments of [103,131,102,132,110,15,6] were covered. Thequasi-normal modesof the Kerr black hole are reviewed in”
Numerical methods for finding stationary gravitational solutions (2015, background): “[547] O.”
Near Extremal Kerr Entropy from AdS(2) Quantum Gravity (2009, background): “We discuss the extreme and near extreme Kerr entropy.”
Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS (2013, background): “The study of gravitational perturbations in the Kerr(-AdS) near-horizon geometries was done in [85, 84].”
Superradiance (2015, result): “The analysis and results should however be taken with caution, as the boundary conditions –fundamental for the analysis – were shown to be inconsistent with the field equations [340, 341].”