No dynamics in the extremal Kerr throat
By A. Amsel, G. Horowitz, D. Marolf, M. Roberts. 2009
161 citations recorded by the source corpus.
Motivated by the Kerr/CFT conjecture, we explore solutions of vacuum general relativity whose asymptotic behavior agrees with that of the extremal Kerr throat, sometimes called the Near-Horizon Extreme Kerr (NHEK) geometry. We argue that all such solutions are diffeomorphic to the NHEK geometry itself. The logic proceeds in two steps. We first argue that certain charges must vanish at all times for any solution with NHEK asymptotics. We then analyze these charges in detail for linearized solutions. Though one can choose the relevant charges to vanish at any initial time, these charges are not conserved. As a result, requiring the charges to vanish at all times is a much stronger condition. We argue that all solutions satisfying this condition are diffeomorphic to the NHEK metric.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fb16ed74db06bb7e9158c198725c550d8a936031
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Citations in the corpus
- Black hole superradiance from Kerr/CFT (2009, methodology): “(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].”
- Holographic derivation of Kerr-Newman scattering amplitudes for general charge and spin (2009, background): “10) Slightly generalizing the near-horizon tetrad of [15], in the basis (t, r, θ, φ) we use”
- Near Extremal Kerr Entropy from AdS(2) Quantum Gravity (2009, background): “We discuss the extreme and near extreme Kerr entropy.”