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Jackiw-Teitelboim Gravity and Rotating Black Holes
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abstract
We show that the free energy at low temperatures for near-extremal black holes is correctly obtained from the Jackiw-Teitelboim (JT) model of gravity. Our arguments apply to all black holes, including rotating ones, whose metric has a near-horizon $\mathrm{AdS}_2$ factor and the associated $\mathrm{SL}(2,\mathbb{R})$ symmetry. We verify these arguments by explicit calculations for rotating black holes in $4$ and $5$ dimensions. Our results suggest that the JT model could prove useful in analysing the dynamics of near-extremal Kerr black holes found in nature.
Forward citations
Cited by 3 Pith papers
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Projecting Gravitational Fluctuations onto Near-Horizon Throats
A pair of coordinate changes projects Heun-type gravitational fluctuation equations onto two matched hypergeometric problems, reproducing instanton-counting results and yielding Schwarzian zero modes.
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Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordstr\"om-AdS black hole
Schwarzian quantum fluctuations raise the shear viscosity of near-extremal Reissner-Nordström-AdS4 black holes above s/4π by a positive O(1/(CT)^2) correction and are argued to lift the classical T=0 gapless shear mode.
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The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap
Near-BPS AdS4 Kerr-Newman black holes are described by an SU(1,1|1) super-Schwarzian theory, yielding a predicted mass gap of order N^{-3/2} and a continuous spectrum above it in ABJM.
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