Jackiw-Teitelboim Gravity and Rotating Black Holes

TL;DR

The paper demonstrates that the JT gravity model captures the leading low-temperature free energy of near-extremal black holes, including rotating solutions, whenever the near-horizon geometry contains an AdS2 factor with SL(2,R) symmetry. By performing dimensional reductions and identifying the JT parameters (̃G and J) from the higher-dimensional theories, the authors show that the JT action governs the near-horizon contributions to the on-shell action, while far-region effects map to boundary terms that are consistent with JT dynamics. They validate the general argument with explicit calculations for near-extremal Kerr black holes in 4D and 5D AdS spacetimes, as well as for near-extremal RN-like systems, and discuss extensions to theories with multiple gauge fields and scalars. The results suggest wide applicability of a JT-based description for the dynamics of fast-spinning near-extremal black holes and illuminate a concrete path toward a near-AdS2/near-CFT1 correspondence for rotating systems. The work also notes potential implications for astrophysical Kerr physics and possible fluid-gravity-like descriptions at low frequencies.

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.