# Jackiw-Teitelboim Gravity and Rotating Black Holes

## TL;DR

This paper demonstrates that the Jackiw-Teitelboim (JT) gravity model accurately captures the low-temperature free energy of near-extremal black holes, including rotating ones, through explicit calculations and symmetry considerations.

## Contribution

It extends the applicability of the JT model to rotating black holes with near-horizon AdS2 regions, providing a unified framework for analyzing their thermodynamics.

## Key findings

- JT model reproduces free energy for near-extremal black holes
- Explicit calculations confirm results for 4D and 5D rotating black holes
- Results suggest JT model's usefulness for Kerr black hole dynamics

## 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.