Tomograms of Spinning Black Holes

TL;DR

This paper investigates the internal structure of spinning BTZ black holes using gauge theory correlators, revealing insights into the Cauchy horizon and supporting cosmic censorship.

Contribution

It introduces a thermal correlator construction for spinning BTZ black holes derived from geodesics, enabling interior probing via gauge theory.

Findings

Correlators can probe the Cauchy horizon in spinning black holes.

The structure of correlators near the Cauchy horizon resembles that near the singularity in non-rotating cases.

Regions beyond the Cauchy horizon remain unprobed, consistent with cosmic censorship.

Abstract

The classical internal structure of spinning black holes is vastly different from that of static black holes. We consider spinning BTZ black holes, and probe their interior from the gauge theory. Utilizing the simplicity of the geometry and reverse engineering from the geodesics, we propose a thermal correlator construction which can be interpreted as arising from two entangled CFTs. By analytic continuation of these correlators, we can probe the Cauchy horizon. Correlators that capture the Cauchy horizon in our work have a structure closely related to those that capture the singularity in a non-rotating BTZ. As expected, the regions beyond the Cauchy horizon are not probed in this picture, protecting cosmic censorship.