Flat-Space Holography and Stress Tensor of Kerr Black Hole

TL;DR

This paper develops a stress tensor for Kerr black holes using flat-space holography, confirming the Flat/CCFT correspondence by matching physical quantities like mass and angular momentum.

Contribution

It introduces a new stress tensor for Kerr black holes in flat space derived from the Kerr-AdS limit, supporting the Flat/CCFT holographic framework.

Findings

The proposed stress tensor correctly reproduces Kerr black hole mass and angular momentum.

Energy-momentum tensor components of the CCFT are consistent with holographic calculations.

The work confirms the validity of the Flat/CCFT correspondence for Kerr black holes.

Abstract

We propose a stress tensor for the Kerr black hole written in the Boyer-Lindquist coordinate. To achieve this, we use the dictionary of the Flat/CCFT correspondence and take the flat-space limit from the quasi-local stress tensor of the four-dimensional Kerr-AdS black hole. The proposed stress tensor yields the correct values for the mass and angular momentum of the Kerr black hole at spatial infinity. We also calculate some components of the energy momentum tensor of the three dimensional CCFT and show that they are consistent with the holographic calculation of the Kerr black hole. The calculation we present in this paper is another confirmation for the Flat/CCFT proposal.