Flat-Space Holography and Stress Tensor of Kerr Black Hole

Understand

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.