Flat-Space Holography and Stress Tensor of Kerr Black Hole

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.

17 pages, V2: New section added, using a field theoretic approach the same results obtained

References in corpus (7)

• The BMS/GCA correspondence
• Stress tensor correlators in three-dimensional gravity
• On AdS/CFT of Galilean Conformal Field Theories
• Note on counterterms in asymptotically flat spacetimes
• Liouville theory beyond the cosmological horizon
• Holography of 3D Asymptotically Flat Black Holes
• Rindler/Contracted-CFT Correspondence

Cited by in corpus (9)

• Flat holography and Carrollian fluids
• BMS Particles in Three Dimensions
• The Holographic Nature of Null Infinity
• BMS Group at Spatial Infinity: the Hamiltonian (ADM) approach
• The BMS4 algebra at spatial infinity
• Complexity Growth in Flat Spacetimes
• First Law of Entanglement Entropy in Flat-Space Holography
• Stress Tensor Correlators of CCFT${}_2$ using Flat-Space Holography
• Flat-space Holography and Correlators of Robinson-Trautman Stress tensor