Gravitational radiations of Kerr black hole from warped symmetries

TL;DR

This paper investigates the connection between warped conformal symmetries and Kerr black hole perturbations, providing holographic calculations that support the relevance of warped CFT in describing Kerr black hole microstates.

Contribution

It demonstrates the application of warped conformal symmetries to compute Green's functions and absorption probabilities for Kerr black hole perturbations, linking them to warped CFT.

Findings

Holographic calculations match known Kerr black hole perturbation results

Warped CFT provides a consistent framework for Kerr microstate description

Further evidence supports warped CFT's relevance to black hole microphysics

Abstract

The warped conformal symmetries have been found in the covariant phase space of a set of non-trivial diffeomorphism near the Kerr black hole horizon. In this paper, we consider the retarded Green's function and the absorption probability for the scalar and higher spin perturbations on a generic non-extreme Kerr black hole background, and perform their holographic calculations in terms of the warped CFT. This provide further evidence on the conjecture that the warped CFT is relevant to the microstate description of the Kerr black hole.