Gravitational waves of nonextremal Kerr black holes from conformal symmetry

TL;DR

This paper demonstrates the holographic duality between nonextremal Kerr black holes and conformal field theories by matching scalar and gravitational radiation calculations from gravity and CFT perspectives, supporting holography in gravitational wave analysis.

Contribution

It provides the first detailed comparison of scalar and gravitational radiation from nonextremal Kerr black holes with dual CFT predictions, confirming the holographic conjecture.

Findings

Scalar radiation matches between gravity and CFT calculations.

Gravitational radiation results also agree across both frameworks.

Supports the use of holography as a tool for gravitational wave analysis.

Abstract

In the low-energy limit, the near region of a generic Kerr black hole has been conjectured to be holographically dual to a two-dimensional conformal field theory. In this paper, we consider a test object orbiting in the near region of a nonextremal Kerr black hole. We first couple it to a massless scalar field. The resulting scalar radiation at the horizon is computed from the perspectives of gravity and dual conformal field theory. Considering the influence of nonzero temperature, the agreement of both computations is found. Then, we generalize the analysis to the gravitational radiation and find agreement again. The agreement supports the conjectured holography and provides a potential theoretical tool for gravitational wave computations.