Fast plunges into Kerr black holes

TL;DR

This paper analytically studies radiation from rapid plunges into near-extreme Kerr black holes using conformal symmetry, confirming the Kerr/CFT correspondence with exact gravity and CFT results.

Contribution

It provides an analytical solution for radiation from fast plunges into near-extreme Kerr black holes, demonstrating the Kerr/CFT correspondence.

Findings

Exact agreement between gravity and CFT calculations.

Analytical solutions for radiation emitted during fast plunges.

Insights into near-horizon dynamics of rapidly rotating black holes.

Abstract

Most extreme-mass-ratio-inspirals of small compact objects into supermassive black holes end with a fast plunge from an eccentric last stable orbit. For rapidly rotating black holes such fast plunges may be studied in the context of the Kerr/CFT correspondence because they occur in the near-horizon region where dynamics are governed by the infinite dimensional conformal symmetry. In this paper we use conformal transformations to analytically solve for the radiation emitted from fast plunges into near-extreme Kerr black holes. We find perfect agreement between the gravity and CFT computations.