Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence

TL;DR

This paper links Choptuik scaling in three-dimensional BTZ black holes to quasinormal modes, providing a new interpretation of black hole critical phenomena through the AdS/CFT correspondence.

Contribution

It establishes an exact relationship between Choptuik scaling and quasinormal mode frequencies in the context of AdS/CFT, offering a novel perspective on black hole dynamics.

Findings

Choptuik scaling parameter is connected to quasinormal mode imaginary parts.

Interpretation of black hole critical phenomena in terms of dual CFT relaxation times.

Provides a new analytical link between gravitational collapse and field theory dynamics.

Abstract

We establish an exact connection between the Choptuik scaling parameter for the three-dimensional BTZ black hole, and the imaginary part of the quasinormal frequencies for scalar perturbations. Via the AdS/CFT correspondence, this leads to an interpretation of Choptuik scaling in terms of the timescale for return to equilibrium of the dual conformal field theory.