Charged scalar waves from the RN/CFT correspondence

TL;DR

This paper tests the RN/CFT correspondence by comparing decay rates of charged scalar waves around Reissner-Nordström black holes with CFT predictions, finding precise matches that support the duality.

Contribution

It provides new quantitative tests of the RN/CFT correspondence by computing and matching decay rates of charged scalar waves.

Findings

Decay rates match precisely between gravity and CFT calculations

Supports the validity of RN/CFT duality for non-extremal black holes

Enhances understanding of black hole perturbations in the context of holography

Abstract

We examine new tests for (non-)extremal Reissner-Nordstr\"om/Conformal field theory correspondences (RN/CFT) in this paper. The decay rate of the charged scalar wave sourced by an orbiting star around the black hole is computed and is compared with the decay rate computed in the corresponding CFT. We find that precise matches are achieved.