Quasinormal Modes and Choptuik Scaling in the Near Extremal Reissner-Nordstr{\"o} Black Hole

TL;DR

This paper investigates the quasinormal modes of scalar and fermion fields in near extremal Reissner-Nordström black holes, linking them to Choptuik scaling and revealing universal behaviors and differences across models.

Contribution

It provides an analytic study connecting quasinormal modes to Choptuik scaling in near extremal black holes, highlighting universal critical exponents and mode behaviors.

Findings

Quasinormal modes are proportional to the horizon and Hawking temperature.

Critical exponents are consistent across massless scalar and fermion fields.

Differences in critical exponents are observed between massless and massive bosons.

Abstract

We study quasinormal modes of massless scalar and fermion fields in the near extremal Reissner-Nordstr{\"o}m black hole, and relate them to Choptuik scaling form following a recently proposed analytic approach. For both massless cases, quasinormal modes are shown to be proportional to the black hole horizon and the Hawking temperature, and the critical exponents are the same, although for the fermionic case there are two possible discrete quasinormal modes. In addition, the critical exponent of the massive boson is also equivalent to that of the massless case. Finally, we discuss quasinormal modes and critical exponents in the other models, and obtain some different critical exponents between massless boson and massive one.