Spinning Dilaton Black Holes in 2 +1 Dimensions: Quasi-normal Modes and the Area Spectrum

TL;DR

This paper analyzes the quasinormal modes and area spectrum of spinning dilaton black holes in 2+1 dimensions, showing exact solutions for scalar perturbations and demonstrating an equally spaced area spectrum.

Contribution

It provides exact solutions for scalar perturbations and computes quasinormal modes for spinning dilaton black holes, revealing an equally spaced area spectrum.

Findings

Exact hypergeometric solutions for scalar wave equations

Computed quasinormal frequencies for slowly spinning black holes

Found the area spectrum to be equally spaced

Abstract

We have studied the perturbation of a spinning dilaton black hole in 2 +1 dimensions by a massless scalar field. The wave equations of a massless scalar field is shown to be exactly solvable in terms of hypergeometric functions. The quasinormal frequencies are computed for slowly spinning black holes. The stability of the black hole is discussed. The asymptotic form of the quasinormal frequencies are evaluated. The area spectrum of the quantum black holes are evaluated by using the asymptotic quasi-normal frequencies and is shown to be equally-spaced.