Scalar Perturbation of Black Holes in (2+1)-Dimensional Dilaton Gravity

TL;DR

This paper analytically investigates scalar perturbations of black holes in (2+1)-dimensional static charged dilaton gravity, demonstrating the absence of superradiance instability through radial equation analysis near the horizon and at infinity.

Contribution

It provides an analytical study of scalar perturbations in a specific lower-dimensional black hole model, highlighting stability properties.

Findings

No superradiance instability found.

Radial equation analyzed near horizon and at infinity.

Supports stability of the black hole solution.

Abstract

Scalar perturbation represented by the Klein-Gordon field equation of the system of black holes in 2+1 dimensional Static charged dilaton gravity proposed by Chan and Mann is investigated analytically. The radial equation is analyzed near horizon and at the asymptotic region to show the absence of superradiance instability.