Probing the BTZ black hole with test fields

TL;DR

This paper investigates the dynamical responses of the BTZ black hole to various test scalar fields, analyzing decay rates and stability, and highlights the potential significance of tachyon fields in understanding black hole properties.

Contribution

It introduces multiple test scalar fields to probe the BTZ black hole's dynamics and examines their decay and stability, revealing the relevance of tachyon fields.

Findings

Tachyon fields may provide important insights into BTZ black hole properties.

Decay rates depend on boundary conditions at spatial infinity.

Stability analysis varies with different scalar field couplings.

Abstract

We introduce a set of scalar fields as test fields to study the dynamical behaviors of the BTZ (Banados-Teitelboim-Zanelli) black hole. These include minimally coupled scalar, conformally coupled scalar, dilaton, and tachyon. To calculate the decay rate of the BTZ black hole, we consider both the Dirichlet boundary condition at spatial infinity and the stability condition. It turns out that the tachyon may be a relevant field to get information of the BTZ black hole.