Dynamical Behavior of the BTZ Black Hole
H.W. Lee, N.J. Kim, Y.S. Myung (Inje Univ.)

TL;DR
This paper analyzes the dynamical properties of the BTZ black hole within low-energy string theory, revealing how perturbations behave and decay rates are determined.
Contribution
It introduces a new gauge to fully disentangle field mixing and derives the decay rate of the BTZ black hole.
Findings
Disentangled the dilaton and other field perturbations using a new gauge.
Derived the decay rate of the BTZ black hole.
Provided insights into the dynamical stability of the black hole.
Abstract
We study the dynamical behavior of the BTZ (Banados-Teitelboim-Zanelli) black hole with the low-energy string effective action. The perturbation analysis around the BTZ black hole reveals a mixing between the dilaton and other fields. Introducing the new gauge (dilaton gauge), we disentangle this mixing completely and obtain one decoupled dilaton equation. We obtain the decay rate of BTZ black hole.
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