Quasibound states for a scalar field under the influence of an external magnetic field in the near-horizon geometry of the BTZ black hole with torsion

TL;DR

This paper analytically investigates quasibound states of a charged scalar field in the near-horizon geometry of a BTZ black hole with torsion, revealing how external magnetic fields influence mode stability and decay.

Contribution

It provides an analytical solution for the Klein-Gordon equation in this specific geometry, demonstrating the magnetic field's effect on quasibound state spectra and stability.

Findings

Real oscillation frequencies depend on magnetic field strength.

Decay times of modes increase with stronger magnetic fields.

The geometric background remains stable under the perturbation.

Abstract

We consider a charged scalar field under the effect of an external uniform magnetic field in the near-horizon geometry of the Banados-Teitelboim-Zanelli black hole with torsion and obtain quasi-stationary states of the system under consideration through obtaining analytical solution of the corresponding Klein-Gordon equation. We obtain the solution function of the equation and accordingly we arrive at a complex spectra. We observe that the real oscillation frequency of the modes and their decay time depends on the strength of the external magnetic field besides the parameters of the geometric background. We see that the amplitude of the real oscillation modes decreases and the decay time of the modes becomes longer as the strength of the external magnetic field increases. The results also indicate that the geometric background is stable under such a perturbation field.