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

Dogan S. G., Guvendi A.

EUROPEAN PHYSICAL JOURNAL PLUS, vol.1, no.1, pp.1-10, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 1 Issue: 1
  • Publication Date: 2022
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC
  • Page Numbers: pp.1-10
  • Kütahya Health Sciences University Affiliated: Yes


We consider a scalar field under the effect of external magnetic field in the near-horizon geometry of the Banados-Teitelboim-Zanelli black hole with torsion and obtain quasistationary states of the system under consideration by solving the corresponding Klein-Gordon equation. We obtain exact solution 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 depend on the strength of external magnetic field besides the parameters of geometric background. We see that amplitude of the real oscillation modes decreases and decay time of the modes becomes longer as the strength of the external magnetic field increases. The results indicate that the geometric background is stable under such a perturbation field.