Two fermions in the near horizon of BTZ black hole

Güvendi A.

5th international istanbul scientific research congrees, İstanbul, Turkey, 14 - 15 August 2021, vol.1, pp.300-305

  • Publication Type: Conference Paper / Full Text
  • Volume: 1
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.300-305
  • Kütahya Health Sciences University Affiliated: Yes

Abstract

We study on two fermions system in the near horizon of Banados-Teitelboim-Zanelli (BTZ) black hole

by using a fully-covariant two-body Dirac equation. Without considering any interaction between two

fermions we solve the corresponding form of this two-body equation. By assuming the center-of-mass

of this composite system is at rest at the near horizon of BTZ black hole, we obtain exact solution of the

corresponding equation. This solution provides a purely imaginary frequency spectrum and accordingly

we obtain Hawking temperature of the BTZ black hole. We discuss the obtained resonance modes by

comparing the previously published results in the literature.