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