Two fermions in the near horizon of BTZ black hole
5th international istanbul scientific research congrees, İstanbul, Türkiye, 14 - 15 Ağustos 2021, cilt.1, ss.300-305, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası: 1
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.300-305
- Kütahya Sağlık Bilimleri Üniversitesi Adresli: Evet
Özet
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.