Fermionic and Bosonic Greybody Factors as well as Quasinormal Modes for Charged Taub NUT Black Holes

Abstract

The paper studies the spinorial wave equations, namely the Dirac and the Klein-Gordon equations, as well as the greybody radiations and quasinormal modes (QNMs) of the charged Taub NUT black hole (CTNBH). To obtain fermionic greybody factors (GFs) and QNMs, we study the charged fermions by employing the Dirac equation. To this end, we use a null tetrad in the Newman-Penrose formalism. Then, we separate the Dirac equation into radial and angular sets. Using the obtained radial equations, we convert them into the typical one dimensional Schrödinger-like wave equations with the aid of tortoise coordinate and derive the effective potentials. For bosonic GFs and QNMs, we study the Klein-Gordon equation in the CTNBH geometry and obtain the radial equation. We then derive the effective potential and investigate the effect of NUT parameter on it.We show that while the fermionic QNMs and GFs individually increase with the increasing NUT parameter, the increase of bosonic GFs with increasing NUT parameter is overwhelmingly greater than that of the bosonic QNMs.

Topical Review: Greybody Factors and Quasinormal Modes for Black Holes in Various Theories -- Fingerprints of Invisibles

“…in which Moreover, in line with the same thought, GFs of the CTNBHs have recently been studied in Refs. [152] and [153], respectively. For the CTNBH [153], the charged Dirac equations [154,155] that govern the behavior of charged spin-1 2 particles are obtained with the NP formalism.…”

“…[152] and [153], respectively. For the CTNBH [153], the charged Dirac equations [154,155] that govern the behavior of charged spin-1 2 particles are obtained with the NP formalism. Similarly, the charged KG equation has been employed in order to study the GF of bosons in the CTNBH geometry.…”

“…Similarly, the charged KG equation has been employed in order to study the GF of bosons in the CTNBH geometry. For both type of charged particles, the corresponding Schrödinger like wave equations with the relevant effective potentials have been derived [153]. Thus, the effect of the NUT parameter (l) on the charged bosonic and fermionic GFs and QNMs have been thoroughly analyzed, which was the main aim of [153].…”

“…For both type of charged particles, the corresponding Schrödinger like wave equations with the relevant effective potentials have been derived [153]. Thus, the effect of the NUT parameter (l) on the charged bosonic and fermionic GFs and QNMs have been thoroughly analyzed, which was the main aim of [153]. The result obtained in [153] for the bosonic GFs emitted from the CTNBH is as follows FIG.…”

“…Thus, the effect of the NUT parameter (l) on the charged bosonic and fermionic GFs and QNMs have been thoroughly analyzed, which was the main aim of [153]. The result obtained in [153] for the bosonic GFs emitted from the CTNBH is as follows FIG. 21: σ + l (ω) versus ω graph (see Ref.…”