Greybody factor and thermal fluctuations of rotating regular black hole bounded by PFDM

The formulism of this paper helps to derive an exact form of greybody factor for rotating as well as regular black hole in the vicinity of the perfect fluid dark matter. In this regard, we inspect the effective potential by converting the Klein-Gordon equation into basic Schrodinger equation. We compute the asymptotic solutions in different domains such as at Black hole event horizon and far-field horizon under the influence of dark matter. In order to enhance the feasibility of the obtained results over the entire radial domain, we smoothly join them in the middle regime. It is observed that as the rotation parameter as well as strength of perfect fluid dark matter reduces around the black hole, its attractive behavior reduces, i.e., the quality to attract the radiations around itself reduces. Hence, the fewer radiations can approach infinity and the greybody factor reduces. Also, we discuss the impact of thermal oscillations on the thermodynamics of rotating regular black hole. To do so, we evaluate corrected entropy about the equilibrium state which yields variation in other thermodynamic potentials. It is found that entropy of black hole increases corresponding to larger values of rotation parameter. Moreover, it is concluded that in the presence of quantum corrections, the large black holes become stable due to positive range of specific heat.

Automated summary

This paper investigates the greybody factor and thermodynamic properties of rotating and regular black holes in the vicinity of perfect fluid dark matter. By converting equations and performing calculations, it is concluded that the attractiveness of the black hole decreases, leading to a decrease in the greybody factor, as the rotation parameter and strength of the dark matter reduce. The entropy of the black hole is also found to increase with larger values of the rotation parameter.