Greybody factor for regular Bardeen black hole surrounded by PFDM

Abstract

The main aim of this work is to construct an analytical expression of greybody factor (GBF) for regular Bardeen black hole (BH) surrounded by perfect fluid dark matter (PFDM). To this end, we first analyze the profile of effective potential by transforming the radial part of Klein–Gordon (KG) equation into standard Schrödinger equation. Afterwards, the two asymptotic solutions are found in distinct regions, namely, BH and far-field horizons. To extend the viability of the derived solutions over the whole radial regime, we match them smoothly in an intermediate region. It is found that as the intensity of PFDM decreases around the BH, its attractive behavior decreases (the ability of attracting radiations towards itself decreases). As a result, the less radiations can reach infinity and hence the greybody factor decreases. We also study the effect of thermal fluctuations on thermodynamics of regular BH surrounded by PFDM. For this purpose, we compute corrected entropy near the equilibrium position which implies modification in other thermodynamic potentials. It is concluded that in the presence of quantum corrections, the large BHs becomes stable due to positive range of specific heat.