Greybody factor and thermal fluctuations of rotating black hole with perfect fluid dark matter
Qanitah Ama-Tul-Mughani, Saadia Mumtaz, Wardat us Salam, Ayesha Ikram
Abstract
This paper deals with formulation of analytic solution for greybody factor taking a rotating black hole (BH) in the vicinity of perfect fluid dark matter. To this end, the Klein–Gordon equation is transformed into the standard Schrödinger equation in order to portray the behavior of effective potential. We compute the asymptotic solutions in two different regimes, namely, BH and far field horizons under the influence of perfect fluid dark matter. The derived solutions are smoothly matched in an intermediate region for the sake of their viability. It is observed that a large amount of radiations approach infinity by decreasing intensity of dark matter in the surrounding of BH and hence the greybody factor increases. We also analyze the impact of thermal fluctuations on the considered gravitational background. In this context, the corrected entropy near the equilibrium state is computed which further modifies other thermodynamic potentials. We conclude that the larger BHs become more stable taking positive ranges of specific heat in the vicinity of quantum corrections.