Study of Kiselev Black Hole in Quantum Fluctuation Modified Gravity via Quasinormal modes and Greybody Factors

Abstract: In this work, we formulate the wave function to compute the effective potential of scalar and vector fields for the Kiselve black hole in the background of quantum fluctuation modified gravity. Using the 6th-order Wentzel-Kramers-Brillouin approach, the quasinormal modes for the considered black hole are obtained through scalar and vector perturbation fields. We investigate the quasinormal frequency by considering several values of the metric and equation of state ($\mho$ and $\bar{\bar{\omega}}$) parameter, respectively. The real part values of the quasinormal modes drop as the $\mho$ values rise. Later, the greybody factors of the black hole are determined and found that the parameters $\mho$, $\bar{\bar{\omega}}$ and the multipole moment $l$ significantly affects the greybody factors. Additionally, for scalar perturbations, we graphically analyze the rigorous bound of the greybody factor under the effects of parameters $\mho$ and $l$.