Klein–Gordon equation and geodesic behavior in quantum-corrected charged black holes with quintessence

Abstract

The current study deals with the greybody factor, radial geodesics, and tidal force phenomenon for quantum-corrected charged Schwarzschild black hole surrounded by quintessence. In first part, Klein–Gordon equation is considered in order to calculate the analytical expressions for greybody factors for the different values of involved parameters. Our main focus is on examining the effective potential profile, which is the source of the absorption probability. Next, we solve the radial portion of the Klein–Gordon equation in two distinct areas to obtain two asymptotic solutions. In the second part, radial geodesics is discussed under the effect of quantum corrected parameter. In the last part of this study, tidal forces are examined. We investigate the radial and rotational tidal force effect the center black hole, which is situated in the considered spacetime, has on a particle that is descending radially. Additionally, we use appropriate initial conditions to solve numerically the geodesic deviation equations and investigate the change of the geodesic separation vector with the radial coordinate for two adjacent geodesics. Finally, it is found that our calculated results are physically viable with a well-behaved behavior.