Decoding the greybody factor and potential barriers in a static black hole with quantum corrections

Abstract

This article investigates the greybody factor of a static, spherically symmetric black hole coupled with the effective quantum gravity. With the use of Klein–Gordon equation, the radial component for a massless scalar field is computed. We then employ the tortoise coordinate transformation to formulate the Schrödinger wave equation. This transformation is used to compute and analyze the effective potential graphically against radial parameter by varying certain physical quantities to observe how these parameters affect the potential barrier. Afterwards, we solve the radial equation to formulate solutions on both horizons (event and cosmological). Further, we consider the intermediate regime and use transformations to match these solutions for computing the greybody factor. The graphical analysis shows that both the mass and radial parameter of the black hole increase the evaporation process faster and decrease its life. It is observed that the evaporation process starts when the radiation rotates with opposite direction, indicating that larger angular momentum and modification parameters suppress the absorption probability. This ultimately implies that effective quantum gravity corrections tend to prolong the black hole’s lifetime by introducing an additional potential resistance against outgoing radiation.