Shadow analysis and light deflection in charged Finslerian Kiselev black holes under spherical accretion

Abstract

This paper investigates the charged Kiselev black hole by utilizing the extended framework of Finsler geometry with non-commutative geometry. Central to our analysis are the Finslerian parameters, which profoundly influence the geodesic motion of particles in the black hole’s vicinity. We also examine other critical parameters, including charge and non-commutative geometry effects, which modify the standard black hole solutions through smeared mass distributions and the incorporation of Finslerian characteristics $\eta$. The study extends to spherical accretion scenarios around the charged Finsler Kiselev black hole, analyzing how different accretion models impact the black hole’s growth and the surrounding matter dynamics. Additionally, we explore the optical signatures of these black holes, such as their shadows and light deflection patterns, to provide a comprehensive understanding of their interaction with nearby matter and radiation. This research provides new insights into black hole physics, especially in regimes where quantum gravitational effects and non-trivial space–time structures are influential.