Optical and Thermal Properties of Quantum Corrected AdS Black Hole in Kiselev Spacetime

Abstract

In this work, we investigate the optical and thermodynamic properties of a quantum-corrected AdS black hole (BH) in Kiselev spacetime. The study focuses on the effects of key param-eters, including the quantum correction parameter a, the cosmological fluid parameter λ. the electric charge Q, and the entropy correction parameter ẞ, on the Hawking temperature, entropy, specific heat, Gibbs free energy, and BH shadow. The Hawking temperature gen-erally increases with the horizon radius, while the quantum and cosmological parameters enhance the corrected entropy and specific heat, indicating regions of local thermodynamic stability. Analysis of the Gibbs free energy reveals that small black holes (BHs) exhibit global instability, which transitions to stability for larger horizons. The BH shadow and photon sphere are found to expand with increasing a and A, and the infalling matter shows characteristic Doppler-induced darkening. These results highlight how quantum correction parameter a and surrounding cosmological fluid parameter A influence both the thermal behavior and observational features of AdS black holes, providing new insights beyond classical treatments.