Thermodynamics and Shadows of quantum-corrected Reissner-Nordström black hole surrounded by quintessence

Abstract: In this work, we consider the quantum-corrected Reissner-Nordstr\"om black hole surrounded by quintessence matter and examine its thermodynamics and shadow. To this end, we handle the quantum-corrected metric of the black hole, which is given by Wu and Lui in 2022, and couple the quintessence matter field effects to the lapse function. Then, we obtain the mass, Hawking temperature, specific heat, and equation of state functions. In all these functions, we discuss two cases in which the quantum corrections are greater or smaller than the quintessence matter effects. We observe that within these two scenarios, the black hole has different characteristic thermal behaviors. Moreover, we find that the quintessence matter plays an important role in leading to a black hole remnant. Finally, we investigate the black hole shadow by Carter's approach. We find that quintessence matter and quantum corrections modify the shadow of the black hole.