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Considering a quantum correction due to vacuum fluctuation in the Schwarzschild space–time with quintessence, the thermodynamic properties such as mass, temperature, heat capacity–as functions of entropy, are studied. Also the equation of state of the black hole is derived. Furthermore, the results of the quantum-corrected Schwarzschild black hole surrounded by quintessence field are compared with the conventional Schwarzschild black hole with quintessence and the quantum-corrected Schwarzschild black hole without quintessence.
Md. Shahjalal (Mon,) studied this question.