In this manuscript, we examine the Schwarzschild black hole surrounded by perfect fluid dark matter in the presence of the quintessence matter field in the context of thermodynamics, shadows, and quasinormal modes. We find that the quintessence matter field sets an upper bound value on the horizon where dark matter settles a lower limit on the event horizon but also expands the upper bound value of the horizon. We discuss how this impact alters the black hole's thermodynamics, shadows, and quasinormal modes.
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Hamil et al. (2024) studied this question.
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