Quasinormal Modes, Greybody Factors and Rigorous Bounds for Quantum Oppenheimer-Snyder Black Hole with Quintessential Dark Energy and a String Clouds

We obtained quasinormal modes and greybody factors of the quantum Oppenheimer-Snyder (QOS) black hole with quintessential dark energy and string clouds. We compute the effective potentials of the scalar and the vector perturbation fields and analyze their graphical behavior. For this, we compute quasinormal mode frequencies of the QOS black hole, that is surrounded by quintessence dark energy and a cloud of strings and this is done by 6th-order Wentzel-Kramers-Brillouin (WKB) approximation method. We observe the quasinormal frequencies by analyzing both the quintessence parameters and the string cloud parameters. We also examine the GFs by analyzing the role of string cloud ($\tilde{a}_{e}$), quantum deformation ($\tildeσ_{e}$), and quintessence ($\tilde{h}_{e}$) parameters. It is found that GFs are significantly influenced by the parameters of $\tilde{a}_{e}$, $\tildeσ_{e}$, and $\tilde{h}_{e}$. In the case of scalar perturbation, we also give strict limits of the GFs and check the influence of the parameters of $\tilde{a}_{e}$, $\tildeσ_{e}$, and $\tilde{h}_{e}$.