Quantum-corrected models of Schwarzschild-like black holes that preserve general covariance have been developed in [1]. In this work, we derive analytic approximations for the quasinormal modes of scalar, electromagnetic, and gravitational perturbations around these black holes. A comparison with numerical data demonstrates the high accuracy of the derived analytic formulas for moderate and high values of the multipole number. Furthermore, we use these expressions to show that the Hod’s upper bound on the damping rate of the fundamental mode is satisfied for these quantum-corrected black holes.
