Quasinormal modes and tidal Love numbers of covariant effective quantum black holes with cosmological constant

This paper systematically investigates the quasinormal modes (QNMs) and tidal Love numbers of covariant quantum-modified black holes (BHs) within two cosmological constant-dependent metric frameworks. By deriving axial/polar perturbation equations and employing pseudospectral methods (for QNMs) and numerical integration (for Love numbers), we quantify the quantum parameter $ζ$'s influence. We find that, higher overtones exhibit enhanced $ζ$ sensitivity. Solution 1 maintains purely imaginary QNMs under $ζ$ variation, whereas Solution 2 demonstrates mode transitions from real to complex for polar/axial perturbations. Furthermore, for Love number, axial perturbations show non-monotonic $ζ$ dependence, with ΔTᵃₗ peaking at specific values before decay. While for polar perturbation of the same metric displays strictly monotonic $ζ$ effects on ΔTᵖₗ. These results highlight quantum gravity's role in BH perturbation dynamics and cosmological BH phenomenology.