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Main Authors: Liu, Yunlong, Zhang, Xiangdong
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2509.12013
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author Liu, Yunlong
Zhang, Xiangdong
author_facet Liu, Yunlong
Zhang, Xiangdong
contents 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 $Δ\mathcal{T}^a_l$ peaking at specific $\ell$ values before decay. While for polar perturbation of the same metric displays strictly monotonic $ζ$ effects on $Δ\mathcal{T}^p_l$. These results highlight quantum gravity's role in BH perturbation dynamics and cosmological BH phenomenology.
format Preprint
id arxiv_https___arxiv_org_abs_2509_12013
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasinormal modes and tidal Love numbers of covariant effective quantum black holes with cosmological constant
Liu, Yunlong
Zhang, Xiangdong
General Relativity and Quantum Cosmology
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 $Δ\mathcal{T}^a_l$ peaking at specific $\ell$ values before decay. While for polar perturbation of the same metric displays strictly monotonic $ζ$ effects on $Δ\mathcal{T}^p_l$. These results highlight quantum gravity's role in BH perturbation dynamics and cosmological BH phenomenology.
title Quasinormal modes and tidal Love numbers of covariant effective quantum black holes with cosmological constant
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2509.12013