Long-lived quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity

Abstract

We study quasinormal modes of massive scalar and massless Dirac fields in the background of regular black holes and traversable wormholes arising in Covariant Effective Quantum Gravity. Using both the Jeffreys-Wentzel-Kramers-Brillouin approximation and time-domain integration, we analyze the impact of quantum corrections on the quasinormal spectra and late-time behavior of perturbations. Our results reveal the existence of slowly decaying, oscillatory tails and quasi-resonant modes in the scalar sector, particularly in the high-mass regime. In the fermionic case, the damping rate increases with the quantum correction parameter ξ, while the oscillation frequency decreases. We also observe pronounced echo-like structures in the time-domain profiles near the black hole-wormhole threshold. These findings provide insight into the dynamics of perturbations in quantum-corrected spacetimes and offer potential signatures for distinguishing black holes from wormholes in future gravitational wave observations.