Long-lived modes and grey-body factors of massive fields in quantum-corrected (Hayward) black holes
arXiv:2511.00778 · doi:10.1007/s10773-026-06274-9
Abstract
We study the dynamics of a massive scalar field in the background of the Hayward black hole, which can be interpreted both as a regular spacetime and as an effective geometry arising from Asymptotically Safe gravity. The quasinormal spectrum and grey-body factors are computed using the WKB method with Padé improvements and confirmed through time-domain integration followed by Prony analysis. We find that the mass of the field significantly suppresses the damping rate of quasinormal oscillations, giving rise to long-lived modes that continuously approach arbitrarily long-lived states (quasi-resonances) at certain critical field masses. In the time domain, the standard exponentially decaying ringdown is replaced by oscillatory tails with a power-law envelope. The corresponding grey-body factors reveal a pronounced shift of the transmission peak toward higher frequencies and a suppression of the low-frequency part of the spectrum. Finally, we show that the correspondence between quasinormal modes and grey-body factors remains valid for massive fields, being highly accurate for large multipole numbers and gradually losing precision as either the field mass increases or the multipole number decreases.
References in corpus (78)
- Quasinormal modes of black holes and black branes
- Quasi-Normal Modes of Stars and Black Holes
- Quasinormal modes of black holes: from astrophysics to string theory
- Formation and evaporation of non-singular black holes
- Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
- Renormalization group improved black hole spacetimes
- Regular black holes with a nonlinear electrodynamics source
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- Quasinormal modes of black holes. The improved semianalytic approach
- Are eikonal quasinormal modes linked to the unstable circular null geodesics?
- Gravitational quasinormal radiation of higher-dimensional black holes
- Regular rotating black holes and the weak energy condition
- Massive quasi-normal mode
- Detecting extra dimensions with gravity wave spectroscopy: the black string brane-world
- Asymptotic safety casts its shadow
- Dynamical renormalization of black-hole spacetimes
- Quasinormal modes and a new instability of Einstein-Gauss-Bonnet black holes in the de Sitter world
- Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
- Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones
- On the Effective Metric of a Planck Star
- Wormholes without exotic matter: quasinormal modes, echoes and shadows
- Further clarification on quasinormal modes/circular null geodesics correspondence
- Quasinormal modes of black holes immersed in a strong magnetic field
- Massive charged scalar field in a Reissner-Nordstrom black hole background: quasinormal ringing
- Quasinormal modes, scattering and Hawking radiation of Kerr-Newman black holes in a magnetic field
- The portrait of eikonal instability in Lovelock theories
- Arbitrarily long-lived quasinormal modes in a wormhole background
- Gravitational waves from quasinormal modes of a class of Lorentzian wormholes
- Charged scalar field instability between the event and cosmological horizons
- Slowly decaying tails of massive scalar fields in spherically symmetric spacetimes
- Correspondence between grey-body factors and quasinormal modes
- Gravitational stability of simply rotating Myers-Perry black holes: tensorial perturbations
- Black holes in galactic centers: quasinormal ringing, grey-body factors and Unruh temperature
- Relaxations of perturbations of spacetimes in general relativity coupled to nonlinear electrodynamics
- Late-time evolution of a self-interacting scalar field in the spacetime of dilaton black hole
- Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
- Black Hole Ringing, Quasinormal Modes, and Light Rings
- Superradiant instability for black holes immersed in a magnetic field
- Long-lived quasinormal modes and overtones' behavior of the holonomy corrected black holes
- Correspondence between grey-body factors and quasinormal frequencies for rotating black holes
- Black holes in Starobinsky-Bel-Robinson Gravity and the breakdown of quasinormal modes/null geodesics correspondence
- Dust collapse in asymptotic safety: a path to regular black holes
- Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure
- General parametrization of black holes: the only parameters that matter
- Quasinormal modes of renormalization group improved Dymnikova regular black holes
- Quasinormal modes of black holes in f(T) gravity
- Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics
- Probing the Effective Quantum Gravity via Quasinormal Modes and Shadows of Black Holes
- Quasinormal modes and grey-body factors of regular black holes with a scalar hair from the Effective Field Theory
- Correspondence between quasinormal modes and grey-body factors of spherically symmetric traversable wormholes
- Asymptotic tails of massive gravitons in light of pulsar timing array observations
- Cosmic Censorship in Quantum Einstein Gravity
- Decay of massive scalar field in a black hole background immersed in magnetic field
- Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime
- Generalised Hayward spacetimes: Geometry, matter and scalar quasinormal modes
- Perturbations and Quasinormal Modes of the Dirac Field in Effective Quantum Gravity
- Breaking of isospectrality of quasinormal modes in nonrotating loop quantum gravity black holes
- Analytical QNMs of fields of various spin in the Hayward spacetime
- Decay of massive hair on brane black hole
- Quasinormal modes of self-dual black holes in loop quantum gravity
- Long Lived Quasinormal Modes of Regular and Extreme Black Holes
- Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
- Stability of asymptotically flat (2+1)-dimensional black holes with Gauss-Bonnet corrections
- Quasinormal modes of charged black holes in Asymptotically Safe Gravity
- Overtones of black holes via time-domain integration
- Grey-body factors for gravitational and electromagnetic perturbations around Gibbons-Maeda-Garfinkle-Horovits-Strominger black holes
- Long-lived quasinormal modes, grey-body factors and absorption cross-section of the black hole immersed in the Hernquist galactic halo
- Long-Lived Quasinormal Modes and Quasi-Resonances around Non-Minimal Einstein-Yang-Mills Black Holes
- Proper-Time Approach in Asymptotic Safety via Black Hole Quasinormal Modes and Grey-body Factors
- Long-lived quasinormal modes and echoes in the Einstein-Gauss-Bonnet-Proca theory
- The Axial Gravitational Ringing of a Spherically Symmetric Black Hole Surrounded by Dark Matter Spike
- Quantum gravitational corrections to the Schwarzschild spacetime and quasinormal frequencies
- Influence of dark matter equation of state on the axial gravitational ringing of supermassive black holes
- Black Holes in Proca-Gauss-Bonnet Gravity with Primary Hair: Particle Motion, Shadows, and Grey-Body Factors
- On quasinormal modes in 4D black hole solutions in the model with anisotropic fluid
- Primordial black holes as cosmic expansion accelerators
- Massive charged scalar field in the Kerr-Newman background II: Hawking radiation
- Black Holes Immersed in Galactic Dark Matter Halo