Long-lived quasinormal modes, shadows and particle motion in four-dimensional quasi-topological gravity
arXiv:2603.10844 · doi:10.1140/epjc/s10052-026-15807-9
Abstract
We investigate massive scalar perturbations and several characteristics of particle motion in the spacetime of regular black holes arising in four-dimensional quasi-topological gravity. Quasinormal modes are computed using high-order WKB approximations with Padé resummation and verified through time-domain integration. For moderate values of the scalar-field mass, the time-domain profiles confirm the WKB results with excellent accuracy. As the mass increases, the damping rate decreases substantially, indicating the approach to the quasi-resonant regime of long-lived modes. For sufficiently large masses, the late-time signal becomes dominated by oscillatory power-law tails, which mask the quasi-resonant mode in the time-domain profile. In addition, we analyze photon motion and circular geodesics, including the photon-sphere radius, shadow size, Lyapunov exponent, and ISCO characteristics. These quantities exhibit only moderate deviations from their Schwarzschild values, unlike the Hawking temperature of the black hole.
14 pages, 4 figures, and 4 tables
References in corpus (106)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- Quasi-Normal Modes of Stars and Black Holes
- First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
- GW190814: Gravitational Waves from the Coalescence of a 23 M Black Hole with a 2.6 M Compact Object
- Quasinormal modes of black holes: from astrophysics to string theory
- Formation and evaporation of non-singular black holes
- Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
- Regular Magnetic Black Holes and Monopoles from Nonlinear Electrodynamics
- The NANOGrav 15-year Data Set: Search for Signals from New Physics
- Quasinormal behavior of the D-dimensional Schwarzshild black hole and higher order WKB approach
- Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
- Renormalization group improved black hole spacetimes
- Regular phantom black holes
- Influence of a plasma on the shadow of a spherically symmetric black hole
- 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
- Modeling Ringdown: Beyond the Fundamental Quasi-Normal Modes
- Quasinormal Modes of Bardeen Black Hole: Scalar Perturbations
- Decay of massive scalar field in a Schwarzschild background
- Massive quasi-normal mode
- Detecting extra dimensions with gravity wave spectroscopy: the black string brane-world
- Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
- Asymptotic tails of massive scalar fields in Schwarzschild background
- Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
- Quasinormal modes and a new instability of Einstein-Gauss-Bonnet black holes in the de Sitter world
- Scalar field evolution in Gauss-Bonnet black holes
- Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones
- Massive scalar field quasi-normal modes of higher dimensional black holes
- Axial perturbations of the scalarized Einstein-Gauss-Bonnet black holes
- Massive vector field perturbations in the Schwarzschild background: stability and quasinormal spectrum
- Quasinormal modes of black holes immersed in a strong magnetic field
- Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
- Regular black hole remnants and graviatoms with de Sitter interior as heavy dark matter candidates probing inhomogeneity of early universe
- Charged scalar field instability between the event and cosmological horizons
- Asymptotic power-law tails of massive scalar fields in Reissner-Nordström background
- Holographic conductivity of zero temperature superconductors
- Slowly decaying tails of massive scalar fields in spherically symmetric spacetimes
- Gravitational spectrum of black holes in the Einstein-Aether theory
- Ringing of rotating black holes in higher-derivative gravity
- Gravitational stability of simply rotating Myers-Perry black holes: tensorial perturbations
- Black holes in galactic centers: quasinormal ringing, grey-body factors and Unruh temperature
- Quasinormal modes of black holes. II. Padé summation of the higher-order WKB terms
- The ringing wormholes
- Late-time evolution of a self-interacting scalar field in the spacetime of dilaton black hole
- Polar quasinormal modes of the scalarized Einstein-Gauss-Bonnet black holes
- Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
- Axisymmetric black holes allowing for separation of variables in the Klein-Gordon and Hamilton-Jacobi equation
- Quasinormal modes of the four-dimensional black hole in Einstein-Weyl gravity
- Long-lived quasinormal modes and overtones' behavior of the holonomy corrected black holes
- Quasinormal modes of Gauss-Bonnet-AdS black holes: towards holographic description of finite coupling
- 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
- Instability of D-dimensional extremally charged Reissner-Nordstrom(-de Sitter) black holes: Extrapolation to arbitrary D
- 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
- BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
- Late time decay of scalar and Dirac fields around an asymptotically de Sitter black hole in the Euler-Heisenberg electrodynamics
- Analytic expressions for quasinormal modes and grey-body factors in the eikonal limit and beyond
- Charged scalar perturbations on charged black holes in dRGT massive gravity
- Late-time evolution of charged massive Dirac fields in the Reissner-Nordström black-hole background
- 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
- Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure
- Quasinormal modes of massive vector fields on the Kerr spacetime
- Nonoscillatory gravitational quasinormal modes and telling tails for Schwarzschild-de Sitter black holes
- Massive Scalar Perturbations on Myers-Perry-de Sitter Black Holes with a Single Rotation
- Decay of massive scalar field in a black hole background immersed in magnetic field
- Transition from Regular Black Holes to Wormholes in Covariant Effective Quantum Gravity: Scattering, Quasinormal Modes, and Hawking Radiation
- Long-lived Quasinormal Modes and Gray-Body Factors of black holes and wormholes in dark matter inspired Weyl Gravity
- Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime
- Quasinormal spectrum of -dimensional asymptotically flat, dS and AdS black holes
- Massive nonminimally coupled scalar field in Reissner-Nordström spacetime: Long-lived quasinormal modes and instability
- The Decay of Dirac Hair around a Dilaton Black Hole
- Decay of Massive Dirac Hair on a Brane-World Black Hole
- Regular black holes inspired by quasi-topological gravity
- Quasinormal modes of Proca fields in a Schwarzschild-AdS spacetime
- Analytical QNMs of fields of various spin in the Hayward spacetime
- Decay of massive hair on brane black hole
- Stability of asymptotically flat (2+1)-dimensional black holes with Gauss-Bonnet corrections
- Overtones of black holes via time-domain integration
- The longlived charged massive scalar field in the higher-dimensional Reissner--Nordström spacetime
- Black holes in Einstein-aether theory: Quasinormal modes and time-domain evolution
- Perturbative and nonperturbative fermionic quasinormal modes of Einstein-Gauss-Bonnet-AdS black holes
- Euler-Heisenberg black hole surrounded by quintessence in the background of perfect fluid dark matter: Thermodynamics, Shadows and Quasinormal modes
- Proper-Time Approach in Asymptotic Safety via Black Hole Quasinormal Modes and Grey-body Factors
- Long-Lived Quasinormal Modes and Quasi-Resonances around Non-Minimal Einstein-Yang-Mills Black Holes
- Quantum gravitational corrections to the Schwarzschild spacetime and quasinormal frequencies
- Dark matter halo as a source of regular black-hole geometries
- Quasinormal Modes of Lovelock Black Holes
- Gravitational perturbations of the Hayward spacetime and testing the correspondence between quasinormal modes and grey-body factors
- Gravitational Spectra and Wave Propagation in Regular Black Holes Supported by a Dehnen Halo
- Quasinormal Modes and Gray-Body Factors for Gravitational Perturbations in Asymptotically Safe Gravity
- Grey-Body Factors for Scalar and Dirac Fields in the Euler-Heisenberg Electrodynamics
- Overtones behavior of higher dimensional black holes in the Einstein-Gauss-Bonnet gravity
- Grey-body factors and absorption cross-sections of scalar and Dirac fields in the vicinity of dilaton-de Sitter black hole
- Telling tails and quasi-resonances in the vicinity of Dymnikova regular black hole
- Gravitational quasinormal modes of Dymnikova black holes
- Long-lived modes and grey-body factors of massive fields in quantum-corrected (Hayward) black holes
- Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
- Gravitational perturbations of Dymnikova black holes: grey-body factors and absorption cross-sections
- Black Holes in Asymptotic Safety: A Review of Solutions and Phenomenology
- Correspondence between quasinormal modes and grey-body factors of Schwarzschild--Tangherlini black holes
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- All generalised dilaton theories from gravities
- Modified Friedmann equations and non-singular cosmologies in non-polynomial quasi-topological gravities
- Ringing Regularity: Gravitational Perturbations and Quasinormal Modes of Einasto-Supported Black Holes
- Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory