Long-lived quasinormal modes and echoes in the Einstein-Gauss-Bonnet-Proca theory

Abstract

We study quasinormal modes and time-domain profiles of a massive scalar field in the background of black holes arising in Einstein--Gauss--Bonnet--Proca gravity. The black holes in this theory possess \emph{primary Proca hair}, which modifies the effective potential and gives rise to distinctive dynamical phenomena. Using three complementary numerical techniques -- the WKB method with Padé resummation, time-domain integration, and the Frobenius (Leaver) method -- we obtain accurate spectra of quasinormal frequencies. Our analysis shows that increasing the scalar-field mass leads to arbitrarily long-lived states, known as quasi-resonances, a behavior shared by both the fundamental mode and the first overtone. The real part of the quasinormal mode decreases for the first and higher overtones and starting from the second overtone it reaches zero at some critical value of mass of the field. When the effective potential develops an additional peak, the late-time signal exhibits a sequence of echoes. Furthermore, the time-domain evolution reveals distinct regimes of intermediate power-law tails $\sim t^{-4/3-\ell }\sin (A(\mu )t)$ and a universal asymptotic tails $\sim t^{-5/6}\sin (\mu t)$.

arXiv comment8 pages, 2 figures

References in corpus (78)

• Quasinormal modes of black holes and black branes
• Quasinormal modes of black holes: from astrophysics to string theory
• Is the gravitational-wave ringdown a probe of the event horizon?
• 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
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Echoes from the Abyss: Tentative evidence for Planck-scale structure at black hole horizons
• 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
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Echoes of Kerr-like wormholes
• Testing the black hole "no-hair" hypothesis
• A recipe for echoes from exotic compact objects
• Quasinormal modes, stability and shadows of a black hole in the 4D Einstein-Gauss-Bonnet gravity
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• Decay of massive scalar field in a Schwarzschild background
• Massive quasi-normal mode
• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• Detecting extra dimensions with gravity wave spectroscopy: the black string brane-world
• Quasinormal modes, scattering and Hawking radiation in the vicinity of Einstein-dilaton-Gauss-Bonnet black hole
• Asymptotic tails of massive scalar fields in Schwarzschild background
• Grey-body factors and Hawking radiation of black holes in $4D$ Einstein-Gauss-Bonnet gravity
• Dirac quasinormal modes of the Reissner-Nordström de Sitter black hole
• Gravitational wave echoes from black hole area quantization
• Echoes in brane worlds: ringing at a black hole--wormhole transition
• 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
• Wormholes without exotic matter: quasinormal modes, echoes and shadows
• Massive vector field perturbations in the Schwarzschild background: stability and quasinormal spectrum
• Quasinormal modes of black holes immersed in a strong magnetic field
• (In)stability of black holes in the 4D Einstein-Gauss-Bonnet and Einstein-Lovelock gravities
• Echoes of compact objects: new physics near the surface and matter at a distance
• Quasinormal modes, scattering and Hawking radiation of Kerr-Newman black holes in a magnetic field
• Arbitrarily long-lived quasinormal modes in a wormhole background
• Asymptotic power-law tails of massive scalar fields in Reissner-Nordström background
• Slowly decaying tails of massive scalar fields in spherically symmetric spacetimes
• Quasinormal modes and Hawking radiation of black holes in cubic gravity
• Scalar field perturbations of the Schwarzschild black hole in the Gödel Universe
• Correspondence between grey-body factors and quasinormal modes
• Late time tails of the massive vector field in a black hole background
• Late-time evolution of a self-interacting scalar field in the spacetime of dilaton black hole
• High overtones of Schwarzschild-de-Sitter quasinormal spectrum
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• Decay of a charged scalar and Dirac fields in the Kerr-Newman-de Sitter background
• 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 massive fermions in Kerr spacetime: Long-lived modes and the fine structure
• 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
• 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
• Gravitational wave echoes from black holes in massive gravity
• 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
• Quasinormal modes of massive vector fields on the Kerr spacetime
• Massive Dirac quasinormal modes in Schwarzschild-dS black holes: anomalous decay rate and fine structure
• 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
• Quasinormal spectrum of $(2+1)$-dimensional asymptotically flat, dS and AdS black holes
• Long-lived Quasinormal Modes and Gray-Body Factors of black holes and wormholes in dark matter inspired Weyl Gravity
• Non-Minimal Einstein-Yang-Mills Black Holes: Fundamental Quasinormal Mode and Grey-Body factors versus Outburst of Overtones
• Perturbations and Quasinormal Modes of the Dirac Field in Effective Quantum Gravity
• Evolution of Brane-Localised Standard Model Fields in Gauss-Bonnet theory
• Asymptotic decay and quasinormal frequencies of scalar and Dirac fields around dilaton-de Sitter black holes
• The Decay of Dirac Hair around a Dilaton Black Hole
• Decay of Massive Dirac Hair on a Brane-World Black Hole
• Spontaneously vectorized Einstein-Gauss-Bonnet black holes
• Quasinormal modes of Proca fields in a Schwarzschild-AdS spacetime
• Decay of massive hair on brane black hole
• Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
• The longlived charged massive scalar field in the higher-dimensional Reissner--Nordström spacetime
• Quasinormal modes of charged black holes in Asymptotically Safe Gravity
• Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
• Stability of asymptotically de Sitter and anti-de Sitter black holes in $4D$ regularized Einstein-Gauss-Bonnet theory
• Detecting the massive vector field with extreme mass-ratio inspirals
• Overtones behavior of higher dimensional black holes in the Einstein-Gauss-Bonnet gravity
• Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes

Cited by in corpus (9)

• Long-lived quasinormal modes, grey-body factors and absorption cross-section of the black hole immersed in the Hernquist galactic halo
• Proper-Time Approach in Asymptotic Safety via Black Hole Quasinormal Modes and Grey-body Factors
• Gravitational Spectra and Wave Propagation in Regular Black Holes Supported by a Dehnen Halo
• 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
• Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes
• Stationary Einstein-vector-Gauss-Bonnet black holes
• Grey-Body Factors and Thermodynamics of Asymptotically de Sitter Black Holes in Generalized Proca Theory