Quasinormal spectra of a wormhole family: overtone features and a parameter-controlled redshift

Abstract

Though investigated extensively in the past, we take a detailed relook at the study of quasinormal modes (QNM) in a known family of wormholes (ultrastatic ($g_{00}=-1$), as well as spacetimes with different, non-constant $g_{00}$), which includes the familiar Bronnikov-Ellis spacetime as a special case. Our focus here is to go beyond the fundamental mode and obtain some of the QNM overtones using a suitable numerical scheme. Scalar and axial gravitational QNMs including two or three overtones are obtained for the family of ultrastatic geometries and their parameter dependencies are shown explicitly. Further, we comment on how (a) the overtones may influence the time-domain profile in a perturbation and (b) in what sense, the use of overtones may help in distinguishing between different geometries within the family. Finally, we show how an effect somewhat similar to the so-called `environment induced redshift' of QNMs, introduced recently (Phys. Rev. D \textbf{111}, 064026 (2025)), may be obtained for spacetimes with non-constant $g_{00}$, via an appropriate tuning of available metric parameters which systematically modify the shapes of the effective potentials arising in the perturbation equations.

Minor changes, references added

References in corpus (39)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Gravitational Lensing by Wormholes
• Matched-filtering and parameter estimation of ringdown waveforms
• Analysis of Ringdown Overtones in GW150914
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory
• Black hole mimicker hiding in the shadow: Optical properties of the $\gamma$-metric
• Dynamics of test particles around a Bardeen black hole surrounded by perfect fluid dark matter
• Light curves of light rays passing through a wormhole
• Gravitational lensing by wormholes
• Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones
• Generalized uncertainty principle corrections in Rastall-Rainbow Casimir wormholes
• A multimode quasi-normal spectrum from a perturbed black hole
• Greybody factor and quasinormal modes of Regular Black Holes
• Role of black hole quasinormal mode overtones for ringdown analysis
• Gravitational lensing effect in traversable wormholes
• Quasinormal modes of black holes embedded in halos of matter
• Quasinormal modes of massive scalar fields in four-dimensional wormholes: anomalous decay rate
• Infinite tower of higher-curvature corrections: Quasinormal modes and late-time behavior of D-dimensional regular black holes
• Transition from Regular Black Holes to Wormholes in Covariant Effective Quantum Gravity: Scattering, Quasinormal Modes, and Hawking Radiation
• A Study of stable wormhole solution with non-commutative geometry in the framework of linear $f(R,{\mathcal{L}}_m,T)$ gravity
• Shadows and thin accretion disk images of the $\gamma$-metric
• Nonlinear treatment of a black hole mimicker ringdown
• Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Using physics-informed neural networks to compute quasinormal modes
• A Unified Spectral Approach for Quasinormal Modes of Morris-Thorne Wormholes
• Slowly Decaying Ringdown of a Rapidly Spinning Black Hole: Probing the No-Hair Theorem by Small Mass-Ratio Mergers with LISA
• Quasinormal modes of black holes encircled by a gravitating thin disk
• Fundamental Tone and Overtones of Quasinormal Modes in Ringdown Gravitational Waves: A Detailed Study in Black Hole Perturbation
• Quasi normal modes of a Casimir--like traversable wormhole through the semi-analytical WKB approach
• Novel triple barrier potential for axial gravitational perturbations of a family of Lorentzian wormholes
• Quasinormal Modes in Modified Gravity using Physics-Informed Neural Networks
• Modified Gravity Model $f(Q,T)$ and Wormhole Solution