Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states
arXiv:1110.4494 · doi:10.1103/PhysRevD.85.044043
Abstract
We study the propagation of a massive vector or Proca field on the Schwarzschild spacetime. The field equations are reduced to a one-dimensional wave equation for the odd-parity part of the field and two coupled equations for the even-parity part of the field. We use numerical techniques based on solving (scalar or matrix-valued) three-term recurrence relations to compute the spectra of both quasi-normal modes and quasi-bound states, which have no massless analogue, complemented in the latter case by a forward-integration method. We study the radial equations analytically in both the near-horizon and far-field regions and use a matching procedure to compute the associated spectra in the small-mass limit. Finally, we comment on extending our results to the Kerr geometry and its phenomenological relevance for hidden photons arising e.g. in string theory compactifications.
15 pages, 8 figures; minor corrections, to be published in Phys. Rev. D
References in corpus (10)
- Instability of the massive Klein-Gordon field on the Kerr spacetime
- Floating and sinking: the imprint of massive scalars around rotating black holes
- Stability and quasinormal modes of the massive scalar field around Kerr black holes
- Scattering and absorption of gravitational plane waves by rotating black holes
- Fermion scattering by a Schwarzschild black hole
- Late time tails of the massive vector field in a black hole background
- Electromagnetic wave scattering by Schwarzschild black holes
- Hawking radiation for a Proca field in D-dimensions
- Quantum Bound States Around Black Holes
- Electromagnetic and Gravitational Radiation of Graviatoms
Cited by in corpus (124)
- Testing General Relativity with Present and Future Astrophysical Observations
- Can environmental effects spoil precision gravitational-wave astrophysics?
- Discovering the QCD Axion with Black Holes and Gravitational Waves
- Testing strong-field gravity with tidal Love numbers
- Black Hole Superradiance Signatures of Ultralight Vectors
- Superradiant Instability and Backreaction of Massive Vector Fields around Kerr Black Holes
- Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
- Black-Hole Bombs and Photon-Mass Bounds
- Superradiant instabilities in astrophysical systems
- Constraining the mass of dark photons and axion-like particles through black-hole superradiance
- Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
- Black hole superradiance of self-interacting scalar fields
- Advanced Methods in Black-Hole Perturbation Theory
- Superradiant instabilities of rotating black holes in the time domain
- The Spectra of Gravitational Atoms
- Astrophysical signatures of boson stars: quasinormal modes and inspiral resonances
- Superradiant instability of massive vector fields around spinning black holes in the relativistic regime
- Static response and Love numbers of Schwarzschild black holes
- Stimulated axion decay in superradiant clouds around primordial black holes
- Black holes and fundamental fields in Numerical Relativity: initial data construction and evolution of bound states
- Lensing and dynamics of ultra-compact bosonic stars
- Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
- Quantum Tunneling of Massive Spin-1 Particles From Non-stationary Metrics
- Characterizing the continuous gravitational-wave signal from boson clouds around Galactic isolated black holes
- Axionic instabilities and new black hole solutions
- Instability of the Proca field on Kerr spacetime
- Scalar, Electromagnetic and Gravitational Perturbations of Kerr-Newman Black Holes in the Slow-Rotation Limit
- Nonlinear interactions between black holes and Proca fields
- Numerical evolutions of spherical Proca stars
- QNMs of slowly rotating Einstein-Bumblebee Black Hole
- Head-on collisions and orbital mergers of Proca stars
- Extreme mass-ratio inspirals into black holes surrounded by scalar clouds
- Exploring New Physics Frontiers Through Numerical Relativity
- A Matrix Method for Quasinormal Modes: Schwarzschild Black Holes in Asymptotically Flat and (Anti-) de Sitter Spacetimes
- Absorption of a massive scalar field by a charged black hole
- Superradiant instability of black holes immersed in a magnetic field
- Pseudospectrum of horizonless compact objects: a bootstrap instability mechanism
- Aspects of Nonlinear Effect on Black Hole Superradiance
- Black holes in massive gravity
- Quasinormal modes of massive fermions in Kerr spacetime: Long-lived modes and the fine structure
- Signatures of extra dimensions in gravitational waves from black hole quasi-normal modes
- Bound states of the Dirac equation on Kerr spacetime
- Quasinormal modes of charged black holes with corrections from nonlinear electrodynamics
- Dark photon superradiance: Electrodynamics and multimessenger signals
- The problem with Proca: ghost instabilities in self-interacting vector fields
- Spectral (in)stability of quasinormal modes and strong cosmic censorship
- Superradiance in rotating stars and pulsar-timing constraints on dark photons
- SuperRad: Modeling the black hole superradiance gravitational waveform
- Axion superradiance in rotating neutron stars
- Black hole bombs and explosions: from astrophysics to particle physics
- Destabilization of black holes and stars by generalized Proca fields
- Quasinormal modes of massive vector fields on the Kerr spacetime
- Schwarzschild scalar wigs: spectral analysis and late time behavior
- Can black hole superradiance be induced by galactic plasmas?
- Marginal scalar and Proca clouds around Reissner-Nordström black holes
- Non-Minimal Einstein-Yang-Mills Black Holes: Fundamental Quasinormal Mode and Grey-Body factors versus Outburst of Overtones
- Boosted black string bombs
- Perturbations and Quasinormal Modes of the Dirac Field in Effective Quantum Gravity
- Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes
- Superradiant axion clouds around asteroid-mass primordial black holes
- Tidal Love numbers of Proca stars
- Quasinormal modes of Proca fields in a Schwarzschild-AdS spacetime
- Superradiance in the sky
- Scalar clouds around Kerr-Sen black holes
- Anomalous decay rate of quasinormal modes
- Plasma-photon interaction in curved spacetime I: formalism and quasibound states around nonspinning black holes
- Long-lived Quasinormal modes around regular black holes and wormholes in Covariant Effective Quantum Gravity
- Self-gravitating black hole scalar wigs
- Scattering state and bound state of scalar field in Schwarzschild spacetime: Exact solution
- Methods and prospects for gravitational wave searches targeting ultralight vector boson clouds around known black holes
- Instability of vectorized stars
- Testing black hole superradiance with pulsar companions
- Instability and backreaction of massive spin-2 fields around black holes
- Quasistationary solutions of scalar fields around collapsing self-interacting boson stars
- Superradiant pion clouds around primordial black holes
- Scalar scattering in Schwarzschild spacetime: Integral equation method
- Massive vector fields in Kerr--Newman and Kerr--Sen black hole spacetimes
- Long-Lived Quasinormal Modes and Quasi-Resonances around Non-Minimal Einstein-Yang-Mills Black Holes
- Black Hole Superradiance in Dynamical Chern-Simons Gravity
- Gravito-electromagnetic perturbations of MOG black holes with a cosmological constant: Quasinormal modes and Ringdown waveforms
- Gravitoelectromagnetic coupled perturbations and quasinormal modes of a charged black hole with scalar hair
- Dynamical signatures of black holes in massive Chern-Simons gravity: Quasibound modes and time evolution
- Superradiant instability of a charged regular black hole
- Dark photon superradiance quenched by dark matter
- Black hole perturbations of massive and partially massless spin-2 fields in (anti) de Sitter spacetime
- Schwarzschild quasi-normal modes of non-minimally coupled vector fields
- Detecting the massive vector field with extreme mass-ratio inspirals
- Asymptotic late-time tails of massive spin-2 fields
- Massive vector field perturbations on extremal and near-extremal static black holes
- Scalar field in Reissner-Nordström spacetime: Bound state and scattering state
- Gravitational waves in massive gravity: Waveforms generated by a particle plunging into a black hole and the excitation of quasinormal modes and quasibound states
- Resonant excitation of black holes by massive bosonic fields and giant ringings
- Numerical computation of quasinormal modes in the first-order approach to black hole perturbations in modified gravity
- Massive tensor field perturbations on extremal and near-extremal static black holes
- Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
- Normal modes of Proca fields in AdS spacetime
- Quasibound states of the Dirac field in Schwarzschild and Reissner-Nordström black hole backgrounds
- Black-hole hair from vector dark matter accretion
- Horizon Acoustics of the GHS Black Hole and the Spectrum of
- Probing Particle Physics with Gravitational Waves
- Hidden conformal symmetries for black holes in modified gravity
- Corrections to Hawking Radiation from Asteroid Mass Primordial Black Holes: I. Formalism of Dissipative Interactions in Quantum Electrodynamics
- Propagation of spinors on a noncommutative spacetime: equivalence of the formal and the effective approach
- Black hole spectroscopy and nonlinear echoes in Einstein-Maxwell-scalar theory
- Overdamped quasibound states inside a Schwarzschild black hole
- Massive vector field perturbations in the Schwarzschild spacetime from supersymmetric gauge theory
- Two types of quasinormal modes of Casadio-Fabbri-Mazzacurati brane-world black holes
- The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes
- QNM families: classification and competition
- Horizon brightened acceleration radiation from massive vector fields
- Quantization of electromagnetic field in the Schwarzschild spacetime
- Explicit Triangular Decoupling of the Separated Lichnerowicz Tensor Wave Equation on Schwarzschild into Scalar Regge-Wheeler Equations
- Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
- Normal modes of Proca fields in AdS spacetime
- Greybody factors of Proca fields in Schwarzschild spacetime: A supplemental analysis based on decoupled master equations related to the Frolov-Krtouš-Kubizňák-Santos separation
- Local Group Velocity Distribution inside Superradiant Condensates
- Accreting Schwarzschild-like compact object: Plasma-photon interaction and stability
- Explicit triangular decoupling of the separated vector wave equation on Schwarzschild into scalar Regge-Wheeler equations
- Linear stability of charged warm holes
- Polar perturbations of dilaton-Euler-Heisenberg black holes
- The ghost of vector fields in compact stars
- Plasma-photon interaction in curved spacetime II: collisions, thermal corrections, and superradiant instabilities
- On the analogy between black holes and bathtub vortices
- Geodesic dual spacetime