Gravitational waves in massive gravity: Waveforms generated by a particle plunging into a black hole and the excitation of quasinormal modes and quasibound states
arXiv:2411.16538 · doi:10.1103/PhysRevD.111.044055
Abstract
With the aim of testing massive gravity in the context of black hole physics, we investigate the gravitational radiation emitted by a massive particle plunging into a Schwarzschild black hole from slightly below the innermost stable circular orbit. To do so, we first construct the quasinormal and quasibound resonance spectra of the spin-2 massive field for odd and even parity. Then, we compute the waveforms produced by the plunging particle and study their spectral content. This allows us to highlight and interpret important phenomena in the plunge regime, including (i) the excitation of quasibound states, with particular emphasis on the amplification and slow decay of the post-ringdown phase of the even-parity dipolar mode due to harmonic resonance; (ii) during the adiabatic phase, the waveform emitted by the plunging particle is very well described by the waveform emitted by the particle living on the innermost stable circular orbit, and (iii) the regularized waveforms and their unregularized counterparts constructed from the quasinormal mode spectrum are in excellent agreement. Finally, we construct, for arbitrary directions of observation and, in particular, outside the orbital plane of the plunging particle, the regularized multipolar waveforms, i.e., the waveforms constructed by summing over partial waveforms.
arXiv comment49 pages, 28 figures. Discussion on instability added. New section on multipolar waveforms included. Few typos corrected to match the published version
References in corpus (71)
- Quasi-Normal Modes of Stars and Black Holes
- Resummation of Massive Gravity
- Effective one-body approach to general relativistic two-body dynamics
- Generalization of the Fierz-Pauli Action
- Black Strings and p-Branes are Unstable
- Massive Gravity
- Theoretical Aspects of Massive Gravity
- Transition from inspiral to plunge in binary black hole coalescences
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
- Instability of the massive Klein-Gordon field on the Kerr spacetime
- A systematic approach to generalisations of General Relativity and their cosmological implications
- Gravitational perturbations of the Schwarzschild spacetime: A practical covariant and gauge-invariant formalism
- Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
- Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
- Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
- The landscape, the swampland and the era of precision cosmology
- Probing non-tensorial polarizations of stochastic gravitational-wave backgrounds with ground-based laser interferometers
- The Transition from Inspiral to Plunge for a Compact Body in a Circular Equatorial Orbit Around a Massive, Spinning Black Hole
- Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
- Massive vector fields on the Schwarzschild spacetime: quasinormal modes and bound states
- Bounding the mass of the graviton using binary pulsar observations
- The last orbit of binary black holes
- Decay of massive scalar field in a Schwarzschild background
- Quasinormal ringing of Kerr black holes: The excitation factors
- Massive quasi-normal mode
- Gravitational Recoil of Inspiralling Black-Hole Binaries to Second Post-Newtonian Order
- Instability of black holes in massive gravity
- On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity
- Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
- Black holes with massive graviton hair
- Quasinormal ringing of Kerr black holes. II. Excitation by particles falling radially with arbitrary energy
- Plunge waveforms from inspiralling binary black holes
- Massive vector field perturbations in the Schwarzschild background: stability and quasinormal spectrum
- Determinants of Block Tridiagonal Matrices
- Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
- Bound states and decay times of fermions in a Schwarzschild black hole background
- Black Brane Viscosity and the Gregory-Laflamme Instability
- Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes
- Exact Solutions in Massive Gravity
- The Polarizations of Gravitational Waves
- Gravitational wave echoes from black holes in massive gravity
- Asymptotic tails of massive gravitons in light of pulsar timing array observations
- Partially massless gravitons do not destroy general relativity black holes
- Gravitational Radiation from Plunging Orbits - Perturbative Study -
- Polarization states of gravitational waves with a massive graviton
- Fast plunges into Kerr black holes
- Black hole solutions in de Rham-Gabadadze-Tolley massive gravity
- Gravitational waves in massive gravity theories: waveforms, fluxes and constraints from extreme-mass-ratio mergers
- Post-ISCO Ringdown Amplitudes in Extreme Mass Ratio Inspiral
- Regge pole description of scattering of scalar and electromagnetic waves by a Schwarzschild black hole
- Comparing numerical and analytical calculations of post-ISCO ringdown amplitudes
- Massive gravity and Fierz-Pauli theory
- Instability and backreaction of massive spin-2 fields around black holes
- Regge pole description of scattering of gravitational waves by a Schwarzschild black hole
- The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
- Scattering from compact objects: Regge poles and the complex angular momentum method
- An alternative description of gravitational radiation from black holes based on the Regge poles of the -matrix and the associated residues
- Gravitational-wave polarizations in generic linear massive gravity and generic higher-curvature gravity
- Probing modified gravitational-wave propagation with extreme mass-ratio inspirals
- Regge pole description of scattering by dirty black holes
- CMB Polarization and Theories of Gravitation with Massive Gravitons
- Asymptotically flat hairy black holes in massive bigravity
- Multipolar gravitational waveforms and ringdowns generated during the plunge from the innermost stable circular orbit into a Schwarzschild black hole
- Black hole binary inspiral and trajectory dominance
- Resonant excitation of black holes by massive bosonic fields and giant ringings
- Electromagnetic radiation generated by a charged particle plunging into a Schwarzschild black hole: Multipolar waveforms and ringdowns
- Waveforms produced by a scalar point particle plunging into a Schwarzschild black hole: Excitation of quasinormal modes and quasibound states
- Scattering and conversion of electromagnetic and gravitational waves by Reissner-Nordström black holes: The Regge pole description
- Waveforms in massive gravity and neutralization of giant black hole ringings
- Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator