Relativistic perturbation theory for black-hole boson clouds
arXiv:2309.10021 · doi:10.1103/PhysRevLett.132.051401
Abstract
We develop a relativistic perturbation theory for scalar clouds around rotating black holes. We first introduce a relativistic product and corresponding orthogonality relation between modes, extending a recent result for gravitational perturbations. We then derive the analog of time-dependent perturbation theory in quantum mechanics, and apply it to calculate self-gravitational frequency shifts. This approach supersedes the non-relativistic "gravitational atom" approximation, brings close agreement with numerical relativity, and has practical applications for gravitational-wave astronomy.
arXiv comment7+4 pages, 2+1 figures. v2: improved derivation of the main result, including two new appendices, and other minor changes. matches version accepted for publication in PRL
References in corpus (40)
- Quasinormal modes of black holes and black branes
- Quasi-Normal Modes of Stars and Black Holes
- Gravitational wave searches for ultralight bosons with LIGO and LISA
- Black Hole Superradiance Signatures of Ultralight Vectors
- Probing Ultralight Bosons with Binary Black Holes
- Black hole ringdown: the importance of overtones
- Black-Hole Bombs and Photon-Mass Bounds
- Perturbations of slowly rotating black holes: massive vector fields in the Kerr metric
- Stochastic and resolvable gravitational waves from ultralight bosons
- Black hole superradiance of self-interacting scalar fields
- Nonlinearities in Black Hole Ringdowns
- Nonlinear effects in black hole ringdown
- Quantifying excitations of quasinormal mode systems
- Bosenova collapse of axion cloud around a rotating black hole
- Quasinormal ringing of Kerr black holes: The excitation factors
- Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory
- Stability and quasinormal modes of the massive scalar field around Kerr black holes
- Gravitational Collider Physics
- Probing the existence of ultralight bosons with a single gravitational-wave measurement
- Disks, spikes, and clouds: distinguishing environmental effects on BBH gravitational waveforms
- Massive Vector Fields in Rotating Black-Hole Spacetimes: Separability and Quasinormal Modes
- Directed searches for gravitational waves from ultralight bosons
- Ultralight boson cloud depletion in binary systems
- Gravitational wave signatures of ultralight vector bosons from black hole superradiance
- Black hole superradiant instability from ultralight spin-2 fields
- Sharp Signals of Boson Clouds in Black Hole Binary Inspirals
- The extremal black hole bomb
- Nonlinear effects in the black hole ringdown: absorption-induced mode excitation
- Maxwell's Equations in the Myers-Perry Geometry
- Extreme mass-ratio inspirals into black holes surrounded by scalar clouds
- Dynamical Friction in Gravitational Atoms
- Modeling and searching for a stochastic gravitational-wave background from ultralight vector bosons
- The Quasinormal Modes of Weakly Charged Kerr-Newman Spacetimes
- Role of black hole quasinormal mode overtones for ringdown analysis
- Teukolsky formalism for nonlinear Kerr perturbations
- SuperRad: Modeling the black hole superradiance gravitational waveform
- Conserved currents for Kerr and orthogonality of quasinormal modes
- Termination of Superradiance from a Binary Companion
- Tidal effects and disruption in superradiant clouds: a numerical investigation
- Quasinormal Modes Beyond Kerr
Cited by in corpus (16)
- The excitation of quadratic quasinormal modes for Kerr black holes
- Signatures of ultralight bosons in the orbital eccentricity of binary black holes
- Shadow of slowly rotating Kalb-Ramond black holes
- Gravitational atoms in the braneworld scenario
- Superradiant instability of a charged regular black hole
- Dynamical quasinormal mode excitation
- Self-Gravity Effects of Ultralight Boson Clouds Formed by Black Hole Superradiance
- Probing vector gravitational atoms with eccentric intermediate mass-ratio inspirals
- Self-interaction effects on the Kerr black hole superradiance and their observational implications
- QNM orthogonality relations for AdS black holes
- Lensing by black holes within astrophysical environments
- Superradiant instability of area quantized Kerr black hole with discrete reflectivity
- Natural polynomials for Kerr quasi-normal modes
- Preliminary forecasting constraint on scalar charge with LISA in non-vacuum environments
- Relativistic frequency shifts in gravitational waves from axion clouds
- Trails of clouds in binary black holes