Black hole superradiant instability from ultralight spin-2 fields

Abstract

Ultralight bosonic fields are compelling dark-matter candidates and arise in a variety of beyond-Standard-Model scenarios. These fields can tap energy and angular momentum from spinning black holes through superradiant instabilities, during which a macroscopic bosonic condensate develops around the black hole. Striking features of this phenomenon include gaps in the spin-mass distribution of astrophysical black holes and a continuous gravitational-wave~(GW) signal emitted by the condensate. So far these processes have been studied in great detail for scalar fields and, more recently, for vector fields. Here we take an important step forward in the black-hole superradiance program by computing, analytically, the instability time scale, the direct GW emission, and the stochastic background, in the case of massive tensor (i.e., spin-$2$) fields. Our analysis is valid for any black hole spin and for small boson masses. The instability of massive spin-$2$ fields shares some properties with the scalar and vector cases, but its phenomenology is much richer, for example there exist multiple modes with comparable instability time scales, and the dominant GW signal is hexadecapolar rather than quadrupolar. Electromagnetic and GW observations of spinning black holes in the mass range $M\in (1,10^{10})M_{\odot }$ can constrain the mass of a putative spin-$2$ field in the range $10^{-22}\lesssim m_b{\mathrm{c}}^2/eV\lesssim 10^{-10}$. For $10^{-17}\lesssim m_b{\mathrm{c}}^2/eV\lesssim 10^{-15}$, the space mission LISA could detect the continuous GW signal for sources at redshift $z=20$, or even larger.

arXiv comment13 pages, 4 Figures; v3: minor changes to match published version in Physical Review Letters

References in corpus (80)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Axion Cosmology
• String Axiverse
• Resummation of Massive Gravity
• Ultralight scalars as cosmological dark matter
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Laser Interferometer Space Antenna
• Binary Black Hole Mergers in the first Advanced LIGO Observing Run
• Massive Gravity
• Theoretical Aspects of Massive Gravity
• The Low-Energy Frontier of Particle Physics
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Bimetric Gravity from Ghost-free Massive Gravity
• Resolving the Ghost Problem in non-Linear Massive Gravity
• New experimental approaches in the search for axion-like particles
• Black holes, gravitational waves and fundamental physics: a roadmap
• The construction and use of LISA sensitivity curves
• Exploring the String Axiverse with Precision Black Hole Physics
• Discovering the QCD Axion with Black Holes and Gravitational Waves
• Instability of the massive Klein-Gordon field on the Kerr spacetime
• Science with the space-based interferometer eLISA. I: Supermassive black hole binaries
• Two ten-billion-solar-mass black holes at the centres of giant elliptical galaxies
• The black hole bomb and superradiant instabilities
• New binary black hole mergers in the second observing run of Advanced LIGO and Advanced Virgo
• Gravitational wave searches for ultralight bosons with LIGO and LISA
• Black Hole Superradiance Signatures of Ultralight Vectors
• Probing Ultralight Bosons with Binary Black Holes
• 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
• The Constant Inner-Disk Radius of LMC X-3: A Basis for Measuring Black Hole Spin
• Black holes as particle detectors: evolution of superradiant instabilities
• Black-Hole Bombs and Photon-Mass Bounds
• Black Hole Mergers and the QCD Axion at Advanced LIGO
• 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
• Stochastic and resolvable gravitational waves from ultralight bosons
• The Spin of the Supermassive Black Hole in NGC 3783
• Ultra Light Boson Dark Matter and Event Horizon Telescope Observations of M87*
• The Spectra of Gravitational Atoms
• Gravitational radiation from an axion cloud around a black hole: Superradiant phase
• A Determination of the Spin of the Black Hole Primary in LMC X-1
• Bosenova collapse of axion cloud around a rotating black hole
• Measurement of the spin of the M87 black hole from its observed twisted light
• Gravitational Collider Physics
• Dynamical Measurements of Black Hole Masses in Four Brightest Cluster Galaxies at 100 Mpc
• Superradiant instability of massive vector fields around spinning black holes in the relativistic regime
• Direct constraints on ultra-light boson mass from searches for continuous gravitational waves
• Probing Axions with Event Horizon Telescope Polarimetric Measurements
• Probing the existence of ultralight bosons with a single gravitational-wave measurement
• EHT constraint on the ultralight scalar hair of the M87 supermassive black hole
• Instability of black holes in massive gravity
• Heavy spin-2 Dark Matter
• 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
• Massive Boson Superradiant Instability of Black Holes: Nonlinear Growth, Saturation, and Gravitational Radiation
• A first search for a stochastic gravitational-wave background from ultralight bosons
• Imaging the Molecular Gas in a z=3.9 Quasar Host Galaxy at 0.3" Resolution: A Central, Sub-Kiloparsec Scale Star Formation Reservoir in APM 08279+5255
• Electromagnetic emission from axionic clouds and the quenching of superradiant instabilities
• Black holes with massive graviton hair
• Instability of the Proca field on Kerr spacetime
• Bosenova and Axiverse
• Dynamic Signatures of Black Hole Binaries with Superradiant Clouds
• Search for ultralight bosons in Cygnus X-1 with Advanced LIGO
• A Modern Approach to Superradiance
• Gravitational floating orbits around hairy black holes
• Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes
• Black holes in massive gravity
• On the possibility of GW190425 being a black hole--neutron star binary merger
• Impact of multiple modes on the black-hole superradiant instability
• Follow-up signals from superradiant instabilities of black hole merger remnants
• Tidal effects and disruption in superradiant clouds: a numerical investigation
• Extreme Gravity and Fundamental Physics
• Massive spin-2 field in arbitrary spacetimes -- the detailed derivation
• Massive Graviton Geons
• Superradiance and the Spins of Black Holes from LIGO and X-ray binaries

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