Absorption of mass and angular momentum by a black hole: Time-domain formalisms for gravitational perturbations, and the small-hole/slow-motion approximation

Abstract

The first objective of this work is to obtain practical prescriptions to calculate the absorption of mass and angular momentum by a black hole when external processes produce gravitational radiation. These prescriptions are formulated in the time domain within the framework of black-hole perturbation theory. Two such prescriptions are presented. The first is based on the Teukolsky equation and it applies to general (rotating) black holes. The second is based on the Regge-Wheeler and Zerilli equations and it applies to nonrotating black holes. The second objective of this work is to apply the time-domain absorption formalisms to situations in which the black hole is either small or slowly moving. In the context of this small-hole/slow-motion approximation, the equations of black-hole perturbation theory can be solved analytically, and explicit expressions can be obtained for the absorption of mass and angular momentum. The changes in the black-hole parameters can then be understood in terms of an interaction between the tidal gravitational fields supplied by the external universe and the hole's tidally-induced mass and current quadrupole moments. For a nonrotating black hole the quadrupole moments are proportional to the rate of change of the tidal fields on the hole's world line. For a rotating black hole they are proportional to the tidal fields themselves.

arXiv comment36 pages, revtex4, no figures, final published version

References in corpus (28)

• Late-Time Behavior of Stellar Collapse and Explosions: I. Linearized Perturbations
• Gravitational Radiation Reaction to a Particle Motion
• An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• Dynamical Horizons and their Properties
• The motion of point particles in curved spacetime
• Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
• Late-Time Behavior of Stellar Collapse and Explosions: II. Nonlinear Evolution
• Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission: II. Inspiral trajectories and gravitational waveforms
• Gravitational radiation from a particle in circular orbit around a black hole. V. Black-hole absorption and tail corrections
• Dynamics of perturbations of rotating black holes
• The first law for slowly evolving horizons
• Energy and angular momentum flow into a black hole in a binary
• Gravitational waveforms from a point particle orbiting a Schwarzschild black hole
• Gauge invariant perturbations of Schwarzschild black holes in horizon-penetrating coordinates
• Head-on collisions of black holes: the particle limit
• Post-Newtonian Expansion of Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole :Effects of Black Hole Absorption
• Reconstruction of inhomogeneous metric perturbations and electromagnetic four-potential in Kerr spacetime
• Dynamics of Scalar Fields in the Background of Rotating Black Holes
• Energy conservation for dynamical black holes
• Reconstruction of Black Hole Metric Perturbations from Weyl Curvature
• Radiation reaction and the self-force for a point mass in general relativity
• An approximate binary-black-hole metric
• A One-Parameter Family of Time-Symmetric Initial Data for the Radial Infall of a Particle into a Schwarzschild Black Hole
• 3D simulations of linearized scalar fields in Kerr spacetime
• Radiative falloff in the background of rotating black hole
• Retarded coordinates based at a world line, and the motion of a small black hole in an external universe
• Tidal interaction in binary black hole inspiral
• Improvement on the metric reconstruction scheme in the Regge-Wheeler-Zerilli formalism

Cited by in corpus (113)

• Testing the nature of dark compact objects: a status report
• The Effective Field Theorist's Approach to Gravitational Dynamics
• Self-force and radiation reaction in general relativity
• High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions
• Gravitational self force in extreme mass-ratio inspirals
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Gravitational wave snapshots of generic extreme mass ratio inspirals
• Recoil velocities from equal-mass binary black-hole mergers: a systematic investigation of spin-orbit aligned configurations
• Dissipative Effects in the Worldline Approach to Black Hole Dynamics
• Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals
• Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
• Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole
• Multiband Gravitational-Wave Astronomy: Observing binary inspirals with a decihertz detector, B-DECIGO
• Tidal Deformation and Dissipation of Rotating Black Holes
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Spinning Black Holes Fall in Love
• Extraction of Gravitational Waves in Numerical Relativity
• Tidal Love Numbers of Kerr Black Holes
• Non-equilibrium Thermodynamics of Spacetime: the Role of Gravitational Dissipation
• On the Vanishing of Love Numbers for Kerr Black Holes
• Absorption Effects due to Spin in the Worldline Approach to Black Hole Dynamics
• Two-timescale evolution of extreme-mass-ratio inspirals: waveform generation scheme for quasicircular orbits in Schwarzschild spacetime
• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• Massive Boson Superradiant Instability of Black Holes: Nonlinear Growth, Saturation, and Gravitational Radiation
• Tidal coupling of a Schwarzschild black hole and circularly orbiting moon
• Tidal resonance in extreme mass-ratio inspirals
• Nonrotating black hole in a post-Newtonian tidal environment
• GW250114: testing Hawking's area law and the Kerr nature of black holes
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Tidal deformation of a slowly rotating black hole
• A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime
• The Science of the Einstein Telescope
• Gravitational waves from extreme mass-ratio inspirals in Dynamical Chern-Simons gravity
• Nonlinear gravitational self-force: second-order equation of motion
• Perspective on gravitational self-force analyses
• Non-conservative effects on Spinning Black Holes from World-Line Effective Field Theory
• Geometry and dynamics of a tidally deformed black hole
• High accuracy simulations of black hole binaries:spins anti-aligned with the orbital angular momentum
• Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order
• Tidal heating and torquing of a Kerr black hole to next-to-leading order in the tidal coupling
• Probing astrophysical environment with eccentric extreme mass-ratio inspirals
• Metric of a tidally distorted, nonrotating black hole
• Coalescence of black hole--neutron star binaries
• First Law of Mechanics for Compact Binaries on Eccentric Orbits
• No evidence that the majority of black holes in binaries have zero spin
• Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
• Motion of small objects in curved spacetimes: An introduction to gravitational self-force
• Conformally curved binary black hole initial data including tidal deformations and outgoing radiation
• Metric of a tidally perturbed spinning black hole
• Modeling horizon absorption in spinning binary black holes using effective worldline theory
• Improved next-to-leading order tidal heating and torquing of a Kerr black hole
• Effective action and linear response of compact objects in Newtonian gravity
• Spacetime near isolated and dynamical trapping horizons
• Post-Newtonian templates for binary black-hole inspirals: the effect of the horizon fluxes and the secular change in the black-hole masses and spins
• Horizon radiation reaction forces
• Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes III. Quasinormal Pulsations of Schwarzschild and Kerr Black Holes
• Tidal interaction of black holes and Newtonian viscous bodies
• Extreme-mass-ratio inspirals into rotating boson stars: nonintegrability, chaos, and transient resonances
• Horizon-absorbed energy flux in circularized, nonspinning black-hole binaries and its effective-one-body representation
• News from horizons in binary black hole mergers
• Importance of tidal resonances in extreme-mass-ratio inspirals
• Impact of the second order self-forces on the dephasing of the gravitational waves from quasi-circular extreme mass-ratio inspirals
• Intrinsic and extrinsic geometries of a tidally deformed black hole
• Reversible and Irreversible Spacetime Thermodynamics for General Brans-Dicke Theories
• Approximate black hole binary spacetime via asymptotic matching
• Are neutron stars crushed? Gravitomagnetic tidal fields as a mechanism for binary-induced collapse
• Towards establishing the presence or absence of horizons in coalescing binaries of compact objects by using their gravitational wave signals
• On the superradiance-tidal friction correspondence
• A GPU-accelerated mixed-precision WENO method for extremal black hole and gravitational wave physics computations
• Spacetimes containing slowly evolving horizons
• Gravitational waves carry information beyond effective spin parameters but it is hard to extract
• Perturbations of the Vaidya metric in the frequency domain: Quasi-normal modes and tidal response
• Inspiralling, Non-Precessing, Spinning Black Hole Binary Spacetime via Asymptotic Matching
• Horizon Surface Gravity in Corotating Black Hole Binaries
• Hints of spin-orbit resonances in the binary black hole population
• The universal viscosity to entropy density ratio from entanglement
• On the proximity of black hole horizons: lessons from Vaidya
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• Tidal interaction of a small black hole in the field of a large Kerr black hole
• Event Horizon Deformations in Extreme Mass-Ratio Black Hole Mergers
• Scalar and gravitational hair for extreme Kerr black holes
• Asymptotically Matched Spacetime Metric for Non-Precessing, Spinning Black Hole Binaries
• Nonlinear effect of absorption on the ringdown of a spinning black hole
• Isolated and dynamical horizons from a common perspective
• Do floating orbits in extreme mass ratio binary black holes exist?
• Gravitational memory: new results from post-Newtonian and self-force theory
• Frankenstein's Glue: Transition functions for approximate solutions
• Quantum Love
• Tidal-heating/viscous dissipation correspondence in black holes and viscous compact objects
• Gravitational waves from a dust disk around a Schwarzschild black hole
• Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order
• Phenomenological gravitational waveform model of binary black holes incorporating horizon fluxes
• The binary black hole explorer: on-the-fly visualizations of precessing binary black holes
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• Emission Channels from Perturbed Quantum Black Holes
• Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
• Parametrized Tidal Dissipation Numbers of Non-rotating Black Holes
• Probing black hole `charge' from the binary black hole inspiral
• EZ gauge is singular at the event horizon
• Black-Hole Perturbation Plus Post-Newtonian Theory: Hybrid Waveform for Neutron Star Binaries
• Spin-up and mass-gain in hyperbolic encounters of spinning black holes
• Quantum State of Black-Holes Out of Equilibrium
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• Constraining black-hole horizon effects by LIGO-Virgo detections of inspiralling binary black holes
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Numerical Evidence for Non-Axisymmetric Gravitational "Hair" for Extremal Kerr Black Hole Spacetimes with Hyperboloidal Foliations
• Can a radiation gauge be horizon-locking?
• Near-horizon gravitational perturbations of rotating black holes
• Deflection of light by the field of a binary system
• Tidal perturbations of an extreme mass ratio inspiral around a Kerr black hole
• Second order gauge invariant measure of a tidally deformed black hole