A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime

Abstract

We present a new approach to solve the 2+1 Teukolsky equation for gravitational perturbations of a Kerr black hole. Our approach relies on a new horizon penetrating, hyperboloidal foliation of Kerr spacetime and spatial compactification. In particular, we present a framework for waveform generation from point-particle perturbations. Extensive tests of a time domain implementation in the code {\it Teukode} are presented. The code can efficiently deliver waveforms at future null infinity. As a first application of the method, we compute the gravitational waveforms from inspiraling and coalescing black-hole binaries in the large-mass-ratio limit. The smaller mass black hole is modeled as a point particle whose dynamics is driven by an effective-one-body-resummed analytical radiation reaction force. We compare the analytical angular momentum loss to the gravitational wave angular momentum flux. We find that higher-order post-Newtonian corrections are needed to improve the consistency for rapidly spinning binaries. Close to merger, the subdominant multipolar amplitudes (notably the $m=0$ ones) are enhanced for retrograde orbits with respect to prograde ones. We argue that this effect mirrors nonnegligible deviations from circularity of the dynamics during the late-plunge and merger phase. We compute the gravitational wave energy flux flowing into the black hole during the inspiral using a time-domain formalism proposed by Poisson. Finally, a self-consistent, iterative method to compute the gravitational wave fluxes at leading-order in the mass of the particle is presented. For a specific case study with $\hat{a}$=0.9, a simulation that uses the consistent flux differs from one that uses the analytical flux by $\sim 35$ gravitational wave cycles over a total of about $250$ cycles. In this case the horizon absorption accounts for about $+5$ gravitational wave cycles.

References in corpus (65)

• Quasinormal modes of black holes and black branes
• The motion of point particles in curved spacetime
• Gravitational Radiation Reaction to a Particle Motion
• An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• Analytic black hole perturbation approach to gravitational radiation
• Gravitational self force in extreme mass-ratio inspirals
• The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
• Gravitational perturbations of the Schwarzschild spacetime: A practical covariant and gauge-invariant formalism
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• An improved analytical description of inspiralling and coalescing black-hole binaries
• 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
• Gauge-invariant Non-spherical Metric Perturbations of Schwarzschild Black-Hole Spacetimes
• Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
• Absorption of mass and angular momentum by a black hole: Time-domain formalisms for gravitational perturbations, and the small-hole/slow-motion approximation
• Dynamics of perturbations of rotating black holes
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Approximating the inspiral of test bodies into Kerr black holes
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• Gravitational radiation reaction along general orbits in the effective one-body formalism
• Error-analysis and comparison to analytical models of numerical waveforms produced by the NRAR Collaboration
• Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
• Binary black hole merger in the extreme mass ratio limit
• Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
• Gravitational waveforms from a point particle orbiting a Schwarzschild black hole
• Gravitational radiation from a particle in circular orbit around a black hole. VI. Accuracy of the post-Newtonian expansion
• A geometric framework for black hole perturbations
• Testing the Cosmic Censorship Conjecture with point particles: the effect of radiation reaction and the self-force
• Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation
• Late-time dynamics of rapidly rotating black holes
• Towards adiabatic waveforms for inspiral into Kerr black holes: II. Dynamical sources and generic orbits
• New Numerical Methods to Evaluate Homogeneous Solutions of the Teukolsky Equation
• Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
• Head-on collisions of black holes: the particle limit
• An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole
• Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
• Modeling multipolar gravitational-wave emission from small mass-ratio mergers
• Null infinity waveforms from extreme-mass-ratio inspirals in Kerr spacetime
• Binary black hole coalescence in the large-mass-ratio limit: the hyperboloidal layer method and waveforms at null infinity
• Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform
• Hyperboloidal layers for hyperbolic equations on unbounded domains
• Binary black hole merger gravitational waves and recoil in the large mass ratio limit
• Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
• Numerical solution of the 2+1 Teukolsky equation on a hyperboloidal and horizon penetrating foliation of Kerr and application to late-time decays
• Numerical integration of the Teukolsky Equation in the time domain
• Horizon-absorption effects in coalescing black-hole binaries: An effective-one-body study of the non-spinning case
• A One-Parameter Family of Time-Symmetric Initial Data for the Radial Infall of a Particle into a Schwarzschild Black Hole
• A superradiance resonance cavity outside rapidly rotating black holes
• Spherical harmonic modes of 5.5 post-Newtonian gravitational wave polarizations and associated factorized resummed waveforms for a particle in circular orbit around a Schwarzschild black hol
• Spacelike matching to null infinity
• A Finite Element Computation of the Gravitational Radiation emitted by a Point-like object orbiting a Non-rotating Black Hole
• What does a strongly excited 't Hooft-Polyakov magnetic monopole do?
• Gravitational perturbations of Schwarzschild spacetime at null infinity and the hyperboloidal initial value problem
• Perturbative evolution of particle orbits around Kerr black holes: time domain calculation
• Asymptotics of Schwarzschild black hole perturbations
• Horizon-absorbed energy flux in circularized, nonspinning black-hole binaries and its effective-one-body representation
• Numerical relativity with the conformal field equations
• Teukolsky evolution of particle orbits around Kerr black holes in the time domain: elliptic and inclined orbits
• Perturbations of the Kerr spacetime in horizon penetrating coordinates
• Gravitational recoil in nonspinning black hole binaries: the span of test-mass results

Cited by in corpus (72)

• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• New Horizons for Fundamental Physics with LISA
• Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
• Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
• Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
• Matter imprints in waveform models for neutron star binaries: tidal and self-spin effects
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• GW190521 as a dynamical capture of two nonspinning black holes
• Tidal heating as a discriminator for horizons in extreme mass ratio inspirals
• The Science of the Einstein Telescope
• A Multipolar Effective One Body Model for Non-Spinning Black Hole Binaries
• Black hole perturbation theory and gravitational self-force
• Effective-one-body waveforms from dynamical captures in black hole binaries
• Extracting linear and nonlinear quasinormal modes from black hole merger simulations
• Black hole scalarization induced by the spin -- 2+1 time evolution
• Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
• Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
• Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
• Effective one-body model for extreme-mass-ratio spinning binaries on eccentric equatorial orbits: testing radiation reaction and waveform
• Extreme mass-ratio inspirals around a spinning horizonless compact object
• Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
• Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes
• Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
• Hyperboloidal slicing approach to quasi-normal mode expansions: the Reissner-Nordström case
• Hyperboloidal framework for the Kerr spacetime
• Simulations of rotating neutron star collapse with the puncture gauge: end state and gravitational waveforms
• Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
• Faithful effective-one-body waveform of small-mass-ratio coalescing black hole binaries: the eccentric, nonspinning, case
• Hyperboloidal approach for static spherically symmetric spacetimes: a didactical introduction and applications in black-hole physics
• Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
• New Avenue for Accurate Analytical Waveforms and Fluxes for Eccentric Compact Binaries
• Scalar perturbations on the background of Kerr black holes in the quadratic dynamical Chern-Simons gravity
• iResum: a new paradigm for resumming gravitational wave amplitudes
• The most powerful astrophysical events: Gravitational-wave peak luminosity of binary black holes as predicted by numerical relativity
• Impact of Numerical Relativity information on effective-one-body waveform models
• "Flux-balance formulae" for extreme mass-ratio inspirals
• The light ring and the appearance of matter accreted by black holes
• Spin-induced scalarization of Kerr black holes with a massive scalar field
• Object picture of scalar field perturbation on Kerr black hole in scalar-Einstein-Gauss-Bonnet theory
• Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. III: the spinning test-body terms
• An analytic family of post-merger template waveforms
• Numerical-relativity validation of effective-one-body waveforms in the intermediate-mass-ratio regime
• Self-force framework for transition-to-plunge waveforms
• Hushing black holes: tails in dynamical spacetimes
• Cauchy-horizon singularity inside perturbed Kerr black holes
• A GPU-accelerated mixed-precision WENO method for extremal black hole and gravitational wave physics computations
• Slow evolution of the metric perturbation due to a quasicircular inspiral into a Schwarzschild black hole
• The antikick strikes back: recoil velocities for nearly-extremal binary black hole mergers in the test-mass limit
• Post-Newtonian templates for gravitational waves from compact binary inspirals
• Testing the nature of dark compact objects with gravitational waves
• Scalar Fields in Black Hole Spacetimes
• Scalar fields around a rotating loop quantum gravity black hole: Waveform, quasi-normal modes and superradiance
• Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
• Real modes and null memory contributions in effective-one-body models
• Height-function-based 4D reference metrics for hyperboloidal evolution
• Spin-induced scalarization of Kerr-Newman black holes in Einstein-Maxwell-scalar theory
• Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results
• Extreme Mass-Ratio Binary Black Hole Merger: Characteristics of the Test-Particle Limit
• Toward exponentially-convergent simulations of extreme-mass-ratio inspirals: A time-domain solver for the scalar Teukolsky equation with singular source terms
• Eccentric Pairs: Analytic Gravitational Waves from Binary Black Holes in Elliptic Orbits
• Numerical Evidence for Non-Axisymmetric Gravitational "Hair" for Extremal Kerr Black Hole Spacetimes with Hyperboloidal Foliations
• Slicing black hole spacetimes
• Asymptotically matched quasi-circular inspiral and transition-to-plunge in the small mass ratio expansion
• Extreme mass ratio inspirals into black holes surrounded by matter: Resonance crossings
• Binary black holes in the heat of merger
• A numerical approach to particle creation in accelerating toy models
• Hyperboloidal method for frequency-domain self-force calculations
• Assessment of Effective-One-Body Radiation Reactions for Generic Planar Orbits
• Analytical solutions of bound timelike geodesic orbits in effective-one-body frame
• Waveforms and fluxes: Towards a self-consistent effective one body waveform model for nonprecessing, coalescing black-hole binaries for third generation detectors
• Exploiting Newton-factorized, 2PN-accurate, waveform multipoles in effective-one-body models for spin-aligned noncircularized binaries