Second-order self-force calculation of the gravitational binding energy in compact binaries

Abstract

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical, but calculations of these effects have been beset by obstacles. In this letter we present the first implementation of a complete scheme for second-order self-force computations, specialized to the case of quasicircular orbits about a Schwarzschild black hole. As a demonstration, we calculate the gravitational binding energy of these binaries.

arXiv comment6 pages + supplemental material, 3 figures, revised title and two added references

References in corpus (61)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Effective one-body approach to general relativistic two-body dynamics
• The motion of point particles in curved spacetime
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Self-force and radiation reaction in general relativity
• Gravitational self force in extreme mass-ratio inspirals
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
• A Rigorous Derivation of Gravitational Self-force
• High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• Periastron Advance in Black-Hole Binaries
• The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• Second-order gravitational self-force
• Conservative dynamics of two-body systems at the fourth post-Newtonian approximation of general relativity
• Gravitational self force on a particle in circular orbit around a Schwarzschild black hole
• Bondi-Sachs Formalism
• The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution
• Gravitational self-force and the effective-one-body formalism between the innermost stable circular orbit and the light ring
• Introduction to dynamical horizons in numerical relativity
• Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems
• Gravitational self-force on generic bound geodesics in Kerr spacetime
• Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order
• The self-consistent gravitational self-force
• Gravitational waveforms from a point particle orbiting a Schwarzschild black hole
• Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation
• Second Order Gravitational Self-Force
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Effective-one-body multipolar waveform for tidally interacting binary neutron stars up to merger
• Nonlinear gravitational self-force: second-order equation of motion
• Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
• Research Update on Extreme-Mass-Ratio Inspirals
• A practical, covariant puncture for second-order self-force calculations
• Nonlinear gravitational self-force. I. Field outside a small body
• Evolution of small-mass-ratio binaries with a spinning secondary
• Gravitational radiation reaction and second order perturbation theory
• First Law of Mechanics for Compact Binaries on Eccentric Orbits
• Late time dynamics of scalar perturbations outside black holes: II. Schwarzschild geometry
• First Law of Mechanics for Black Hole Binaries with Spins
• Motion of small objects in curved spacetimes: An introduction to gravitational self-force
• Second-order gravitational self-force
• Applying the effective-source approach to frequency-domain self-force calculations: Lorenz-gauge gravitational perturbations
• Second-order perturbation theory: problems on large scales
• Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry
• A Fast Frequency-Domain Algorithm for Gravitational Self-Force: I, Circular Orbits in Schwarzschild Spacetime
• Second-order perturbation theory: the problem of infinite mode coupling
• Construction of the second-order gravitational perturbations produced by a compact object
• Horizon-absorbed energy flux in circularized, nonspinning black-hole binaries and its effective-one-body representation
• A conservative effect of the second-order gravitational self-force on quasicircular orbits in Schwarzschild spacetime
• First Law of Compact Binary Mechanics with Gravitational-Wave Tails
• Applying the effective-source approach to frequency-domain self-force calculations
• Redshift factor and the first law of binary black hole mechanics in numerical simulations
• Critical phenomena at the threshold of immediate merger in binary black hole systems: the extreme mass ratio case
• Self-force: Computational Strategies
• Conservative second-order gravitational self-force on circular orbits and the effective one-body formalism
• Thermodynamics of a Black Hole with Moon
• Regular second order perturbations of binary black holes: The extreme mass ratio regime
• Detweiler's redshift invariant for spinning particles along circular orbits on a Schwarzschild background

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• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• FastEMRIWaveforms: New tools for millihertz gravitational-wave data analysis
• SEOBNRv5PHM: Next generation of accurate and efficient multipolar precessing-spin effective-one-body waveforms for binary black holes
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• Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
• Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
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• Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
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• Effective Field Theory for Extreme Mass Ratios
• Dissipation in extreme-mass ratio binaries with a spinning secondary
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• Post-Minkowskian Theory Meets the Spinning Effective-One-Body Approach for Two-Body Scattering
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• Highly eccentric EMRI waveforms via fast self-forced inspirals
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• Testing gravity with Extreme-Mass-Ratio Inspirals
• Gravitational memory: new results from post-Newtonian and self-force theory
• Learning orbital dynamics of binary black hole systems from gravitational wave measurements
• Implementation of a GHZ-Teukolsky puncture scheme for gravitational self-force calculations
• Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order
• On the integrability of extended test body dynamics around black holes
• Multi-domain spectral method for self-force calculations
• Second-order gravitational self-force in a highly regular gauge: Covariant and coordinate punctures
• Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order
• Motion of a spinning particle under the conservative piece of the self-force is Hamiltonian to first order in mass and spin
• Worldtube excision method for intermediate-mass-ratio inspirals: scalar-field model in 3+1 dimensions
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Worldtube excision method for intermediate-mass-ratio inspirals: scalar-field toy model
• Complete quasinormal modes of Type-D black holes
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• Assessing the systematic errors of extreme-mass-ratio inspirals waveforms for testing general relativity
• Astrophysics with the Laser Interferometer Space Antenna
• Improving the scalability of Gaussian-process error marginalization in gravitational-wave inference
• Probing Particle Physics with Gravitational Waves
• Stealth Chaos due to Frame Dragging
• Success of the small mass ratio approximation during the final orbits of binary black hole simulations
• Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals
• Analytical model of precessing binaries using post-Newtonian theory in the extreme mass-ratio limit I: General Formalism
• Simple, efficient method of calculating the Detweiler-Whiting singular field to very high order
• The first law of binary black hole scattering
• First Law of Mechanics for Spinning Compact Binaries: Dipolar Order
• Black-Hole Perturbation Plus Post-Newtonian Theory: Hybrid Waveform for Neutron Star Binaries
• A note on the conversion of orbital angles for extreme mass ratio inspirals
• A multi-parameter expansion for the evolution of asymmetric binaries in astrophysical environments
• Extended bodies with spin induced quadrupoles on circular equatorial orbits in Kerr spacetime
• Constants of motion in gravitational self-force theory
• Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries
• The impact of relativistic corrections on the detectability of dark-matter spikes with gravitational waves
• Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit
• Estimating High-Order Time Derivatives of Kerr Orbital Functionals
• Relativistic excitation of compact stars
• Secular evolution of orbital parameters for general bound orbits in Kerr spacetime
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes
• Deformed Schwarzschild horizons in second-order perturbation theory: mass, geometry, and teleology
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order
• Redshift factor and the small mass-ratio limit in binary black hole simulations
• Generic effective sources for first-order in mass-ratio gravitational self-force calculations in Schwarzschild spacetime
• Constructing a gravitational wave analysis pipeline for extremely large mass ratio inspirals
• Hyperboloidal method for frequency-domain self-force calculations