Periastron Advance in Black-Hole Binaries

Abstract

The general relativistic (Mercury-type) periastron advance is calculated here for the first time with exquisite precision in full general relativity. We use accurate numerical relativity simulations of spinless black hole binaries with mass ratios 1/8 < m1/m2 < 1 and compare with the predictions of several analytic approximation schemes. We find the effective-one-body model to be remarkably accurate, and, surprisingly, so also the predictions of self-force theory [replacing m1/m2 --> m1m2/(m1+m2)^2]. Our results can inform a universal analytic model of the two-body dynamics, crucial for ongoing and future gravitational-wave searches.

5 pages, 3 figures; v2: new abstract, updated figures correcting minor error, added references, minor changes to match published version; to appear in Phys. Rev. Lett

References in corpus (6)

• Black-hole binaries, gravitational waves, and numerical relativity
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Beyond the geodesic approximation: conservative effects of the gravitational self-force in eccentric orbits around a Schwarzschild black hole
• Gravitational waves from intermediate-mass-ratio inspirals for ground-based detectors
• Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations

Cited by in corpus (108)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Can environmental effects spoil precision gravitational-wave astrophysics?
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• The SXS Collaboration catalog of binary black hole simulations
• Self-force and radiation reaction in general relativity
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Remnant baryon mass outside of the black hole after a neutron star-black hole merger
• Fourth post-Newtonian effective one-body dynamics
• Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
• Gravitational waveforms for compact binaries from second-order self-force theory
• Second-order gravitational self-force
• Second-order self-force calculation of the gravitational binding energy in compact binaries
• The complete non-spinning effective-one-body metric at linear order in the mass ratio
• Evolution of inspiral orbits around a Schwarzschild black hole
• On the mass radiated by coalescing black-hole binaries
• Gravitational self-force and the effective-one-body formalism between the innermost stable circular orbit and the light ring
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• Gravitational Self-Force Correction to the Binding Energy of Compact Binary Systems
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Gravitational-wave energy flux for compact binaries through second order in the mass ratio
• Simulations of non-equal mass black hole binaries with spectral methods
• The Science of the Einstein Telescope
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Highly eccentric inspirals into a black hole
• Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order
• A Surrogate Model for Gravitational Wave Signals from Comparable- to Large- Mass-Ratio Black Hole Binaries
• Energy versus Angular Momentum in Black Hole Binaries
• Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
• Gravitational self-torque and spin precession in compact binaries
• Research Update on Extreme-Mass-Ratio Inspirals
• Enhancing the SEOBNRv5 effective-one-body waveform model with second-order gravitational self-force fluxes
• Influence of internal structure on the motion of test bodies in extreme mass ratio situations
• First direct comparison of non-disrupting neutron star-black hole and binary black hole merger simulations
• A practical, covariant puncture for second-order self-force calculations
• Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order
• Two-body gravitational spin-orbit interaction at linear order in the mass ratio
• Nonlinear gravitational self-force. I. Field outside a small body
• Evolution of small-mass-ratio binaries with a spinning secondary
• Gravitational self-force on eccentric equatorial orbits around a Kerr black hole
• Tidal invariants for compact binaries on quasi-circular orbits
• Self-force corrections to the periapsis advance around a spinning black hole
• First Law of Mechanics for Compact Binaries on Eccentric Orbits
• Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
• Periastron advance in spinning black hole binaries: comparing effective-one-body and Numerical Relativity
• Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity
• Self-force via $m$-mode regularization and 2+1D evolution: III. Gravitational field on Schwarzschild spacetime
• Reducing orbital eccentricity in initial data of binary neutron stars
• Comprehensive numerical relativity -- effective-one-body comparison to inform improvements in waveform models for binary neutron star systems
• First Law of Mechanics for Black Hole Binaries with Spins
• Comparison Between Self-Force and Post-Newtonian Dynamics: Beyond Circular Orbits
• NR/HEP: roadmap for the future
• Frequency-domain algorithm for the Lorenz-gauge gravitational self-force
• Applying the effective-source approach to frequency-domain self-force calculations: Lorenz-gauge gravitational perturbations
• Analytical high-order post-Newtonian expansions for spinning extreme mass ratio binaries
• Second-order perturbation theory: problems on large scales
• Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry
• Quasi-circular inspirals and plunges from non-spinning effective-one-body Hamiltonians with gravitational self-force information
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits
• Self-Force and Green Function in Schwarzschild spacetime via Quasinormal Modes and Branch Cut
• Eccentric self-forced inspirals into a rotating black hole
• Second-order gravitational self-force in a highly regular gauge
• Isofrequency pairing of geodesic orbits in Kerr geometry
• Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
• Spin-orbit precession for eccentric black hole binaries at first order in the mass ratio
• A conservative effect of the second-order gravitational self-force on quasicircular orbits in Schwarzschild spacetime
• Spin-dependent two-body interactions from gravitational self-force computations
• Gravitational self-force in the ultra-relativistic limit: The 'large-N' expansion
• Numerical simulations of black-hole binaries and gravitational wave emission
• The General Relativistic Two Body Problem and the Effective One Body Formalism
• First Law of Compact Binary Mechanics with Gravitational-Wave Tails
• Applying the effective-source approach to frequency-domain self-force calculations
• New Kludge Scheme for the Construction of Approximate Waveforms for 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
• Redshift factor and the first law of binary black hole mechanics in numerical simulations
• High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime
• Fundamental frequencies and resonances from eccentric and precessing binary black hole inspirals
• Self-force: Computational Strategies
• The scalar Green function of the Kerr spacetime
• Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime
• Self-force correction to geodetic spin precession in Kerr spacetime
• Accuracy of the Post-Newtonian Approximation for Extreme-Mass Ratio Inspirals from Black-hole Perturbation Approach
• Horizon Surface Gravity in Corotating Black Hole Binaries
• Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals
• Learning orbital dynamics of binary black hole systems from gravitational wave measurements
• Black-hole head-on collisions in higher dimensions
• Analytic approximations, perturbation theory, effective field theory methods and their applications
• Survey of gravitational wave memory in intermediate mass ratio binaries
• Post-adiabatic waveform-generation framework for asymmetric precessing binaries
• Parametrized tests of general relativity using eccentric compact binaries
• Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order
• Gravitational waveforms for high spin and high mass-ratio binary black holes: A synergistic use of numerical-relativity codes
• Merger states and final states of black hole coalescences: a numerical-relativity-assisted effective-one-body approach
• Transition-to-plunge self-force waveforms with a spinning primary
• Analytical determination of the periastron advance in spinning binaries from self-force computations
• Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results
• Post-adiabatic self-force waveforms: slowly spinning primary and precessing secondary
• The general relativistic two body problem
• Success of the small mass ratio approximation during the final orbits of binary black hole simulations
• Black-Hole Perturbation Plus Post-Newtonian Theory: Hybrid Waveform for Neutron Star Binaries
• Extended mass and spheroidal deformation effects on epicyclic frequencies and periapsis shift in quasi-circular orbits
• Waveforms and fluxes: Towards a self-consistent effective one body waveform model for nonprecessing, coalescing black-hole binaries for third generation detectors
• Redshift factor and the small mass-ratio limit in binary black hole simulations
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits