The complete non-spinning effective-one-body metric at linear order in the mass ratio

Abstract

Using the main result of a companion paper, in which the binding energy of a circular-orbit non-spinning compact binary system is computed at leading-order beyond the test-particle approximation, the exact expression of the effective-one-body (EOB) metric component g^eff_tt is obtained through first order in the mass ratio. Combining these results with the recent gravitational self-force calculation of the periastron advance for circular orbits in the Schwarzschild geometry, the EOB metric component g^eff_rr is also determined at linear order in the mass ratio. These results assume that the mapping between the real and effective Hamiltonians at the second and third post-Newtonian (PN) orders holds at all PN orders. Our findings also confirm the advantage of resumming the PN dynamics around the test-particle limit if the goal is to obtain a flexible model that can smoothly connect the test-mass and equal-mass limits.

11 pages, 2 figures; appendix generalized to include the logarithmic contributions in the post-Newtonian Hamiltonian. Results unchanged. Matches version to be published in Phys. Rev. D

References in corpus (29)

• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-spinning, equal-mass black holes
• An improved analytical description of inspiralling and coalescing black-hole binaries
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• High-Order Post-Newtonian Fit of the Gravitational Self-Force for Circular Orbits in the Schwarzschild Geometry
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Effective-one-body waveforms calibrated to numerical relativity simulations: coalescence of non-precessing, spinning, equal-mass black holes
• High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants
• Faithful Effective-One-Body waveforms of equal-mass coalescing black-hole binaries
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Binary black hole merger in the extreme mass ratio limit
• Orbital Evolution of Extreme-Mass-Ratio Black-Hole Binaries with Numerical Relativity
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• Extreme Mass-Ratio Inspirals in the Effective-One-Body Approach: Quasi-Circular, Equatorial Orbits around a Spinning Black Hole
• Accurate gravitational waveforms for binary-black-hole mergers with nearly extremal spins
• Binary black hole merger in the extreme-mass-ratio limit: a multipolar analysis
• Modeling multipolar gravitational-wave emission from small mass-ratio mergers
• Conservative, gravitational self-force for a particle in circular orbit around a Schwarzschild black hole in a Radiation Gauge
• Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincaré invariance
• Binary black hole coalescence in the extreme-mass-ratio limit: testing and improving the effective-one-body multipolar waveform

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