Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach

Abstract

Using the Effective One Body approach, that includes nonperturbative resummed estimates for the damping and conservative parts of the compact binary dynamics, we compute the recoil during the late inspiral and the subsequent plunge of non-spinning black holes of comparable masses moving in quasi-circular orbits. Further, using a prescription that smoothly connects the plunge phase to a perturbed single black hole, we obtain an estimate for the total recoil associated with the binary black hole coalescence. We show that the crucial physical feature which determines the magnitude of the terminal recoil is the presence of a ``burst'' of linear momentum flux emitted slightly before coalescence. When using the most natural expression for the linear momentum flux during the plunge, together with a Taylor-expanded $(v/c{)}^4$ correction factor, we find that the maximum value of the terminal recoil is $\sim 74$ km/s and occurs for a mass ratio $m_2/m_1\simeq 0.38$. We comment, however, on the fact that the above `best bet estimate' is subject to strong uncertainties because the location and amplitude of the crucial peak of linear momentum flux happens at a moment during the plunge where most of the simplifying analytical assumptions underlying the Effective One Body approach are no longer justified. Changing the analytical way of estimating the linear momentum flux, we find maximum recoils that range between 49 and 172 km/s. (Abridged)

46 pages, new figures and discussions, to appear in PRD

References in corpus (33)

• Quasi-Normal Modes of Stars and Black Holes
• Effective one-body approach to general relativistic two-body dynamics
• Transition from inspiral to plunge in binary black hole coalescences
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• Gravitational-Radiation Damping of Compact Binary Systems to Second Post-Newtonian order
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Consequences of gravitational radiation recoil
• Gravitational waveforms from inspiralling compact binaries to second-post-Newtonian order
• Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order
• Gravitational radiation from compact binary systems: gravitational waveforms and energy loss to second post-Newtonian order
• Improved filters for gravitational waves from inspiralling compact binaries
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Gravitational waves from inspiralling compact binaries: Energy loss and waveform to second--post-Newtonian order
• How black holes get their kicks: Gravitational radiation recoil revisited
• Gravitational waves from inspiralling compact binaries: Energy flux to third post-Newtonian order
• The effect of gravitational-wave recoil on the demography of massive black holes
• A constrained scheme for Einstein equations based on Dirac gauge and spherical coordinates
• The 2.5PN gravitational wave polarisations from inspiralling compact binaries in circular orbits
• Binary black holes in circular orbits. II. Numerical methods and first results
• Energy losses by gravitational radiation in inspiralling compact binaries to five halves post-Newtonian order
• Constraints from Gravitational Recoil on the Growth of Supermassive Black Holes at High Redshift
• Binary black holes in circular orbits. I. A global spacetime approach
• Second-post-Newtonian generation of gravitational radiation
• On the multipole expansion of the gravitational field
• Frequency-domain P-approximant filters for time-truncated inspiral gravitational wave signals from compact binaries
• Gravitational Recoil of Inspiralling Black-Hole Binaries to Second Post-Newtonian Order
• Circular orbits of corotating binary black holes: comparison between analytical and numerical results
• The Effect of Gravitational Recoil on Black Holes Forming in a Hierarchical Universe
• The nature of the HE0450-2958 System
• Understanding the fate of merging supermassive black holes
• Possible evidence for the ejection of a supermassive black hole from an ongoing merger of galaxies
• Three-Body Kick to a Bright Quasar out of Its Galaxy During a Merger
• A minimal no-radiation approximation to Einstein's field equations

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