Final spin of a coalescing black-hole binary: an Effective-One-Body approach

Abstract

We update the analytical estimate of the final spin of a coalescing black-hole binary derived within the Effective-One-Body (EOB) approach. We consider unequal-mass non-spinning black-hole binaries. It is found that a more complete account of relevant physical effects (higher post-Newtonian accuracy, ringdown losses) allows the {\it analytical} EOB estimate to `converge towards' the recently obtained {\it numerical} results within 2%. This agreement illustrates the ability of the EOB approach to capture the essential physics of coalescing black-hole binaries. Our analytical approach allows one to estimate the final spin of the black hole formed by coalescing binaries in a mass range ($\nu =m_1{m}_2/(m_1+m_2{)}^2<0.16$) which is not presently covered by numerical simulations.

8 pages, two figures. To appear in Phys. Rev. D

References in corpus (27)

• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• 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
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order
• Spinning-black-hole binaries: The orbital hang up
• Improved filters for gravitational waves from inspiralling compact binaries
• Dimensional regularization of the gravitational interaction of point masses
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Colliding Black Holes: The Close Limit
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• Binary black hole merger dynamics and waveforms
• Gravitational waves from inspiralling compact binaries: Energy flux to third post-Newtonian order
• Modeling gravitational radiation from coalescing binary black holes
• The last orbit of binary black holes
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Comparisons of binary black hole merger waveforms
• Binary black hole merger in the extreme mass ratio limit
• Gravitational waves from pulsating stars: Evolving the perturbation equations for a relativistic star
• Circular orbits of corotating binary black holes: comparison between analytical and numerical results
• Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses
• Plunge waveforms from inspiralling binary black holes
• Accurate Evolution of Orbiting Binary Black Holes

Cited by in corpus (42)

• Physics, Astrophysics and Cosmology with Gravitational Waves
• Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms
• 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
• The final spin from binary black holes in quasi-circular orbits
• Estimating the final spin of a binary black hole coalescence
• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling
• Comparing Effective-One-Body gravitational waveforms to accurate numerical data
• Improved effective-one-body description of coalescing nonspinning black-hole binaries and its numerical-relativity completion
• Accurate Effective-One-Body waveforms of inspiralling and coalescing black-hole binaries
• Faithful Effective-One-Body waveforms of equal-mass coalescing black-hole binaries
• Nonlinear gravitational-wave memory from binary black hole mergers
• The final spin from the coalescence of aligned-spin black-hole binaries
• On the mass radiated by coalescing black-hole binaries
• Mergers of nonspinning black-hole binaries: Gravitational radiation characteristics
• Spin Diagrams for Equal-Mass Black-Hole Binaries with Aligned Spins
• Black-hole binary simulations: the mass ratio 10:1
• Constraining the evolutionary history of Newton's constant with gravitational wave observations
• Modelling the final state from binary black-hole coalescences
• The spin expansion for binary black hole merger: new predictions and future directions
• Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods
• Introductory lectures on the Effective One Body formalism
• Accuracy of binary black hole waveform models for aligned-spin binaries
• The General Relativistic Two Body Problem and the Effective One Body Formalism
• Intermediate-mass-ratio-inspirals in the Einstein Telescope. II. Parameter estimation errors
• Intermediate-mass-ratio-inspirals in the Einstein Telescope: I. Signal-to-noise ratio calculations
• The Black Hole Remnant of Black Hole-Neutron Star Coalescing Binaries
• Universal features of gravitational waves emitted by superkick binary black hole systems
• Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling for two nonprecessing black holes with aligned spins
• Relativistic mergers of compact binaries in clusters: The fingerprint of the spin
• Ineffectiveness of Padé resummation techniques in post-Newtonian approximations
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• Effective-one-body Hamiltonian with next-to-leading order spin-spin coupling
• Merger states and final states of black hole coalescences: a numerical-relativity-assisted effective-one-body approach
• The Effective One Body description of the Two-Body problem
• The general relativistic two body problem
• Black Hole and Neutron Star Binaries: Theoretical Challenges
• Estimating the Final Spin of Binary Black Holes Merger in STU Supergravity
• Gravitational-wave signatures of nonviolent nonlocality
• Modeling Relative Peak Times of Gravitational Wave Harmonics