Spinning compact binary inspiral: Independent variables and dynamically preserved spin configurations

Abstract

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit, spin-spin and mass quadrupol-mass monopole effects, for generic (noncircular, nonspherical) orbits. Then we analyze the conservative spin dynamics in terms of these variables. We prove that the only binary black hole configuration allowing for spin precessions with equal angular velocities about a common intantaneous axis roughly aligned to the normal of the osculating orbit, is the equal mass and parallel (aligned or antialigned) spin configuration. This analytic result puts limitations on what particular configurations can be selected in numerical investigations of compact binary evolutions, even in those including only the last orbits of the inspiral.

13 pages, 2 figures, subsection IV.A improved, published version

References in corpus (30)

• Large Merger Recoils and Spin Flips From Generic Black-Hole Binaries
• An Intermediate-mass Black Hole of Over 500 Solar Masses in the Galaxy ESO 243-49
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• On the final spin from the coalescence of two black holes
• Estimating the final spin of a binary black hole coalescence
• 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
• Hamiltonian of a spinning test-particle in curved spacetime
• The final mass and spin of black hole mergers
• High-accuracy numerical simulation of black-hole binaries: Computation of the gravitational-wave energy flux and comparisons with post-Newtonian approximants
• Cross section, final spin and zoom-whirl behavior in high-energy black hole collisions
• Anatomy of the binary black hole recoil: A multipolar analysis
• The Distribution of Recoil Velocities from Merging Black Holes
• Zoom-Whirl Orbits in Black Hole Binaries
• ADM canonical formalism for gravitating spinning objects
• The spin-flip phenomenon in supermassive black hole binary mergers
• Modeling gravitational recoil from precessing highly-spinning unequal-mass black-hole binaries
• Recoil velocity at 2PN order for spinning black hole binaries
• Dynamics of Black Hole Pairs I: Periodic Tables
• Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic Limit of Zoom-Whirliness
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. IV. Radiation reaction for binary systems with spin-spin coupling
• Gravitational waveforms for spinning compact binaries
• Application of energy and angular momentum balance to gravitational radiation reaction for binary systems with spin-orbit coupling
• Canonical formulation of gravitating spinning objects at 3.5 post-Newtonian order
• Binary Black Hole Encounters, Gravitational Bursts and Maximum Final Spin
• Ineffectiveness of Padé resummation techniques in post-Newtonian approximations
• A New Template Family For The Detection Of Gravitational Waves From Comparable Mass Black Hole Binaries
• Secular momentum transport by gravitational waves from spinning compact binaries
• The importance of precession in modelling the direction of the final spin from a black-hole merger

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• Stability analysis of the spin evolution fix points in inspiraling compact binaries with black hole, neutron star, gravastar, or boson star components
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