Spin-Orbit Resonance and the Evolution of Compact Binary Systems

Abstract

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that exhibit resonance behavior, characterized by small librations of the spin vectors around a fixed orientation. Due to the loss of energy and orbital angular momentum through radiation reaction, systems can eventually be captured into these resonance orientations. By investigating the long-term evolution of compact binaries with a variety of initial conditions, we find that the distribution in parameter space can be strongly affected by resonance captures. This has the effect of significantly reducing the size of search space for gravitational wave sources, in turn improving the chances of detecting such sources through methods of template matching. Furthermore, by calculating the expected spin distribution at the end of the inspiral phase, we can predict what are the most likely initial conditions for the plunge phase, a result of great interest for numerical relativity calculations.

19 pages, 10 figures, submitted to Phys. Rev. D

References in corpus (6)

• A Double-Pulsar System - A Rare Laboratory for Relativistic Gravity and Plasma Physics
• How black holes get their kicks: Gravitational radiation recoil revisited
• A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binaries
• A quasi-physical family of gravity-wave templates for precessing binaries of spinning compact objects: Application to double-spin precessing binaries
• Constraints on the Formation of PSR J0737-3039: the most probable isotropic kick magnitude
• Searching for Gravitational Waves from the Inspiral of Precessing Binary Systems: Astrophysical Expectations and Detection Efficiency of "Spiky'' Templates

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