Time-domain inspiral templates for spinning compact binaries in quasi-circular orbits described by their orbital angular momenta

Abstract

We present a prescription to compute the time-domain gravitational wave (GW) polarization states associated with spinning compact binaries inspiraling along quasi-circular orbits. We invoke the orbital angular momentum $\vek L$ rather than its Newtonian counterpart $\vek L_{\rm N}$ to describe the binary orbits while the two spin vectors are freely specified in an inertial frame associated with the initial direction of the total angular momentum. We show that the use of $\vek L$ to describe the orbits leads to additional 1.5PN order amplitude contributions to the two GW polarization states compared to the $\vek L_{\rm N}$-based approach and discuss few implications of our approach. Further, we provide a plausible prescription for GW phasing based on few theoretical considerations and which may be treated as the natural circular limit to GW phasing for spinning compact binaries in inspiraling eccentric orbits [Gopakumar A and Sch{ä}fer G 2011 {\em Phys. Rev. D} {\bf 84} 124007].

23 pages, 6 figures, Several improvements in the text, one new figure and new references added, version accepted for publication in CQG

References in corpus (13)

• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Effective-one-body model for black-hole binaries with generic mass ratios and spins
• A catalog of 174 binary black-hole simulations for gravitational-wave astronomy
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Comparison between numerical-relativity and post-Newtonian waveforms from spinning binaries: the orbital hang-up case
• ADM canonical formalism for gravitating spinning objects
• Tail effects in the third post-Newtonian gravitational wave energy flux of compact binaries in quasi-elliptical orbits
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• Next-to-next-to-leading order post-Newtonian linear-in-spin binary Hamiltonians
• Parameter estimation for coalescing massive binary black holes with LISA using the full 2-post-Newtonian gravitational waveform and spin-orbit precession
• Canonical Angles In A Compact Binary Star System With Spinning Components: Approximative Solution Through Next-To-Leading-Order Spin-Orbit Interaction for Circular Orbits
• New Class of Gravitational Wave Templates for Inspiralling Compact Binaries

Cited by in corpus (3)

• Neutron Star Physics in the Square Kilometer Array Era : An Indian Perspective
• Analytic approximations, perturbation theory, effective field theory methods and their applications
• Inspiral waveforms for spinning compact binaries in a new precessing convention