Gravitational waveforms for precessing, quasicircular compact binaries with multiple scale analysis: Small spin expansion

被引：27

作者：

Chatziioannou, Katerina ^{[1
]}

Klein, Antoine ^{[1
]}

Yunes, Nicolas ^{[1
]}

Cornish, Neil ^{[1
]}

机构：

[1] Montana State Univ, Dept Phys, Bozeman, MT 59718 USA

来源：

PHYSICAL REVIEW D | 2013年 / 88卷 / 06期

基金：

美国国家科学基金会;

关键词：

EQUATION-OF-STATE; SCHWARZSCHILD BLACK-HOLE; PARTICLE; MATTER; ORBITS;

D O I：

10.1103/PhysRevD.88.063011

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We obtain analytical gravitational waveforms in the frequency domain for precessing, quasicircular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution to the precession equations, obtained by expanding in the dimensionless spin parameters and using multiple-scale analysis to separate time scales. We proceed by analytically computing the Fourier transform of time-domain waveform through the stationary phase approximation. We show that the latter is valid for systems with small spins. Finally, we show that these waveforms have a high overlap with numerical waveforms obtained through direct integration of the precession equations and discrete Fourier transformations. The resulting, analytic waveform family is ideal for detection and parameter estimation of gravitational waves emitted by inspiraling binary neutron stars with ground-based detectors.

引用

页数：39

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