Tidal love numbers of neutron stars

被引：833

作者：

Hinderer, Tanja ^{[1
]}

机构：

[1] Cornell Univ, Ctr Radiophys & Space Res, Ithaca, NY 14853 USA

来源：

ASTROPHYSICAL JOURNAL | 2008年 / 677卷 / 02期

基金：

美国国家科学基金会;

关键词：

equation of state; gravitation; relativity; stars : neutron;

D O I：

10.1086/533487

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

For a variety of fully relativistic polytropic neutron star models we calculate the star's tidal Love number k(2). Most realistic equations of state for neutron stars can be approximated as a polytrope with an effective index n approximate to 0.5-1.0. The equilibrium stellar model is obtained by numerical integration of the Tolman-Oppenheimer-Volkhov equations. We calculate the linear l = 2 static perturbations to the Schwarzschild spacetime following the method of Thorne and Campolattaro. Combining the perturbed Einstein equations into a single second-order differential equation for the perturbation to the metric coefficient g(tt) and matching the exterior solution to the asymptotic expansion of the metric in the star's local asymptotic rest frame gives the Love number. Our results agree well with the Newtonian results in the weak field limit. The fully relativistic values differ from the Newtonian values by up to similar to 24%. The Love number is potentially measurable in gravitational wave signals from inspiralling binary neutron stars.

引用

页码：1216 / 1220

页数：5

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