Computation of gravitational waves from inspiraling binary neutron stars in quasiequilibrium circular orbits: Formulation and calibration
Computation of gravitational waves from inspiraling binary neutron stars in quasiequilibrium circular orbits: Formulation and calibration
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准平衡圆形轨道上的吸气双中子星引力波的计算：公式化和校准
DOI：
10.1103/physrevd.64.104017
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发表时间：
2001
影响因子：
5
通讯作者：
K. Uryū
中科院分区：
文献类型：
--
作者：
M. Shibata;K. Uryū
用本文提出的近似方法计算了准平衡圆轨道中子双星的引力波。在该方法的第一步中，我们准备了在准平衡圆轨道上的广义相对论无旋中子星，忽略引力波。本文采用所谓的三度规共形平坦近似来获得准平衡态。在第二步中，我们计算引力波，在准平衡态的背景时空中求解线性微扰方程。通过与后牛顿引力波的波形和光度的比较，证明了该方法可以得到精确的引力波波形和光度。结果表明，中子星的潮汐形变和强广义相对论引力的影响修正了近轨道致密中子星双星的后牛顿结果。我们指出，准平衡态的系统误差的大小与共形平坦近似是相当大的密切和紧凑的双中子星。提出了几种提高准平衡态计算精度的方法。
Gravitational waves from binary neutron stars in quasiequilibrium circular orbits are computed using an approximate method which we propose in this paper. In the first step of this method, we prepare general relativistic irrotational binary neutron stars in a quasiequilibrium circular orbit, neglecting gravitational waves. We adopt the so-called conformal flatness approximation for a three-metric to obtain the quasiequilibrium states in this paper. In the second step, we compute gravitational waves, solving linear perturbation equations in the background spacetime of the quasiequilibrium states. Comparing numerical results with post Newtonian waveforms and luminosity of gravitational waves from two point masses in circular orbits, we demonstrate that this method can produce accurate waveforms and luminosity of gravitational waves. It is shown that the effects of tidal deformation of neutron stars and strong general relativistic gravity modify the post Newtonian results for compact binary neutron stars in close orbits. We indicate that the magnitude of a systematic error in quasiequilibrium states associated with the conformal flatness approximation is fairly large for close and compact binary neutron stars. Several formulations for improving the accuracy of quasiequilibrium states are proposed.