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arXiv 0804.3787gr-qcastro-ph
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黑洞-中子星双星的初始数据:一种灵活的高精度谱方法

Initial data for black hole-neutron star binaries: a flexible, high-accuracy spectral method

Francois Foucart, Lawrence E. Kidder, Harald P. Pfeiffer, Saul A. Teukolsky

摘要:

提出了一种新的数值方法来求解黑洞-中子星双星系统的初值问题。该方法利用了初始数据的多域谱表示的灵活性和快速收敛性,以相对较低的计算成本构建高精度的解决方案。我们提供的方法的收敛性测试孤立中子星和无旋双星。在第二种情况下,我们表明,我们可以解决小的不一致,是准平衡制定的一部分,这些不一致是显着小于在以前的作品中观察到的。产生各种各样的初始数据的可能性也表明,通过两个新的配置的启发,从二进制黑洞的结果。首先,我们表明,选择一个修改后的克尔-Schild共形度规,而不是一个平坦的共形度规允许建设的准平衡双星与旋转黑洞。其次,我们在低偏心率轨道上构造双星,这比准平衡系统更接近天体物理学双星。

英文摘要:

We present a new numerical scheme to solve the initial value problem for black hole-neutron star binaries. This method takes advantage of the flexibility and fast convergence of a multidomain spectral representation of the initial data to construct high-accuracy solutions at a relatively low computational cost. We provide convergence tests of the method for both isolated neutron stars and irrotational binaries. In the second case, we show that we can resolve the small inconsistencies that are part of the quasi-equilibrium formulation, and that these inconsistencies are significantly smaller than observed in previous works. The possibility of generating a wide variety of initial data is also demonstrated through two new configurations inspired by results from binary black holes. First, we show that choosing a modified Kerr-Schild conformal metric instead of a flat conformal metric allows for the construction of quasi-equilibrium binaries with a spinning black hole. Second, we construct binaries in low-eccentricity orbits, which are a better approximation to astrophysical binaries than quasi-equilibrium systems.

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