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arXiv 0906.0889gr-qcastro-ph.HE
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黑洞-中子星双星系统的准平衡态

Quasiequilibrium states of black hole-neutron star binaries in the moving-puncture framework

Koutarou Kyutoku, Masaru Shibata, Keisuke Taniguchi

摘要:

在移动穿刺框架下计算了黑洞-中子星双星的广义相对论准平衡态。我们提出了确定准平衡态的三个条件,并将数值结果与切除框架中得到的结果进行了比较。我们发现,在(i)无论轨道间距如何,双星的质量比都接近于1,(ii)轨道间距足够大的情况下,在移动穿刺框架下得到的结果与切除框架和第三后牛顿近似下的结果一致($m_0Ω\alt 0.02$,其中$m_0$和$Ω$分别是总质量和轨道角速度),而与质量比无关。对于$m_0 Ω\agt 0.03$,移动穿刺和切除框架中的结果都或多或少地偏离第三后牛顿近似中的结果。因此,数值结果并没有提供一个准圆态,相反,它们似乎有一个不可忽略的偏心率为0.01- 0.1。我们通过数值模拟表明,在移动穿刺框架中的方法可以提供近似的准圆形状态,其中的偏心率是由一个因素的$\sim 2$小于那些在准平衡由其他方法。

英文摘要:

General relativistic quasiequilibrium states of black hole-neutron star binaries are computed in the moving-puncture framework. We propose three conditions for determining the quasiequilibrium states and compare the numerical results with those obtained in the excision framework. We find that the results obtained in the moving-puncture framework agree with those in the excision framework and with those in the third post-Newtonian approximation for the cases that (i) the mass ratio of the binary is close to unity irrespective of the orbital separation, and (ii) the orbital separation is large enough ($m_0Ω\alt 0.02$ where $m_0$ and $Ω$ are the total mass and the orbital angular velocity, respectively) irrespective of the mass ratio. For $m_0 Ω\agt 0.03$, both of the results in the moving-puncture and excision frameworks deviate, more or less, from those in the third post-Newtonian approximation. Thus the numerical results do not provide a quasicircular state, rather they seem to have a nonnegligible eccentricity of order 0.01--0.1. We show by numerical simulation that a method in the moving-puncture framework can provide approximately quasicircular states in which the eccentricity is by a factor of $\sim 2$ smaller than those in quasiequilibrium given by other approaches.

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