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arXiv 1107.1440gr-qcastro-ph.SR
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任意自旋双中子星的初始数据

Initial data for binary neutron stars with arbitrary spins

Wolfgang Tichy

摘要:

一般来说,双星系统中的中子星都是自转的。由于毫秒级自旋星的存在,我们知道这些自旋可能是实质性的。我们认为,几十毫秒量级的周期旋转可能会影响后期的螺旋和合并动力学。因此,最后几个轨道和合并的数值模拟应该从允许任意自旋的初始条件开始。本文讨论了在构造有自旋的双中子星初始数据时可以采用的准平衡近似。利用这些近似,我们能够导出两个新的物质方程。与无旋中子星双星的情况一样,这些方程之一是代数方程,另一个是椭圆方程。如果这些新的物质方程与度规变量方程一起按照Wilson-Mathews或共形薄三明治方法求解,就可以构造出中子星的初始数据。每颗恒星的自旋都由一个可以自由选择的旋转速度来描述,这样人们就可以创造出任意旋转状态的恒星。我们的新的物质方程减少到众所周知的限制,共转和无旋中子星双星。

英文摘要:

In general neutron stars in binaries are spinning. Due to the existence of millisecond pulsars we know that these spins can be substantial. We argue that spins with periods on the order a few dozen milliseconds could influence the late inspiral and merger dynamics. Thus numerical simulations of the last few orbits and the merger should start from initial conditions that allow for arbitrary spins. We discuss quasi-equilibrium approximations one can make in the construction of binary neutron star initial data with spins. Using these approximations we are able to derive two new matter equations. As in the case of irrotational neutron star binaries one of these equations is algebraic and the other elliptic. If these new matter equations are solved together with the equations for the metric variables following the Wilson-Mathews or conformal thin sandwich approach one can construct neutron star initial data. The spin of each star is described by a rotational velocity that can be chosen freely so that one can create stars in arbitrary rotation states. Our new matter equations reduce to the well known limits of both corotating and irrotational neutron star binaries.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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