快速旋转中子星偏振辐射的扁球形Schwarzschild近似
Oblate Schwarzschild approximation for polarized radiation from rapidly rotating neutron stars
摘要：
本文用扁圆史瓦西近似建立了一个完整的理论，用于计算从快速旋转的中子星（NS）表面辐射的观测Stokes参数。我们占的偏振面的旋转，由于相对论效应沿路径从恒星表面的观察者。计算结果与用\textsc{arcmancer}程序进行全数值广义相对论射线追踪所得结果一致。我们表明，所获得的偏振角（PA）的配置文件可能会有很大的不同，从一个球形的恒星。我们证明了，假设不正确的形状的恒星可能会导致偏置约束NS参数时，拟合偏振数据。使用一个简化的模型，我们还做了一个粗略的估计如何准确的吸积NS的几何参数可以确定使用即将到来的偏振仪，如成像X射线偏振仪探测器（IXPE）或增强的X射线定时和偏振（eXTP）任务的X射线偏振测量。
英文摘要：
We have developed a complete theory for the calculation of the observed Stokes parameters for radiation emitted from the surface of a rapidly rotating neutron star (NS) using the oblate Schwarzschild approximation. We accounted for the rotation of the polarization plane due to relativistic effects along the path from the stellar surface to the observer. The results were shown to agree with those obtained by performing full numerical general relativistic ray-tracing with the \textsc{arcmancer} code. We showed that the obtained polarization angle (PA) profiles may differ substantially from those derived for a spherical star. We demonstrated that assuming incorrect shape for the star can lead to biased constraints for NS parameters when fitting the polarization data. Using a simplified model, we also made a rough estimate of how accurately the geometrical parameters of an accreting NS can be determined using the X-ray polarization measurements of upcoming polarimeters like the Imaging X-ray Polarimeter Explorer (IXPE) or the enhanced X-ray Timing and Polarimetry (eXTP) mission.
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