相对论性轴对称环面的振荡及其对中子星X射线双星kHz-QPOs模型的启示
Oscillations of relativistic axisymmetric tori and implications for modelling kHz-QPOs in neutron-star X-ray binaries
摘要：
我们进行了一个整体的线性微扰分析，并研究了相对论性的，非自引力环面围绕中子星在慢旋转极限近似下的振荡性质。推广在Schwarzschild和Kerr背景下所做的工作，我们考虑Hartle-Thorne时空中垂直积分环面的轴对称振荡。平衡模型是通过选择一些不同的非开普勒分布的特定角动量，允许光盘大小$L \sim 0.5 - 600$引力半径。我们的结果，得到解决后的整体特征值问题计算的轴对称$p$模式，表明这种振荡模式可以解释大多数观察到的较低（$ν_L$）和较高（$ν_U$）的高频率准周期振荡的Sco X-1，和一些Z源和环礁源与$ν_L\ gtrsim 500$ Hz。然而，当$ν_L \lesssim 500$ Hz，$p$ -模振荡不能解释在中子星低质量X射线双星中观测到的上下高频准周期振荡之间的线性关系$ν_U = A ν_L + B$，$B \neq 0$。
英文摘要：
We perform a global linear perturbative analysis, and investigate the oscillation properties of relativistic, non-selfgravitating tori orbiting around neutron stars in the slow rotation limit approximation. Extending the work done in Schwarzschild and Kerr backgrounds, we consider the axisymmetric oscillations of vertically integrated tori in the Hartle-Thorne spacetime. The equilibrium models are constructed by selecting a number of different non-Keplerian distributions of specific angular momentum, allowing for disc sizes $L \sim 0.5 - 600$ gravitational radii. Our results, obtained after solving a global eigenvalue problem to compute the xisymmetric $p$-modes, indicate that such oscillation modes could account with most observed lower ($ν_L$) and upper ($ν_U$) high frequency quasi-periodic oscillations for Sco X-1, and for some Z sources and Atoll sources with $ν_L\ gtrsim 500$ Hz. However, when $ν_L \lesssim 500$ Hz, $p$-modes oscillations do not account for the linear relation $ν_U = A ν_L + B$, $B \neq 0$ between the upper and the lower high frequency quasi-periodic oscillations that are observed in neutron star low-mass X-ray binaries.
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