具有准局域状态方程的各向异性星的径向脉动和稳定性
Radial pulsations and stability of anisotropic stars with quasi-local equation of state
摘要：
准局部变量，即其值可以从时空点的任意小邻域内可访问的物理中导出的量，用于构造球对称各向异性流体的状态方程（EoS）。得到了一个参数族的平衡解，使得用标准的M（R）方法评估稳定性成为可能。计算了径向脉动的简正模态，并证实了M（R）方法所预测的不稳定性的发生。作为一个例子，一个稳定的配置与向外增加的能量密度的核心得到一个简单的准本地扩展的多方EoS。研究还发现，当存在压力各向异性时，在较高的表面致密性下会发生稳定性的损失。
英文摘要：
Quasi-local variables, i.e. quantities whose values can be derived from physics accessible within an arbitrarily small neighborhood of a spacetime point, are used to construct the equation of state (EoS) for the anisotropic fluid in the spherical symmetry. One parameter families of equilibrium solutions are obtained making it possible to assess stability properties by means of the standard M(R) method. Normal modes of radial pulsation are computed as well and are found to confirm the onset of instability as predicted by the M(R) method. As an example, a stable configuration with outwardly increasing energy density in the core is obtained with a simple quasi-local extension of the polytropic EoS. It is also found that the loss of stability occurs at higher surface compactness when the anisotropy of pressures is present.
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