因果相容和动态稳定中子星模型的流体静力平衡
Hydrostatic equilibrium of causally consistent and dynamically stable neutron star models
摘要：
结果表明，由于平衡构型不满足“相容性准则"，对应于最硬状态方程的质量-半径$(M-R)$关系不能提供平衡构型动力学稳定的充分必要条件.在这方面，我们构建的核心包络模型，使这些序列的每个成员满足因果关系条件，$v = c = 1$，在中心的极端情况下，像最僵硬的EOS组成的序列。然后，我们证明了对应于上述核-包络模型序列的$M-R$关系，只有当这些序列的“相容性准则”“适当”满足时，才能提供动力稳定的充要条件。然而，即使当$M-R$关系式不能提供平衡构型动力学稳定性的充分必要条件时，“相容性准则”的满足仍然是可以满足的。在延续以前的研究结果，这些结果明确表明，“兼容性准则”{ \em独立}提供，一般来说，{ \em必要}和{ \em充分}条件的流体静力平衡的任何规则的序列。除了它的基本特征，这项研究还可以同时解释，这两个（高以及低）值的毛刺愈合参数分别观察到的螃蟹和船帆座类恒星，在星震模型的毛刺产生的基础上。
英文摘要：
We show that the mass-radius $(M-R)$ relation corresponding to the stiffest equation of state (EOS) does not provide the necessary and sufficient condition of dynamical stability for the equilibrium configurations, since such configurations can not satisfy the `compatibility criterion'. In this connection, we construct sequences composed of core-envelope models such that, like the stiffest EOS, each member of these sequences satisfy the extreme case of causality condition, $v = c = 1$, at the centre. We, thereafter, show that the $M-R$ relation corresponding to the said core-envelope model sequences can provide the necessary and sufficient condition of dynamical stability only when the `compatibility criterion' for these sequences is `appropriately' satisfied. However, the fulfillment of `compatibility criterion' can remain satisfied even when the $M-R$ relation does not provide the necessary and sufficient condition of dynamical stability for the equilibrium configurations. In continuation to the results of previous study, these results explicitly show that the `compatibility criterion' {\em independently} provides, in general, the {\em necessary} and {\em sufficient} condition of hydrostatic equilibrium for any regular sequence. Beside its fundamental feature, this study can also explain simultaneously, both (the higher as well as lower) values of the glitch healing parameter observed for the Crab and the Vela-like pulsars respectively, on the basis of starquake model of glitch generation.
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