Coupled Pulsations between Polar and Axial Modes in a Slowly Rotating Relativistic Star
Coupled Pulsations between Polar and Axial Modes in a Slowly Rotating Relativistic Star
复制标题
缓慢旋转相对论恒星中极模和轴模之间的耦合脉动
DOI：
10.1143/ptp/90.5.977
复制
发表时间：
1993
影响因子：
--
通讯作者：
Y. Kojima
中科院分区：
文献类型：
--
作者：
Y. Kojima
研究了轴对称脉动的l极模和（l + 1）轴模之间的转动耦合。在缓慢旋转的相对论性星星中，控制它们的方程表明，这些振荡模式在旋转的一阶耦合在一起，而在非旋转的情况下，它们是分离的。特征频率的影响进行了检查。在入射极性引力波引起的振荡中，如果对轴向引力波施加出波条件，则轴向引力波总是被激发，因而不存在特征频率。当两个模式都被施加出射波条件时，耦合系统的本征频率与非旋转星星中的本征频率完全相同，即轴对称扰动的本征频率不受一阶旋转效应的影响
Rotational coupling between l-polar mode and (l + 1)-axial mode of axially symmetric pulsations is studied. Equations governing them in a slowly rotating relativistic star show that these oscillation modes couple together in first order of the rotation, while they are separated in the non-rotating case. The effect on the characteristic frequencies is examined. In the oscillations induced by the in-coming polar gravitational wave, the axial mode is always excited, so that there is no characteristic frequency, if the out-going wave condition is imposed on the axial gravitational wave. If the out-going wave condition is imposed on both modes, the coupled system shows discrete eigen-frequencies, which are exactly the same values as in the non-rotating star, that is, the eigenfrequencies for axisymmetric perturbations are not affected by the first-order rotational effect