论文标题
快速旋转中子星的动力学：希尔伯特仪表中的一种方法
Dynamics of Fast Rotating Neutron Stars: An Approach in the Hilbert Gauge
论文作者
论文摘要
我们描述了一组时间演化方程及其数值实现，以研究动态时空的贡献，以全面相对论研究快速旋转紧凑物体的非轴对称振荡。我们得出了希尔伯特仪表中时空的扰动方程，而流体动力学进化是基于能量量张量的扰动。在我们的数值实施中，我们使用Kreiss-Oliger耗散来实现稳定的时间演变。我们的代码具有相当低的计算费用的高精度，我们能够提取旋转速率最高到开普勒极限的紧凑型物体的非轴对称模式的频率。
We describe a set of time evolution equations and its numerical implementation for the investigation of non-axisymmetric oscillations of rapidly rotating compact objects in full General Relativity, taking into account the contribution of a dynamic spacetime. We derive the perturbation equations for the spacetime in the Hilbert gauge, while the hydrodynamical evolution is based on perturbations of the energy-momentum tensor. In our numerical implementation, we use Kreiss-Oliger dissipation in order to achieve a stable time evolution. Our code features high accuracy at comparably low computational expense and we are able to extract the frequencies of non-axisymmetric modes of compact objects with rotation rates up to the Kepler limit.
