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arXiv 2008.04127gr-qc
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快速旋转中子星的动力学:希尔伯特规范方法

Dynamics of Fast Rotating Neutron Stars: An Approach in the Hilbert Gauge

C. J. Krüger, K. D. Kokkotas

摘要:

我们描述了一组时间演化方程及其数值实现的调查非轴对称振荡的快速旋转紧凑的物体在完全广义相对论,考虑到一个动态时空的贡献。我们推导了希尔伯特规范中时空的微扰方程,而流体动力学演化是基于能量动量张量的微扰。在我们的数值实现中,我们使用Kreiss-Oliger耗散,以实现稳定的时间演化。我们的代码具有很高的精度,计算费用很低,我们能够提取的非轴对称模式的致密物体的旋转速率的开普勒极限的频率。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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