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arXiv 0804.4572astro-phgr-qc
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一个新的动力学时空的广义相对论磁流体力学程序

A new general relativistic magnetohydrodynamics code for dynamical spacetimes

Pablo Cerdá-Durán, José A. Font, Luis Antón, Ewald Müller

摘要:

我们提出了一个新的数值代码,它解决了广义相对论磁流体力学(GRMHD)方程耦合到爱因斯坦方程的动态时空的共形平坦近似内的演变。该程序的主要目的是研究同时存在强磁场和强引力场的天体物理现象,如恒星核的磁旋转坍缩、伽玛暴的Eksar模型和中子星的演化。该代码是基于现有的和彻底测试纯流体动力学代码和其扩展,以适应弱磁化流体(被动磁场近似)。我们在这里提出的数值代码是基于高分辨率的冲击捕获计划,以解决GRMHD方程与通量约束传输方法,以确保螺线管条件的磁场。由于设想的天体物理学应用不会偏离球对称太多,共形平坦性条件近似用于爱因斯坦方程的制定。此外,该代码可以处理几个状态方程,从简单的解析表达式到微观物理列表。在本文中,我们提出了严格的测试,我们的新GRMHD数值代码,这表明它有能力处理出现在天体物理的情况下,该代码的目的,即相对论冲击,高度磁化的流体,磁化中子星的平衡配置的所有方面。作为一个应用,磁旋转核心崩溃模拟的一个现实的祖,比较结果与我们以前的发现在被动磁场近似。

英文摘要:

We present a new numerical code which solves the general relativistic magneto-hydrodynamics (GRMHD) equations coupled to the Einstein equations for the evolution of a dynamical spacetime within the conformally-flat approximation. This code has been developed with the main objective of studying astrophysical scenarios in which both, high magnetic fields and strong gravitational fields appear, such as the magneto-rotational collapse of stellar cores, the collapsar model of GRBs, and the evolution of neutron stars. The code is based on an existing and thoroughly tested purely hydrodynamics code and on its extension to accommodate weakly magnetized fluids (passive magnetic field approximation). The numerical code we present here is based on high-resolution shock-capturing schemes to solve the GRMHD equations together with the flux constraint transport method to ensure the solenoidal condition of the magnetic field. Since the astrophysical applications envisaged do not deviate much from spherical symmetry, the conformal flatness condition approximation is used for the formulation of the Einstein equations. In addition, the code can handle several equations of state, from simple analytical expressions to microphysical tabulated ones. In this paper we present stringent tests of our new GRMHD numerical code, which show its ability to handle all aspects appearing in the astrophysical scenarios for which the code is intended, namely relativistic shocks, highly magnetized fluids, and equilibrium configurations of magnetized neutron stars. As an application, magneto-rotational core collapse simulations of a realistic progenitor are presented, comparing the results with our previous finding in the passive magnetic field approximation.

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