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arXiv 2203.05149gr-qc
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引力坍缩时空中爱因斯坦方程的稳定数值模拟

Stable numerical simulation of Einstein equations in gravitational collapse space--time

Takuya Tsuchiya, Ryosuke Urakawa, Gen Yoneda

摘要:

我们使用爱因斯坦方程在引力坍缩模型中进行模拟。在本文中,我们回顾了构造初始值的方程和爱因斯坦方程的演化形式称为BSSN制定。此外,由于我们处理非真空的情况下,我们审查的完美流体的物质场的演化方程。为了使模拟稳定,我们提出了一个修改后的系统,它减少了分析中的数值误差,我们实际上进行了稳定的模拟,减少了数值误差。

英文摘要:

We perform simulations in a gravitational collapsing model using the Einstein equations. In this paper, we review the equations for constructing the initial values and the evolution form of the Einstein equations called the BSSN formulation. In addition, since we treat a nonvacuum case, we review the evolution equations of the matter fields of a perfect fluid. To make the simulations stable, we propose a modified system, which decreases numerical errors in analysis, and we actually perform stable simulations with decreased numerical errors.

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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