A cosmologically motivated reference formulation of numerical relativity
A cosmologically motivated reference formulation of numerical relativity
复制标题
数值相对论的宇宙学参考公式
DOI：
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发表时间：
2017
期刊：
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通讯作者：
G. Starkman
中科院分区：
文献类型：
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作者：
J. Giblin;J. Mertens;G. Starkman
数值相对论在宇宙时空中的应用为爱因斯坦方程的行为提供了超越常见近似值的新见解。为了尽可能准确、高效地进行模拟，我们研究了爱因斯坦方程的一种新颖表述。该公式从描述时空主要行为的“参考”解决方案中演化出差异，从而减轻了截断和近似有限差分计算造成的误差。我们发现，使用参考公式获得的解的误差可以小一个数量级或更多，改进程度取决于参考解与精确解的近似程度。
The application of numerical relativity to cosmological spacetimes is providing new insights into the behavior of Einstein’s equations, beyond common approximations. In order for simulations to be performed as accurately and efficiently as possible, we investigate a novel formulation of Einstein’s equations. This formulation evolves differences from a ‘reference’ solution describing the dominant behavior of the spacetime, which mitigates error due to both truncation and approximate finite difference calculations. We find that the error in solutions obtained using the reference formulation can be smaller by an order of magnitude or more, with the level of improvement depending on how well the reference solution approximates the exact solution.