剪切尘埃宇宙中爱因斯坦方程的数值解：代码比较
Numerical solutions to Einstein's equations in a shearing-dust Universe: a code comparison
摘要：
近年来，人们开发了一系列用于宇宙结构形成的广义相对论模拟程序。在这里，我们表明，这些代码的一个样本产生一致的结果超出牛顿政权。我们模拟了引力磁场主导的爱因斯坦方程的解--引力磁场是一种矢量型的引力场，在牛顿引力中不存在，它会产生框架拖曳，即领先阶的后牛顿效应。我们通过在每个独立的代码中执行射线追踪来计算坐标不变对相交零测地线的影响。有了这个可观测的量，我们评估和比较每个代码的能力，计算相对论效应。
英文摘要：
A number of codes for general-relativistic simulations of cosmological structure formation have been developed in recent years. Here we demonstrate that a sample of these codes produce consistent results beyond the Newtonian regime. We simulate solutions to Einstein's equations dominated by gravitomagnetism -- a vector-type gravitational field that doesn't exist in Newtonian gravity and produces frame-dragging, the leading-order post-Newtonian effect. We calculate the coordinate-invariant effect on intersecting null geodesics by performing ray tracing in each independent code. With this observable quantity, we assess and compare each code's ability to compute relativistic effects.
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