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.

中文翻译：

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剪切尘埃宇宙中爱因斯坦方程的数值解：代码比较

近年来，已经开发了许多用于宇宙结构形成的广义相对论模拟的代码。在这里，我们证明了这些代码的样本产生了超越牛顿体系的一致结果。我们模拟了由引力磁性主导的爱因斯坦方程的解——一种在牛顿引力中不存在的矢量型引力场，并产生框架拖拽，即领先的后牛顿效应。我们通过在每个独立代码中执行光线追踪来计算相交空测地​​线的坐标不变效应。通过这个可观察的数量，我们评估和比较每个代码计算相对论效应的能力。