论文标题

爱因斯坦方程的数值解决方案在剪切粉尘宇宙中:代码比较

Numerical solutions to Einstein's equations in a shearing-dust Universe: a code comparison

论文作者

Adamek, Julian, Barrera-Hinojosa, Cristian, Bruni, Marco, Li, Baojiu, Macpherson, Hayley J., Mertens, James B.

论文摘要

近年来已经开发了许多对宇宙结构形成的一般性模拟的代码。在这里,我们证明了这些代码的样本在牛顿制度之外产生一致的结果。我们模拟了以引力磁性为主的爱因斯坦方程的解决方案 - 牛顿重力中不存在的矢量型重力场并产生框架拖拉,这是纽顿后纽顿后效应。我们通过在每个独立代码中执行射线跟踪来计算坐标对相交的null GeoDesics的效果。使用可观察到的数量,我们评估并比较了每个代码计算相对论效应的能力。

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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