论文标题

牛顿后磁水动力学

Post-Newtonian Magnetohydrodynamics

论文作者

Hwang, Jai-chan, Noh, Hyerim

论文摘要

使用Minkowski背景中的磁性水力动力学(MHD)的完全非线性和精确的扰动公式,我们得出了一阶后纽顿(1PN)方程,而不会施加切片(时间表)条件。 1PN MHD公式与我们最近提出的完全相对论的MHD互补,仅在最大切片中可用的0PN重力。我们介绍了先前在文献中使用的两个规条件下的1PN MHD方程,并提供了不同仪表之间的量规转换关系。我们在静态均匀介质中得出对MHD波的PN影响。

Using the fully nonlinear and exact perturbation formulation with magnetohydrodynamics (MHD) in Minkowski background we derive first-order post-Newtonian (1PN) equations without imposing the slicing (temporal gauge) condition. The 1PN MHD formulation is complementary to our recently presented fully relativistic MHD combined with 0PN gravity available only in the maximal slicing. We present the 1PN MHD equations in two gauge conditions previously used in the literature and provide gauge transformation relations between different gauges. We derive the PN effects on MHD waves in a static homogeneous medium.

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