服从无力条件的理想MHD（-Einstein）解
Ideal MHD(-Einstein) Solutions Obeying The Force-Free Condition
摘要：
我们发现两个家庭的理想磁流体力学（iMHD）方程的解析解，在一类四维（4D）弯曲时空。等离子体电流为零，因此，等离子体本身的应力-能量张量可以选择为类似宇宙常数的形式。尽管存在等离子体，但无力条件-电磁流与麦克斯韦张量正交-继续保持。此外，这两个家庭之一的一个特殊情况下，导致我们完全自洽的解决方案的Einstein-iMHD方程：我们获得Vaidya-（反）德西特度规来源的等离子体和零电磁应力张量。我们还提供了一个Mathematica代码，研究人员可以使用它来轻松地验证这些iMHD方程在任何弯曲的4D几何形状的解析解。
英文摘要：
We find two families of analytic solutions to the ideal magnetohydrodynamics (iMHD) equations, in a class of 4-dimensional (4D) curved spacetimes. The plasma current is null, and as a result, the stress-energy tensor of the plasma itself can be chosen to take a cosmological-constant-like form. Despite the presence of a plasma, the force-free condition - where the electromagnetic current is orthogonal to the Maxwell tensor - continues to be maintained. Moreover, a special case of one of these two families leads us to a fully self-consistent solution to the Einstein-iMHD equations: we obtain the Vaidya-(anti-)de Sitter metric sourced by the plasma and a null electromagnetic stress tensor. We also provide a Mathematica code that researchers may use to readily verify analytic solutions to these iMHD equations in any curved 4D geometry.
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