论文标题
固定的圆柱形各向异性流体和新的纯磁性GR溶液
Stationary cylindrical anisotropic fluid and new purely magnetic GR solutions
论文作者
论文摘要
在这里分析研究了由固定的圆柱各向异性流体来源的内部空间的性能，以分析性地研究非刚性和刚性旋转。据我们所知，关于非辅助旋转，这是专门用于此类研究的第一项工作。我们在这里给出一个完整的方程组，描述了这些时空属性。特别是，我们将注意力集中在非刚毛和刚性旋转引力 - 电磁特征上，因此被导致表现出强烈的提示，而有利于猜想在此框架中纯粹的电魏尔张量。我们还能够表征新的纯磁在物理上一致的空间，并发现与该问题有关的五个爱因斯坦的场方程以及我们为此目的得出的两个纯磁约束。这应该被认为是显着的结果，因为文献中很少有纯磁性精确溶液。
The properties of interior spacetimes sourced by stationary cylindrical anisotropic fluids are here analytically studied for both nonrigid and rigid rotation. As regards nonrigid rotation, this is, to our knowledge, the first work dedicated to such a study. We give here a complete equation set describing these spacetime properties. In particular, we focus our attention on both nonrigid and rigid rotation gravito-electromagnetic features and are thus led to display strong hints in favor of conjecturing purely electric Weyl tensor existence in this framework. We have also been able to characterize new purely magnetic physically consistent spacetimes and have found new rigidly rotating exact solution classes to the five Einstein's field equations pertaining to the issue and the two purely magnetic constraints we have derived for this purpose. This should be considered as a prominent result, since extremely few purely magnetic exact solutions are available in the literature.
