标题： 具有全局磁场的各向异性爱因斯坦宇宙与SqK旋量 显示英文标题

标题： Anisotropic Einstein universes with a global magetic field and SqK-spinors

摘要： 我们研究了一个具有两个带电无质量旋子且与电磁场耦合的爱因斯坦-狄拉克-麦克斯韦系统，并构造了该系统的族精确解。 解的时空是静态爱因斯坦宇宙的各向异性推广，该宇宙具有由旋子电流产生的整体宇宙磁场。 该时空被视为描述宇宙中整体宇宙磁场现象的玩具模型。 旋子由 Sasakian 准 Killing 旋子诱导，总狄拉克电流沿 Hopf 纤维流动。 磁场是一个接触磁场所。 显示英文摘要

摘要： We consider an Einstein-Dirac-Maxwell system with two charged massless spinors coupled with an electromagnetic field, and construct a family of exact solutions to the system. The solution spacetime is an anisotropic generalization of the static Einstein universe which has a global cosmic magnetic field generated by the current of the spinors. The spacetime is regarded as a toy model which describes global cosmic magnetic phenomena in the universe. The spinors are induced from Sasakian quasi-Killing spinors, and the total Dirac current flows along fibers of the Hopf-fibration. The magnetic field is a contact magnetic field.