论文标题
带有Sasakian Maifolds的Einstein-Maxwell-Current系统的解决方案
Solutions to the Einstein-Maxwell-Current System with Sasakian maifolds
论文作者
论文摘要
我们通过使用Sasakian歧管为三维空间构建了Einstein-Maxwell-Current系统的固定解决方案。溶液中的磁场和电流均通过Sasakian歧管的接触形式指定。该解决方案包含一个任意函数，描述了带电粒子的数量密度的不均匀性，并且该函数决定了空间的曲率。
We construct stationary solutions to the Einstein-Maxwell-current system by using the Sasakian manifold for the three-dimensional space. Both the magnetic field and the electric current in the solution are specified by the contact form of the Sasakian manifold. The solutions contain an arbitrary function that describes inhomogeneity of the number density of the charged particles, and the function determines the curvature of the space.
