论文标题
爱因斯坦 - 马克斯韦理论中带电旋转圆盘的几何形状
Geometry of charged rotating discs of dust in Einstein-Maxwell theory
论文作者
论文摘要
在爱因斯坦 - 马克斯威尔理论的框架内，讨论了使用牛顿后的扩展到第十阶的尘埃旋转盘的几何特性。调查光盘的适当半径和适当的圆周使我们能够解决与Ehrenfest悖论有关的问题。在牛顿限制中，与特殊相对论旋转光盘有一项协议。带电的灰尘旋转圆盘还具有类似材料的特性。光盘的基本几何特性是其高斯曲率。通过进一步计算分析限制案例的高斯曲率（带电旋转）Maclaurin盘，电镀金的灰尘盘和未充电的灰尘旋转盘，可以检查带电的灰尘旋转盘获得的结果。我们发现，通过增加光盘的特定电荷，会发生从阴性到正弯曲的过渡。
Within the framework of Einstein-Maxwell theory geometric properties of charged rotating discs of dust, using a post-Newtonian expansion up to tenth order, are discussed. Investigating the disc's proper radius and the proper circumference allows us to address questions related to the Ehrenfest paradox. In the Newtonian limit there is an agreement with a rotating disc from special relativity. The charged rotating disc of dust also possesses material-like properties. A fundamental geometric property of the disc is its Gaussian curvature. The result obtained for the charged rotating disc of dust is checked by additionally calculating the Gaussian curvature of the analytic limiting cases (charged rotating) Maclaurin disc, electrically counterpoised dust-disc and uncharged rotating disc of dust. We find that by increasing the disc's specific charge there occurs a transition from negative to positive curvature.
