论文标题
球形ECD时段的CMC表面和区域充电不等式
CMC surfaces and area-charge inequality for a spheroidal ECD spacetime
论文作者
论文摘要
我们考虑Bonnor \ cite {Bonnor98}提出的时空，其物质含量是电气相互量的灰尘的球体，在面积和电荷之间的几何不等式的背景下。我们从数值上确定恒定的平均曲率表面，这些曲率表面是候选的稳定等级表面并分析面积和电荷之间的关系，这表明先前证明的不平等远非饱和。我们还表明，最大的初始数据具有圆柱限制，在达到区域充电关系的最小值。
We consider the spacetime presented by Bonnor \cite{Bonnor98}, whose matter content is a spheroid of electrically counterpoised dust, in the context of the geometrical inequalities between area and charge. We determine numerically the constant mean curvature surfaces that are candidates to be stable isoperimetric surfaces and analyze the relation between area and charge for them, showing that a previously proved inequality is far from being saturated. We also show that the maximal initial data has a cylindrical limit where the minimum of the area-charge relation is attained.
