标题： 物质的凝聚和准极化规范中的俘获曲面 显示英文标题

标题： Condensation of Matter and Trapped Surfaces in Quasi-Polar Gauge

摘要： 我们继续研究在强弯曲、共形平坦几何中闭陷表面的形成。 考虑的是拟极坐标规范下的初始数据，而不是最大化的初始数据。 这意味着视界与最小曲面重合。 给出了闭陷表面形成的充要条件。 这些结果可以推广到包含引力波的情况。 我们发现，如果柯西切片的几何是光滑的，那么固定体积内的物体质量有上界。 显示英文摘要

摘要： We continue the investigation of formation of trapped surfaces in strongly curved , conformally flat geometries. Initial data in quasi-polar gauges rather then maximal ones are considered. This implies that apparent horizons coincide with minimal surfaces. Necessary and sufficient conditions for the formation of trapped surfaces are given. These results can be generalized to include the case with gravitational radiation. We found that mass of a body inside a fixed volume is bounded from above if geometry of a Cauchy slice is smooth.