标题： 初始值问题使用度量和外曲率 显示英文标题

标题： The Initial Value Problem Using Metric and Extrinsic Curvature

摘要： 在全面回顾了基本几何之后，介绍了初值问题。 通过共形变换以及对最近引入的外曲率处理方法，将初值方程转化为椭圆形式。 这种对度量和外曲率的使用显然等价于作者的共形薄层包装公式。 因此，通过使用共形技术将约束重新表述为椭圆系统的工作已经完成。 显示英文摘要

摘要： The initial value problem is introduced after a thorough review of the essential geometry. The initial value equations are put into elliptic form using both conformal transformations and a treatment of the extrinsic curvature introduced recently. This use of the metric and the extrinsic curvature is manifestly equivalent to the author's conformal thin sandwich formulation. Therefore, the reformulation of the constraints as an elliptic system by use of conformal techniques is complete.