球对称抛物尘埃坍缩：内禀能量为零的${\cal C}^{1}$匹配度规
Spherical symmetric parabolic dust collapse: ${\cal C}^{1}$ matching metric with zero intrinsic energy
摘要：
被认为是边缘约束，非均匀，无压（尘埃）物质，在球对称的崩溃。在这种情况下，出发点不是从一些合适的初始条件积分爱因斯坦方程。相反，从这些方程的相应的一般精确解出发，根据径向坐标的两个任意函数，初步假设内坍缩度规和外Schwarzschild度规满足Lichnerowicz匹配条件（度量及其一阶导数在描述坍缩云的球形2-曲面边界演化的类时超曲面上的连续性），并探讨了这种尝试性假设的后果。根据{ \em内禀}能的有限值和常值，得到了完整的解析模型族，并从中挑选出物理上较好的模型。
英文摘要：
The collapse of marginally bound, inhomogeneous, pressureless (dust) matter, in spherical symmetry, is considered. The starting point is not, in this case, the integration of the Einstein equations from some suitable initial conditions. Instead, starting from the corresponding general exact solution of these equations, depending on two arbitrary functions of the radial coordinate, the fulfillment of the Lichnerowicz matching conditions of the interior collapsing metric and the exterior Schwarzschild one is tentatively assumed (the continuity of the metric and its first derivatives on the time-like hypersurface describing the evolution of the spherical 2-surface boundary of the collapsing cloud), and the consequences of such a tentative assumption are explored. The whole analytical family of resulting models is obtained and some of them are picked out as physical better models on the basis of the finite and constant value of its {\em intrinsic} energy.
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