标题： 一个点质量和广义相对论中的连续坍缩到一个点质量 显示英文标题

标题： A point mass and continuous collapse to a point mass in general relativity

摘要： 以点状质量的形式呈现施瓦茨希尔德黑洞的一种原始方法，利用了狄拉克$\delta$函数，包括对连续坍缩为这种点质量的描述。 一种受物理合理要求限制的最大广义描述被开发出来。 使用了一种所谓的场论形式的广义相对论，它等价于广义相对论的标准几何表述。 所有的动力场，包括引力场，都被视为在背景（弯曲或平直）时空中传播。 正是这些特性使我们能够呈现出一个不矛盾的点质量描述图景。 这些结果可能有助于研究黑洞真实奇点的结构，并可用于黑洞模型中的实际计算。 显示英文摘要

摘要： An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac $\delta$-function, including a description of a continuous collapse to such a point mass, is given. A maximally generalized description restricted by physically reasonable requirements is developed. A so-called field-theoretical formulation of general relativity, being equivalent to the standard geometrical presentation of general relativity, is used. All of the dynamical fields, including the gravitational field, are considered as propagating in a background (curved or flat) spacetime. Namely these properties allow us to present a non-contradictive picture of the point mass description. The results can be useful for studying the structure of the black hole true singularities and could be developed for practical calculations in models with black holes.