广义相对论中的类光粒子--轻子和螺旋子
Lightons and Helixons as Lightlike Particles in General Relativity
摘要：
根据Petrov对引力场的代数分类，有质量的Schwarzschild粒子、Kerr粒子和NUT粒子的外引力场具有代数型{ \bfseries D}。为这些粒子输入一个类光极限。结果表明，在这种极限过程下，粒子的引力场转化为类光粒子的引力场.另一方面，这种限制可以被描述为一个尖点突变的外尔矩阵的水平与一个引力场对称性的变化，这样的源。在所考虑的情况下，我们得到了从{ \bfseries D}型到{ \bfseries N}型或{ \bfseries III}型的第二类相引力跃迁。从一个“阶段”过渡到另一个“阶段”。彼得罗夫的代数类型是引力场的不同“相”。证明了广义相对论中的类光源是“无毛”的。
英文摘要：
The exterior gravitational fields of the massive Schwarzschild, Kerr and NUT particles have an algebraic type {\bfseries D} according to Petrov's algebraic classification of the gravitational fields. A lightlike limit is input for these particles. It is shown that under this limiting procedure the gravitational fields of the particles are transformed into the gravitational fields of the lightlike particles a lighton and a helixon. On the other hand this limit can be described as a cusp catastrophe on a level of Weyl's matrix with a change of a gravitational field symmetry of such sources. In considered cases we have a phase gravitational transition of second kind from {\bfseries D} type into {\bfseries N} type or {\bfseries III} type. There is a transition of one "phase" to another. Petrov's algebraic types are the different "phases" of the gravitational field. It is shown that the lightlike sources in General Relativity "have no hairs".
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