摘要
剖析了数学奇点和物理奇点这两个概念及其它们在本质上的差异:数学上的本性奇点只不过是无穷级极点。而物理奇点如Schwarzchild黑洞中的Schwarzchild坐标的原点r=0的奇异性却出现在黎曼曲率张量里,它才真正反映了事物本质上的奇异性。
A main motivation in mathematical physics is to study the relation between a mathematic concept and physical thought. For the sake of this purpose, this paper deals with not only the relation of mathematical singularities and physical ones, but also their difference in nature. The type of essential singularity belonging to one of three classes of isolated singularities, is only regarded as a type of infinite-order polar points.It is clear that the type does not stands for physical singularities, However, the singularity for the Schwarzchild coordinate origin r=0 appears in the Riemanian curvature tensors. This shows that the origin should be attributed to physical singularity.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2005年第3期254-257,共4页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(10447112)
关键词
数学物理
孤立奇点
坐标奇点
物理奇点
广义相对论
mathematical physics
isolated singularity
coordinate singularity
physical singularity
general relativity
