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关于奇点类型的讨论
引用本文:郑军,谈振兴.关于奇点类型的讨论[J].南昌大学学报(理科版),2005,29(3):254-257.
作者姓名:郑军  谈振兴
作者单位:南昌大学,理学院,江西,南昌,330047;南昌大学,理学院,江西,南昌,330047
基金项目:国家自然科学基金资助项目(10447112)
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。

关 键 词:数学物理  孤立奇点  坐标奇点  物理奇点  广义相对论
文章编号:1006-0464(2005)03-0254-04
修稿时间:2004年12月9日

A DISCUSSION OF TYPES OF SINGULARITIES
ZHENG Jun,TAN Zhen-xing.A DISCUSSION OF TYPES OF SINGULARITIES[J].Journal of Nanchang University(Natural Science),2005,29(3):254-257.
Authors:ZHENG Jun  TAN Zhen-xing
Abstract: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.
Keywords:mathematical physics  isolated singularity  coordinate singularity  physical singularity  general relativity
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