Line sources in general relativity
Line sources in general relativity
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广义相对论中的线源
DOI：
10.1103/physrevd.15.935
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发表时间：
1977
影响因子：
5
通讯作者：
W. Israel
中科院分区：
文献类型：
--
作者：
W. Israel
本文是关于如何在广义相对论中描述一条细的、有质量的“线”的场的初步研究。对于一类“简单”线源，线性应力-能量-动量张量可以定义为以线为中心的恒定测地半径的管的外曲率，在半径收缩为零的极限下。一些例子被认为是，包括环奇异的克尔度量。克尔环是由尘埃状物质组成的，它们以光速围绕着克尔环旋转。横截面中的质量分布与tc $cos（\frac{\ensuremath{\psi}}{2}）$成比例，其中$\ensuremath{\psi}$是环在垂直于它的平面上的旋转角。“半极点”结构与单值性相容，因为克尔流形的两层特征。
This paper is a preliminary study of how the field of a thin massive "wire" can be characterized in general relativity. For a class of "simple" line sources, a linear stress-energy-momentum tensor can be defined in terms of the extrinsic curvature of a tube of constant geodesic radius centered on the wire, in the limit when the radius shrinks to zero. A number of examples are considered, including the ring singularity of the Kerr metric. The Kerr ring is composed of dustlike material circulating about it with the speed of light. The mass distribution in a cross section is proportional tc $cos(\frac{\ensuremath{\psi}}{2})$, where $\ensuremath{\psi}$ is the angle of rotation about the ring in a plane normal to it. The "half-pole" structure is compatible with single-valuedness because of the two-sheeted character of the Kerr manifold.