The geometry of the gravitational field at spacelike infinity
The geometry of the gravitational field at spacelike infinity
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类空间无穷远引力场的几何形状
DOI：
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发表时间：
1978
期刊：
影响因子：
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通讯作者：
P. Sommers
中科院分区：
文献类型：
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作者：
P. Sommers
研究了与震源大空间分离时引力场的渐近结构。用表示类空无限的三维边界流形讨论了时空场的极限。边界被赋予了类时单位双曲面的度规。在满足足够严格的渐近时空几何条件下，总能量动量和角动量在无穷远双曲面的任意截面上表现为积分。有可能确定物理上相关的较弱条件，在这些条件下，能量动量而不是角动量被很好地定义。在更弱的条件下，能量动量也失去了它的意义，即使时空承认了一条明科夫斯基渐近线。
The asymptotic structure of gravitational fields at large spacelike separation from sources is studied. Limits of spacetime fields are discussed in terms of a three‐dimensional boundary manifold representing spacelike infinity. The boundary is endowed with the metric of a timelike unit hyperboloid. With sufficiently stringent conditions on the asymptotic spacetime geometry, the total energy–momentum and angular momentum emerge as integrals over any cross section of the hyperboloid at infinity. It is possible to identify physically relevant weaker conditions under which the energy–momentum, but not the angular momentum, is well defined. Under still weaker conditions, the energy–momentum also loses its meaning even though the spacetime admits a Minkowskian asymptote.