SOME TOTAL INVARIANTS OF ASYMPTOTICALLY FLAT SPACE-TIMES,

SOME TOTAL INVARIANTS OF ASYMPTOTICALLY FLAT SPACE-TIMES,
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渐近平坦时空的一些总不变量,

DOI:
10.1063/1.1664652
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发表时间:
1968
影响因子:
1.3
通讯作者:
J. Winicour
J. Winicour
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
J. Winicour

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通过在零无穷远处收敛于球面的有限封闭两个空间序列中取渐近对称连杆的不变极限,用坐标和共形不变表达式计算了渐近平坦时空的总能量、动量、超动量和角动量。所得到的表达式由球面上的零无穷坐标和保形不变量的积分组成。在能量和动量的情况下,这些积分可以简化为彭罗斯先前提出的表达式。
The total energy, momentum, supermomentum, and angular momentum of asymptotically flat space‐times are calculated in terms of coordinate and conformally invariant expressions by taking the limit in an invariant way of the asymptotic symmetry linkages through a sequence of finite closed two‐spaces which converge to a sphere at null infinity. The resulting expressions consist of integrals over the sphere at null infinity of cordinate and conformally invariant quantities. In the case of energy and momentum these integrals may be reduced to expressions previously proposed by Penrose.