Conserved gravitational charges from Yano tensors
Conserved gravitational charges from Yano tensors
复制标题
Yano 张量的守恒引力电荷
DOI：
10.1088/1126-6708/2004/08/045
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发表时间：
2004
影响因子：
5.4
通讯作者：
J. Traschen
中科院分区：
文献类型：
--
作者：
D. Kastor;J. Traschen
Yano张量的定义性质自然地将Killing向量的定义性质推广到任意秩的反对称张量场。我们展示了如何平坦时空的雅诺张量可以用来构建新的，保守的横向渐近平坦时空的引力荷。这些新电荷与Yano张量的关系类似于普通ADM守恒电荷与Killing矢量的关系。因此，我们称之为Y-ADM费用。一个秩为n的Y-ADM电荷由空间无限远的余维n切片上的积分给出。特别地，在p膜时空中的秩（p+1）Y-ADM荷是由围绕膜的球面SD−（p+2）上的积分给出的，并且可以被认为是膜的一种强度性质。
The defining properties of Yano tensors naturally generalize those of Killing vectors to anti-symmetric tensor fields of arbitrary rank. We show how the Yano tensors of flat spacetime can be used to construct new, conserved gravitational charges for transverse asymptotically flat spacetimes. The relationship of these new charges to Yano tensors parallels that of ordinary ADM conserved charges to Killing vectors. Hence, we call them Y-ADM charges. A rank n Y-ADM charge is given by an integral over a co-dimension n slice of spatial infinity. In particular, a rank (p+1) Y-ADM charge in a p-brane spacetime is given by an integral over only the sphere SD−(p+2) surrounding the brane and may be regarded as an intensive property of the brane.