The Trautman-Bondi mass of hyperboloidal initial data sets
The Trautman-Bondi mass of hyperboloidal initial data sets
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DOI：
10.4310/atmp.2004.v8.n1.a2
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发表时间：
2004
影响因子：
1.5
通讯作者：
P. Chruściel;J. Jezierski;S. Leski
中科院分区：
文献类型：
--
作者：
P. Chruściel;J. Jezierski;S. Leski
我们给出了共形紧化初始数据集的质量的定义。渐近条件与引力辐射的存在是相容的，并且允许紧凑化是多均匀的。我们证明了所得到的质量是一个几何不变量，并且在球面共形无穷大的情况下证明了它的正性。当R(G)--或者，等价地，trgK--趋向于一个负常数并在无穷大处按1排序时，这个定义纯粹是用三维或二维物体来表示的。
We give a definition of mass for conformally compactifiable initial data sets. The asymptotic conditions are compatible with existence of gravitational radiation, and the compactifications are allowed to be polyhomogeneous. We show that the resulting mass is a geometric invariant, and we prove positivity thereof in the case of a spherical conformal infinity. When R(g) – or, equivalently, trgK – tends to a negative constant to order one at infinity, the definition is expressed purely in terms of three-dimensional or two-dimensional objects.