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Angular Momentum and Positive Mass Theorem
被引：0
作者：
Xiao Zhang
机构：
[1] Institute of Mathematics,
[2] Chinese Academy of Sciences,undefined
[3] Beijing 100080,undefined
[4] P. R. China.¶E-mail: xzhang@math08.math.ac.cn,undefined
来源：
Communications in Mathematical Physics
|
1999年
/
206卷
关键词：
Entropy;
Manifold;
Black Hole;
Total Energy;
Angular Momentum;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Total angular momentum for asymptotically flat manifolds is defined. Positive mass theorem for initial (spin) data set (M, gij, pij) with nonsymmetric pij is proved. As an application, we establish positive mass theorems involving total linear momentum and total angular momentum. This gives an answer to a problem of S. T. Yau in his Problem Section [Ya2] and a partial answer to his recent conjecture on the relationship among total energy, total linear momentum, total angular momentum and entropy of black hole.
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页码：137 / 155
页数：18
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