Quasilocal mass in general relativity.
Quasilocal mass in general relativity.
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DOI：
10.1103/physrevlett.102.021101
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发表时间：
2008-04
影响因子：
8.6
通讯作者：
Mu-Tao Wang;S. Yau
中科院分区：
文献类型：
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作者：
Mu-Tao Wang;S. Yau
人们曾多次尝试用哈密顿-雅可比分析来定义时空中两个类空曲面的准定域质量。这种方法的主要困难是确定从物理哈密顿量中减去的背景组态的正确选择。对于一般时空中的表面，准局部质量应该是非负的，而对于平坦时空中的表面，准局部质量应该是零。本文提出了规范无关准定域质量的一个新定义，并证明了它具有所要求的性质。
There have been many attempts to define the notion of quasilocal mass for a spacelike two surface in spacetime by the Hamilton-Jacobi analysis. The essential difficulty in this approach is to identify the right choice of the background configuration to be subtracted from the physical Hamiltonian. Quasilocal mass should be non-negative for surfaces in general spacetime and zero for surfaces in flat spacetime. In this Letter, we propose a new definition of gauge-independent quasilocal mass and prove that it has the desired properties.