A Reference for the Gravitational Hamiltonian Boundary Term
A Reference for the Gravitational Hamiltonian Boundary Term
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DOI：
10.6122/cjp.20150819
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发表时间：
2013-07
影响因子：
5
通讯作者：
Chiang-Mei Chen;Jian-Liang Liu;J. M. Nester;Gang Sun
中科院分区：
文献类型：
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作者：
Chiang-Mei Chen;Jian-Liang Liu;J. M. Nester;Gang Sun
eld.它包括一个边界项，它不仅决定了哈密尔顿算子的值，而且通过哈密尔顿算子变分中的边界项决定了边界条件。哈密顿量的值来自其边界项;它给出了准局部量：能量动量和角动量/质心动量。这个边界项不仅依赖于动力学变量，而且依赖于它们的参考值;这些参考值决定基态|准局部量为零的状态。这里我们关心的是如何在准局部双边界上选取参考值。为了确定爱因斯坦广义相对论边界项的“最佳匹配”参考度规和连接值，我们在边界二曲面上提出了（i）四维等距匹配，（ii）能量极值化.
eld. It includes a boundary term which not only determines the value of the Hamiltonian, but also, via the boundary term in the variation of the Hamiltonian, the boundary conditions. The value of the Hamiltonian comes from its boundary term; it gives the quasi-local quantities: energy-momentum and angularmomentum/center-of-mass momentum. This boundary term depends not only on the dynamical variables but also on their reference values; these reference values determine the ground state|the state having vanishing quasi-local quantities. Here our concern is with how to select on the quasi-local two-boundary the reference value. To determine the \best matched" reference metric and connection values for our preferred boundary term for Einstein’s general relativity, we propose on the boundary two-surface (i) four dimensional isometric matching, and (ii) extremizing the value of the energy.