论文标题
从重力作用中提取从准局部能量项的动力学自由度
Extracting Dynamical Degrees of Freedom From the Quasi-Local Energy Term in the Gravitational Action
论文作者
论文摘要
结果表明，在适当的条件下，在适当的坐标系中，在适当的时间内切片的哈密顿量和爱因斯坦 - 希尔伯特的作用，包括所有必要的边界项，可以在没有物质的情况下以棕色York准分子本地能量写在壳上。如果存在物质，则非散布术语仅由应力能量组成。有人认为，一般相对论的动态内容存储在准本地能量项中。结果强调了将棕色York准分子能量解释为重力场和应力能量的田间能量。作为一种应用，我们得出了时间能类型的不确定性关系，这可能在理解重力引起的量子状态减少和更传统的偶联变量中有用。后者是针对修改的VAIDYA度量标准计算的，可用于研究黑洞辐射。在作用中，以准本地能量取消第二个衍生物表示的边界项仅留下所选量规上的第一个衍生术语的平方，这是对动作的量化。
It is shown that under proper conditions in an appropriate coordinate system with a suitable time slicing the Hamiltonian and the Einstein-Hilbert action including all necessary boundary terms can be written on shell in terms of the Brown-York quasi-local energy in the absence of matter. If matter is present the non-vanishing bulk term only consists of stress-energy. It is argued that the dynamical content of general relativity is stored in the quasi-local energy term. The results underscore the interpretation of the Brown-York quasi-local energy as the field energy of the gravitational field plus stress-energy. As an application we derive uncertainty relations of the time-energy kind which may be useful in the understanding of gravity induced quantum state reduction and the more conventional kind for conjugate variables. The latter is computed for a modified Vaidya metric which may be used in the investigation of black hole radiance. The boundary terms expressed as quasi-local energy cancel second derivatives in the action leaving only a square of a first derivative term in the chosen gauge which is desirable for a quantization of the action.
