重力场自由零初值的Poisson括号
The Poisson bracket on free null initial data for gravity
摘要：
广义相对论在一对相交的零超曲面上的自由初始数据是众所周知的，但是缺乏泊松括号和对焦散的关注阻碍了无约束正则理论的发展。在这里，它指出了焦散和发电机交叉可以巧妙地避免和泊松括号上的自由数据。在充分经常的功能的解决方案时空几何这个括号匹配泊松括号定义的功能，通过希尔伯特行动通过佩尔斯'处方。给出了自由数据的辛形式。
英文摘要：
Free initial data for general relativity on a pair of intersecting null hypersurfaces are well known, but the lack of a Poisson bracket and concerns about caustics have stymied the development of a constraint free canonical theory. Here it is pointed out how caustics and generator crossings can be neatly avoided and a Poisson bracket on free data is given. On sufficiently regular functions of the solution spacetime geometry this bracket matches the Poisson bracket defined on such functions by the Hilbert action via Peierls' prescription. The symplectic form is also given in terms of free data.
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