标题： 线性化约束在连接表示中的哈密顿-雅可比解 显示英文标题

标题： Linearized Constraints in the Connection Representation: Hamilton-Jacobi Solution

摘要： 纽曼和罗韦利使用奇异的哈密顿-雅可比变换，以阿什特卡变量的形式减少了广义相对论的相空间。 他们的规范约束解无法求逆，并且确实没有平直时空极限。 尽管如此，我们展示了一个所有线性化约束的显式哈密顿-雅可比解。 结果并不鼓励迭代解，但它确实指出了纽曼-罗韦利结果奇点的来源。 显示英文摘要

摘要： Newman and Rovelli have used singular Hamilton-Jacobi transformations to reduce the phase space of general relativity in terms of the Ashtekar variables. Their solution of the gauge constraint cannot be inverted and indeed has no Minkowski space limit. Nonetheless, we exhibit an explicit Hamilton-Jacobi solution of all the linearized constraints. The result does not encourage an iterative solution, but it does indicate the origin of the singularity of the Newman-Rovelli result.