论文标题
轻度边界上的重力约束
Gravitational Constraints on a Lightlike boundary
论文作者
论文摘要
我们分析了在光明边界的情况下，即当诱导的洛伦兹度量对边界的限制是堕落的时，Coframe形式主义中的一般相对性的边界结构。我们描述了相关的减少相空间，该空间在边界场的符号空间上的约束方面描述了相关的相空间。我们明确计算约束的泊松支架，并识别一流和二等阶层。特别是，在3+1维情况下，我们表明，减少的相空间具有两个局部自由度，而不是在非脱位情况下通常四个。
We analyse the boundary structure of General Relativity in the coframe formalism in the case of a lightlike boundary, i.e., when the restriction of the induced Lorentzian metric to the boundary is degenerate. We describe the associated reduced phase space in terms of constraints on the symplectic space of boundary fields. We explicitly compute the Poisson brackets of the constraints and identify the first- and second-class ones. In particular, in the 3+1 dimensional case, we show that the reduced phase space has two local degrees of freedom, instead of the usual four in the non-degenerate case.
