Linearized Constraints in the Connection Representation: Hamilton-Jacobi Solution
广义相对论与量子宇宙学
2010-11-01 v1
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.
引用
@article{arxiv.gr-qc/9405030,
title = {Linearized Constraints in the Connection Representation: Hamilton-Jacobi Solution},
author = {J. N. Goldberg and D. C. Robinson},
journal= {arXiv preprint arXiv:gr-qc/9405030},
year = {2010}
}
备注
16 pages Plain Tex