Abstract
Hamiltonian time evolution in terms of an explicit parameter time is derived for general relativity, even when the constraints are not satisfied, from the Arnowitt-Deser-Misner-Teitelboim-Ashtekar action in which the slicing density is freely specified while the lapse is not. The constraint “algebra” becomes a well-posed evolution system for the constraints; this system is the twice-contracted Bianchi identity when . The Hamiltonian constraint is an initial value constraint which determines and hence , given .
- Received 19 March 1998
DOI:https://doi.org/10.1103/PhysRevLett.81.1154
©1998 American Physical Society