Phys. Rev. Lett. 81, 1154–1157 (1998)Hamiltonian Time Evolution for General RelativityReceived 19 March 1998; published in the issue dated 10 August 1998 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 α(x,t) is freely specified while the lapse N = αg1/2 is not. The constraint “algebra” becomes a well-posed evolution system for the constraints; this system is the twice-contracted Bianchi identity when Rij = 0. The Hamiltonian constraint is an initial value constraint which determines g1/2 and hence N, given α. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.1154
DOI:
10.1103/PhysRevLett.81.1154
PACS:
04.20.Fy, 04.20.Cv, 04.25.-g
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