HAMILTONIAN TIME EVOLUTION FOR GENERAL-RELATIVITY

Hamiltonian time evolution in terms of an explicit parameter time is d erived for general relativity, even when the constraints are not satis fied, from the Arnowitt-Deser-Misner-Teitelboim-Ashtekar action in whi ch the slicing density alpha(x, t) is freely specified while the lapse N = alpha g(1/2) is not. The constraint ''algebra'' becomes a well-po sed evolution system for the constraints; this system is the twice-con tracted Bianchi identity when R-ij = 0. The Hamiltonian constraint is an initial value constraint which determines g(1/)2,,d hence N, given alpha. [S0031-9007(98)06792-1].