Classical mechanics with lapse

Details Classical mechanics with lapse Classical mechanics with lapse

1995-10-31

arxiv.org/abs/gr-qc/9510062v1

J.Math.Phys. 37 (1996) 1244-1252

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, latex, no figures, J. Math. Phys. in print

Scientific paper

10.1063/1.531459

Mechanics is developed over a differentiable manifold as space of possible
positions. Time is considered to fill a one--dimensional Riemannian manifold,
so having the metric as lapse. Then the system is quantized with covariant
instead of partial derivatives in the Schr\"odinger operator. Consequences for
quantum cosmology are shortly discussed.

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