Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-01-21
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, REVTeX file, a new paragraph added, to be published in Phys. Lett. B
Scientific paper
We use the duality between the local Cartezian coordinates and the solutions of the Klein-Gordon equation to parametrize locally the spacetime in terms of wave functions and prepotentials. The components of metric, metric connection, curvature as well as the Einstein equation are given in this parametrization. We also discuss the local duality between coordinates and quantum fields and the metric in this later reparametrization.
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