Time in Quantum Gravity

Details Time in Quantum Gravity Time in Quantum Gravity

1999-06-03

arxiv.org/abs/gr-qc/9906010v1

Int.J.Mod.Phys. D10 (2001) 595-606

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 Pages, LaTeX, no figure

Scientific paper

10.1142/S0218271801001384

The Wheeler-DeWitt equation in quantum gravity is timeless in character. In order to discuss quantum to classical transition of the universe, one uses a time prescription in quantum gravity to obtain a time contained description starting from Wheeler-DeWitt equation and WKB ansatz for the WD wavefunction. The approach has some drawbacks. In this work, we obtain the time-contained Schroedinger-Wheeler-DeWitt equation without using the WD equation and the WKB ansatz for the wavefunction. We further show that a Gaussian ansatz for SWD wavefunction is consistent with the Hartle-Hawking or wormhole dominance proposal boundary condition. We thus find an answer to the small scale boundary conditions.

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