Time in Quantum Gravity
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/9906010,
title = {Time in Quantum Gravity},
author = {S. Biswas and A. Shaw and B. Modak},
journal= {arXiv preprint arXiv:gr-qc/9906010},
year = {2009}
}
Comments
12 Pages, LaTeX, no figure