Dilaton Quantum Cosmology with a Schrodinger-like equation
General Relativity and Quantum Cosmology
2015-06-11 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
A quantum cosmological model with radiation and a dilaton scalar field is analysed. The Wheeler-deWitt equation in the mini-superspace induces a Schr\"odinger equation, which can be solved. An explicit wavepacket is constructed for a particular choice of the ordering factor. A consistent solution is possible only when the scalar field is a phantom field. Moreover, although the wavepacket is time dependent, a Bohmian analysis allows to extract a bouncing behaviour for the scale factor.
Cite
@article{arxiv.1208.3509,
title = {Dilaton Quantum Cosmology with a Schrodinger-like equation},
author = {J. C. Fabris and F. T. Falciano and P. Vargas Moniz and J. Marto and N. Pinto-Neto},
journal= {arXiv preprint arXiv:1208.3509},
year = {2015}
}
Comments
14 pages, 3 figures in eps format. Minors corrections, new figures