Bouncing and Cyclic Quantum Primordial Universes and the Ordering Problem
General Relativity and Quantum Cosmology
2020-05-07 v3
Abstract
In a Bohmian quantum cosmology scenario, we investigate some quantum effects on the evolution of the primordial universe arising from the adoption of an alternative non-trivial ordering to the quantization of the constrained Hamiltonian of a minimally coupled scalar field. The Wheeler-DeWitt equation has a contribution from the change in factor ordering, hence there are new quantum effects. We compare the results between the non-trivial and the trivial ordering cases, showing that the classical limit is valid for both orderings, but new bouncing and cyclic solutions are present in the non-trivial case. Additionally, we show that the non-singular solutions already present in the trivial ordering formalism keep valid.
Cite
@article{arxiv.1911.01487,
title = {Bouncing and Cyclic Quantum Primordial Universes and the Ordering Problem},
author = {Isaac Torres and Júlio César Fabris and Oliver Fabio Piattella},
journal= {arXiv preprint arXiv:1911.01487},
year = {2020}
}