https://doi.org/10.1140/epjc/s10052-019-7193-6
Regular Article - Theoretical Physics
Singularity avoidance in Bianchi I quantum cosmology
1
Institute for Theoretical Physics, University of Cologne, Zülpicher Straße 77, 50937, Cologne, Germany
2
Present address: Deutsches Zentrum für Luft- und Raumfahrt, Institut für Physik der Atmosphäre, Oberpfaffenhofen, Germany
* e-mail: kiefer@thp.uni-koeln.de
Received:
3
June
2019
Accepted:
1
August
2019
Published online:
14
August
2019
We extend recent discussions of singularity avoidance in quantum gravity from isotropic to anisotropic cosmological models. The investigation is done in the framework of quantum geometrodynamics (Wheeler–DeWitt equation). We formulate criteria of singularity avoidance for general Bianchi class A models and give explicit and detailed results for Bianchi I models with and without matter. The singularities in these cases are big bang and big rip. We find that the classical singularities can generally be avoided in these models.
© The Author(s), 2019
