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Resolution of type IV singularities in quantum cosmology

Mariam Bouhmadi-López1,2,*, Claus Kiefer3,†, and Manuel Krämer3,‡

  • 1Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain
  • 2IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
  • 3Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany

  • *mariam.bouhmadi@ehu.es
  • †kiefer@thp.uni-koeln.de
  • ‡mk@thp.uni-koeln.de
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Phys. Rev. D 89, 064016 – Published 6 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.064016

Abstract

We discuss the fate of classical type IV singularities in quantum cosmology. The framework is Wheeler-DeWitt quantization applied to homogeneous and isotropic universes with a perfect fluid described by a generalized Chaplygin gas. Such a fluid can be dynamically realized by a scalar field. We treat the cases of a standard scalar field with positive kinetic energy and of a scalar field with negative energy (phantom field). We first present the classical solutions. We then discuss in detail the Wheeler-DeWitt equation for these models. We are able to give analytic solutions for a special case and to draw conclusions for the general case. Adopting the criterion that singularities are avoided if the wave function vanishes in the region of the classical singularity, we find that type IV singularities are avoided only for particular solutions of the Wheeler-DeWitt equation. We compare this result with earlier results found for other types of singularities.

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Phys. Rev. D 89, 064016– Published 6 March, 2014
  • Received 4 January 2014

© 2014 American Physical Society

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