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Berlin 2014 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 7: Quantum Gravity and Quantum Cosmology I

GR 7.1: Talk

Monday, March 17, 2014, 17:30–17:50, SPA SR220

Resolution of type IV singularities in quantum cosmologyMariam Bouhmadi-López1, Claus Kiefer2, and •Manuel Krämer21Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain — 2Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany

We discuss the fate of classical type IV singularities in quantum cosmology. As a framework we use Wheeler-DeWitt quantization applied to a homogeneous and isotropic universe 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 are able to solve the Wheeler-DeWitt equation for these models analytically 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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