Resolution of type IV singularities in quantum cosmology - Kölner UniversitätsPublikationsServer

Bouhmadi-Lopez, Mariam ORCID: 0000-0002-1529-1889, Kiefer, Claus ORCID: 0000-0001-6163-9519 and Kraemer, Manuel (2014). Resolution of type IV singularities in quantum cosmology. Phys. Rev. D, 89 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2368

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DOI: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.

Item Type:

Journal Article

Creators:

Creators	Email	ORCID	ORCID Put Code
Bouhmadi-Lopez, Mariam	UNSPECIFIED	orcid.org/0000-0002-1529-1889	UNSPECIFIED
Kiefer, Claus	UNSPECIFIED	orcid.org/0000-0001-6163-9519	UNSPECIFIED
Kraemer, Manuel	UNSPECIFIED	UNSPECIFIED	UNSPECIFIED