On the quantum fate of singularities in a dark-energy dominated universe

Details On the quantum fate of singularities in a dark-energy dominated universe On the quantum fate of singularities in a dark-energy dominated universe

2009-05-14

arxiv.org/abs/0905.2421v2

Phys.Rev.D79:124035,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 6 figures, RevTeX 4. References added. Version to appear in PRD

Scientific paper

10.1103/PhysRevD.79.124035

Classical models for dark energy can exhibit a variety of singularities, many of which occur for scale factors much bigger than the Planck length. We address here the issue whether some of these singularities, the big freeze and the big demarrage, can be avoided in quantum cosmology. We use the framework of quantum geometrodynamics. We restrict our attention to a class of models whose matter content can be described by a generalized Chaplygin gas and be represented by a scalar field with an appropriate potential. Employing the DeWitt criterium that the wave function be zero at the classical singularity, we show that a class of solutions to the Wheeler-DeWitt equation fulfilling this condition can be found. These solutions thus avoid the classical singularity. We discuss the reasons for the remaining ambiguity in fixing the solution.

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