Singularities in loop quantum cosmology
General Relativity and Quantum Cosmology
2009-01-22 v3 Astrophysics
High Energy Physics - Theory
Abstract
We show that simple scalar field models can give rise to curvature singularities in the effective Friedmann dynamics of Loop Quantum Cosmology (LQC). We find singular solutions for spatially flat Friedmann-Robertson-Walker cosmologies with a canonical scalar field and a negative exponential potential, or with a phantom scalar field and a positive potential. While LQC avoids big bang or big rip type singularities, we find sudden singularities where the Hubble rate is bounded, but the Ricci curvature scalar diverges. We conclude that the effective equations of LQC are not in themselves sufficient to avoid the occurrence of singularities.
Cite
@article{arxiv.0808.0190,
title = {Singularities in loop quantum cosmology},
author = {Thomas Cailleteau and Antonio Cardoso and Kevin Vandersloot and David Wands},
journal= {arXiv preprint arXiv:0808.0190},
year = {2009}
}
Comments
5 pages, 3 figures. v2: Comments and references added. v3: Minor additions, version to appear in PRL