Singularities in loop quantum cosmology

Details Singularities in loop quantum cosmology Singularities in loop quantum cosmology

2008-08-01

arxiv.org/abs/0808.0190v3

Phys.Rev.Lett.101:251302,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 3 figures. v2: Comments and references added. v3: Minor additions, version to appear in PRL

Scientific paper

10.1103/PhysRevLett.101.251302

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.

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