On the measure problem in slow roll inflation and loop quantum cosmology

Details On the measure problem in slow roll inflation and loop quantum cosmology On the measure problem in slow roll inflation and loop quantum cosmology

2010-11-18

arxiv.org/abs/1011.4249v2

Phys.Rev.D83:104006,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 3 figures. Typos corrected, discussion expanded. Version to be published in PRD

Scientific paper

10.1103/PhysRevD.83.104006

We consider the measure problem in standard slow-roll inflationary models from the perspective of loop quantum cosmology (LQC). Following recent results by Ashtekar and Sloan, we study the probability of having enough e-foldings and focus on its dependence on the quantum gravity scale, including the transition of the theory to the limit where general relativity (GR) is recovered. Contrary to the standard expectation, the probability of having enough inflation, that is close to one in LQC, grows and tends to 1 as one approaches the GR limit. We study the origin of the tension between these results with those by Gibbons and Turok, and offer an explanation that brings these apparent contradictory results into a coherent picture. As we show, the conflicting results stem from different choices of initial conditions for the computation of probability. The singularity free scenario of loop quantum cosmology offers a natural choice of initial conditions, and suggests that enough inflation is generic.

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