Loop cosmological implications of a non-minimally coupled scalar field

Details Loop cosmological implications of a non-minimally coupled scalar field Loop cosmological implications of a non-minimally coupled scalar field

2006-06-19

arxiv.org/abs/gr-qc/0606082v1

Phys.Rev. D74 (2006) 044033

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 4 figures

Scientific paper

10.1103/PhysRevD.74.044033

Non-minimal actions with matter represented by a scalar field coupled to gravity are considered in the context of a homogeneous and isotropic universe. The coupling is of the form $-\xi/2 \phi^2 R$. The possibility of successful inflation is investigated taking into account features of loop cosmology. For that end a conformal transformation is performed. That brings the theory into the standard minimally coupled form (Einstein frame) with some effective field and its potential. Both analytical and numerical estimates show that a negative coupling constant is preferable for successful inflation. Moreover, provided fixed initial conditions, larger $|\xi|$ leads to a greater number of {\em e}-folds. The latter is obtained for a reasonable range of initial conditions and the coupling parameter and indicates a possibility for successful inflation.

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