A Non-minimally Coupled Potential for Inflation and Dark Energy after Planck 2015: A Comprehensive Study

Abstract

In this work we introduce a new plateau-like inflationary model including a quadratic scalar potential coupled non-minimally to gravity. This potential has a dominant constant energy density at early times which can realize successful inflation. It also includes an infinitesimal non-zero term $V_0$ responsible for explaining dark energy which causing the universe to expand accelerating at the late time. We show that this model predicts small tensor-to-scalar ratio of the order of $r\approx 0.01$ which is fully consistent with Planck constraints. Using the lower and upper bounds on reheating temperature, we provide additional constraints on the non-minimal coupling parameter $\xi$ of the model. We also study the preheating stage predicted by this kind of potentials using numerical calculations.

11 pages, 5 figures

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Cited by in corpus (8)

• Some aspects of reconstruction using a scalar field in f (T ) Gravity
• Minimal plateau inflationary cosmologies and constraints from reheating
• Phase-space analysis of dark energy models in non-minimally coupled theories of gravity
• A new Parametrization for Bulk Viscosity Cosmology as Extension of the $\Lambda$CDM Model
• Inflationary Cosmology in a non-minimal $f(R,T)$ gravity theory using a $RT$ mixing term
• Non-Minimal Inflation with a scalar-curvature mixing term $\frac{1}{2}\xi R{\varphi }^2$
• Two-Field Quintessential Higgs model and the Swampland
• Cosmological dynamics of holographic dark energy with non-minimally coupled scalar field