Reheating in Models with Non-minimal Coupling in metric and Palatini formalisms

preprint2021arXivOpen access

Abstract

We study reheating of inflationary models with general non-minimal coupling K(ϕ)RK(ϕ)R with K(ϕ)∼V(ϕ)K(ϕ)\sim \sqrt{V(ϕ)} where RR is the Ricci scalar and VV is the inflaton potential. In particular, when we take the monomial potential K(ϕ)∝ϕmK(ϕ) \propto ϕ^m with m∈Z+m \in \mathbb{Z}_+, we provide general analytic expressions for cosmological observables. We consider a wide range of non-minimal coupling ξ∈[0,∞) ξ\in [0, \infty) in metric and Palatini formalisms and derive the predictions for cosmological observables and the reheating temperature taking a general equation of state parameter wreh w_\text{reh} .

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