The paper reparametrizes slow-roll inflation through a scale factor potential and constructs an example potential, but the chosen 60 e-fold branch is inconsistent with its own first-minimum end condition.
On the initial conditions for inflation with plateau potentials: the $R+R^2$ (super)gravity case
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abstract
We discuss the initial conditions problem for inflation driven by the vacuum energy of a plateau potential, and in particular the Starobinsky inflation. We show that the supergravity embedding of the $R+R^2$ theory naturally decreases the size of the acausal homogeneity, required for the low-scale inflation to occur, thanks to the presence of the dynamical pure supergravitational "auxiliary" fields. We examine the evolution of the $R+R^2$ fields within a FLRW Universe. We also find a dependence of the initial conditions problem on the background spatial curvature.
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The Scale Factor Potential Approach to Inflation
The paper reparametrizes slow-roll inflation through a scale factor potential and constructs an example potential, but the chosen 60 e-fold branch is inconsistent with its own first-minimum end condition.