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arXiv · 1712.08471

The Palatini side of inflationary attractors

Laur Järv·Antonio Racioppi·Tommi Tenkanen
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Abstract

We perform an analysis of models of chaotic inflation where the inflaton field $\phi$ is coupled non-minimally to gravity via $\xi \phi^n g^{\mu\nu}R_{\mu\nu}(\Gamma), n>0$. We focus on the Palatini theory of gravity, i.e. the case where the assumptions of the General Relativity are relaxed (that of the connection being the Levi-Civita one) and the gravitational degrees of freedom are encoded not only in the metric but also the connection $\Gamma$, which is treated as an independent variable. We show that in this case the famous attractor behaviour of simple non-minimally coupled models of inflation is lost. Therefore the attractors are not universal but their existence depends on the underlying theory of gravity in a subtle way. We discuss what this means for chaotic models and their observational consequences.

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Laur Järv, Antonio Racioppi, Tommi Tenkanen. 2017-12-21. The Palatini side of inflationary attractors. https://doi.org/10.1103/physrevd.97.083513

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