Abstract
Abstract
We study models where a scalar field has derivative and non-derivative couplings to the
Ricci tensor and the co-Ricci tensor with a view to inflation. We consider both the metric
formulation and the Palatini formulation. In the Palatini case, the couplings to the Ricci tensor
and the Ricci scalar give the same result regardless of whether the connection is unconstrained or
the non-metricity or the torsion is assumed to vanish. When the co-Ricci tensor is included, the
unconstrained case and the zero torsion case are physically different. We reduce all the actions
to the Einstein frame with minimally coupled matter, and find the leading order differences
between the metric case and the Palatini cases.
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2 articles.
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