A recent study explores single-field inflation within the framework of Palatini gravity, focusing on ξ-attractors with non-minimal coupling. These models are defined by a function f(φ) that dictates both the non-minimal coupling, 1+ξf(φ), and the inflationary potential, V(φ) = V₀ f(φ)². The research highlights that, for an arbitrary f(φ), the number of e-folds is, to leading order, independent of ξ. This key property enables a direct mapping between the observables of non-minimally coupled setups and those with minimal coupling.
The work reveals that, in the strong coupling limit, the tensor-to-scalar ratio (r) is suppressed, a known result in these types of models. However, the scalar spectral index (n_s) is shifted towards larger values. The magnitude of this shift depends solely on the tensor-to-scalar ratio associated with the original potential V(φ). This finding provides a new perspective on how inflationary properties are affected by non-minimal coupling within the Palatini gravity framework.
The ability to map observables between different configurations simplifies the analysis of complex inflationary models and could be crucial for interpreting future cosmological observations. The leading-order independence of the e-fold number from ξ is a powerful simplification that facilitates model comparison and the derivation of testable predictions. This study contributes to refining our understanding of the early inflationary phase of the universe, a fundamental period for the formation of the large-scale cosmic structures we observe today.