# Hillclimbing inflation in metric and Palatini formulations

## TL;DR

This paper explores a novel inflationary model with a periodic potential in both metric and Palatini gravity formulations, demonstrating compatibility with cosmic microwave background observations.

## Contribution

It introduces a new inflationary setup with a periodic potential and compares metric and Palatini formulations, showing observational viability.

## Key findings

- Inflationary predictions match CMB observations in both formulations.
- The model uses a natural-inflation-like potential.
- Compatibility with observational data is demonstrated.

## Abstract

A new setup of cosmic inflation with a periodic inflaton potential and conformal factor is discussed in the metric and Palatini formulations of gravity. As a concrete example, we focus on a natural-inflation-like inflaton potential, and show that the inflationary predictions fall into the allowed region of cosmic microwave background observations in both formulations.