# Reconstruction of constant slow-roll inflation

## TL;DR

This paper derives key inflationary parameters for constant slow-roll inflation, reconstructs the inflationary potential within different gravity frameworks, and compares it with recent models, providing constraints based on Planck 2015 data.

## Contribution

It introduces a method to derive inflationary parameters and reconstructs the potential for constant slow-roll inflation in various gravity theories, including new comparisons with recent models.

## Key findings

- Derived $n_s$ and $r$ for constant slow-roll inflation.
- Reconstructed inflationary potential in GR and scalar-tensor theories.
- Identified the $ ext{eta}$ attractor in the strong coupling limit.

## Abstract

By using the relations between the slow-roll parameters and the power spectrum for the single field slow-roll inflation, we derive the scalar spectral tilt $n_s$ and the tensor to scalar ratio $r$ for the constant slow-roll inflation and obtain the constraint on the slow-roll parameter $\eta$ from the Planck 2015 results. The inflationary potential for the constant slow-roll inflation is then reconstructed in the framework of both general relativity and scalar-tensor theory of gravity, and compared with the recently reconstructed E model potential. In the strong coupling limit, we show that the $\eta$ attractor is reached.