# Reheating in Constant-roll $F(R)$ Gravity

## TL;DR

This paper investigates how constant-roll inflation in $F(R)$ gravity affects the reheating process, including the reheating temperature and constraints on the constant-roll parameter, offering insights beyond standard slow-roll models.

## Contribution

It introduces the analysis of reheating in constant-roll $F(R)$ gravity, specifically calculating reheating temperatures and constraining the constant-roll parameter.

## Key findings

- Reheating temperature can differ from the standard $F(R)$ gravity case.
- Reheating era constrains the constant-roll parameter.
- The study provides a comparison between constant-roll and slow-roll reheating temperatures.

## Abstract

In this work we address the reheating issue in the context of $F(R)$ gravity, for theories that the inflationary era does not obey the slow-roll condition but the constant-roll condition is assumed. As it is known, the reheating era takes place after the end of the inflationary era, so we investigate the implications of a constant-roll inflation era on the reheating era. We quantify our considerations by calculating the reheating temperature for the constant-roll $R^2$ model and we compare to the standard reheating temperature in the context of $F(R)$ gravity. As we demonstrate, the new reheating temperature may differ from the standard one, and in addition we show how the reheating era may restrict the constant-roll era by constraining the constant-roll parameter.