Reheating after f(R) inflation

TL;DR

This paper investigates the reheating process after $f(R)$ inflation, deriving analytical solutions in the Einstein frame and validating them with numerical calculations that include particle creation backreaction, to constrain the model observationally.

Contribution

It provides analytical solutions for reheating dynamics in $f(R)$ inflation models and compares them with numerical results including backreaction effects.

Findings

Analytical solutions match numerical results well.

Reheating dynamics are consistent with observational constraints.

Backreaction from particle creation influences the reheating process.

Abstract

The reheating dynamics after the inflation induced by $R^2$-corrected $f(R)$ model is considered. To avoid the complexity of solving the fourth order equations, we analyze the inflationary and reheating dynamics in the Einstein frame and its analytical solutions are derived. We also perform numerical calculation including the backreaction from the particle creation and compare the results with the analytical solutions. Based on the results, observational constraints on the model are discussed.