F(R) gravity and inflation

TL;DR

This paper reviews F(R)-gravity models for inflation, reconstructs viable models fitting Planck data, discusses generalizations of Starobinsky inflation, and explores early-time acceleration in quantum gravity frameworks.

Contribution

It introduces new F(R)-models for inflation, applies reconstruction techniques, and analyzes quantum gravity effects related to F(R)-gravity.

Findings

Identified several viable F(R)-models consistent with Planck data.

Discussed generalizations of Starobinsky-like inflation.

Analyzed early-time acceleration in quantum gravitational models.

Abstract

In this short review, we revisit inflation in F(R)-gravity. We find several F(R)-models for viable inflation by applying some reconstruction techniques. A special attention is payed in the reproduction of the last Planck satellite data. The possible generalizations of Starobinsky- like inflation are found and discussed. The early-time acceleration is analyzed in a higher- derivative quantum gravitational model which mainly reduces to F(R)-gravity.