Inflationary universe from anomaly-free $F(R)$-gravity

TL;DR

This paper proposes an anomaly-free $F(R)$-gravity model derived from supergravity by adding a 3D manifold, which predicts an inflationary universe consistent with observational data.

Contribution

It introduces a novel $F(R)$-gravity framework from supergravity that is free of anomalies and connects inflationary dynamics with observable parameters.

Findings

The model's scale factor aligns with inflationary expectations.

Scalar-tensor ratio matches experimental constraints.

The approach ensures anomaly cancellation in modified gravity.

Abstract

By adding a three dimensional manifold to an eleven dimensional manifold in supergravity, we obtain the action of $F(R)$-gravity and find that it is anomaly free. We calculate the scale factor of the inflationary universe in this model, and observe that it is related to the slow-roll parameters. The scalar-tensor ratio R\_(scalar-tensor) is in good agreement with experimental data.