Inflationary Universe from Anomaly-FreeFR-Gravity

Abstract

By adding a three-dimensional manifold to an eleven-dimensional manifold in supergravity, we obtain the action of$F\left(R\right)$-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 tensor-scalar ratio$\left(R_{\text{tensor}-\text{scalar}}\right)$is in good agreement with experimental data.