Inflationary universe from anomaly-free \(F(R)\)-gravity (Q2134890)

Summary: 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 tensor-scalar ratio \((R_{\mathrm{tensor} - \mathrm{scalar}})\) is in good agreement with experimental data.