# Modified Gravity in Higher Dimensions, Flux Compactification, and Cosmological Inflation

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## Abstract

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## 1. Introduction

## 2. Starobinsky Model of Inflation

## 3. Modified Gravity and Inflaton Scalar Potential in $\mathit{D}$ Dimensions

## 4. Spontaneous Compactification of 8 Dimensions to 4 Dimensions with a Warp Factor

## 5. Freund–Rubin Compactification

## 6. Study of the Scalar Potential

## 7. The Inflationary Observables

## 8. Conclusions

## Funding

## Conflicts of Interest

## References

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**Figure 1.**The profile of the scalar potential of Equation (58) with the input values ${F}^{2}={10}^{6}$, ${\tilde{\gamma}}_{8}=6\xb7{10}^{4}$ and ${\tilde{\Lambda}}_{8}\approx 0.0174$. The bottom (red) line shows the inflationary trajectory.

**Figure 2.**The profile of the scalar potential in Equation (90) for the values $\lambda =1$ (green), $\lambda =2$ (red), and $\lambda =2.88$ (blue).

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Ketov, S.V.
Modified Gravity in Higher Dimensions, Flux Compactification, and Cosmological Inflation. *Symmetry* **2019**, *11*, 1528.
https://doi.org/10.3390/sym11121528

**AMA Style**

Ketov SV.
Modified Gravity in Higher Dimensions, Flux Compactification, and Cosmological Inflation. *Symmetry*. 2019; 11(12):1528.
https://doi.org/10.3390/sym11121528

**Chicago/Turabian Style**

Ketov, Sergei V.
2019. "Modified Gravity in Higher Dimensions, Flux Compactification, and Cosmological Inflation" *Symmetry* 11, no. 12: 1528.
https://doi.org/10.3390/sym11121528