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arXiv · 1501.01796

Chaotic inflation in higher derivative gravity theories

Shynaray Myrzakul·Ratbay Myrzakulov·Lorenzo Sebastiani
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Abstract

In this paper, we investigate chaotic inflation from scalar field subjected to potential in the framework of $f(R^2, P, Q)$-gravity, where we add a correction to Einstein's gravity based on a function of the square of the Ricci scalar $R^2$, the contraction of the Ricci tensor $P$, and the contraction of the Riemann tensor $Q$. The Gauss-Bonnet case is also discussed. We give the general formalism of inflation, deriving the slow-roll parameters, the $e$-folds number, and the spectral indexes. Several explicit examples are furnished, namely we will consider the cases of massive scalar field and scalar field with quartic potential and some power-law function of the curvature invariants under investigation in the gravitational action of the theory. Viable inflation according with observations is analyzed.

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Shynaray Myrzakul, Ratbay Myrzakulov, Lorenzo Sebastiani. 2015-02-25. Chaotic inflation in higher derivative gravity theories. https://doi.org/10.1140/epjc%2Fs10052-015-3332-x

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