Abstract We elaborate on the inflationary model starting from multidimensional Lagrangian and gravity with second-order curvature terms. The effective scalar field is related to the Ricci scalar of extra dimensions. It is shown that the Kretschmann and the Ricci tensor square terms dominate during inflation. The observable values of the spectral index and the tensor-to-scalar ratio are obtained for specific values of the model parameters.

中文翻译：

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具有更高衍生品和通货膨胀的多维引力

摘要 我们从具有二阶曲率项的多维拉格朗日和引力出发，详细阐述了暴胀模型。有效标量场与额外维度的 Ricci 标量有关。结果表明，Kretschmann 和 Ricci 张量平方项在暴胀过程中占主导地位。对于模型参数的特定值，获得光谱指数和张量与标量比的可观察值。