We investigate the inflationary expansion of the universe induced by higher curvature corrections in M-theory. The inflationary evolution of the geometry is discussed in ref.[1], thus we succeed to analyse metric perturbations around the background. Especially we focus on scalar perturbations and analyse linearized equations of motion for the scalar perturbations. By solving these equations explicitly, we evaluate the power spectrum of the curvature perturbation. Scalar spectrum index is estimated under some assumption, and we show that it becomes close to 1.

中文翻译：

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M 理论中的标量宇宙学扰动具有更高的导数校正

我们研究了 M 理论中由更高曲率校正引起的宇宙膨胀膨胀。参考文献[1]中讨论了几何的膨胀演化，因此我们成功地分析了背景周围的度量扰动。特别是我们关注标量扰动并分析标量扰动的线性化运动方程。通过明确地求解这些方程，我们评估了曲率扰动的功率谱。标量谱指数是在一些假设下估计的，我们表明它接近于 1。