标题： 宇宙结构形成期间曲率振荡不产生宇宙射线的$F(R)$-引力 显示英文标题

标题： No Cosmic Rays from Curvature Oscillations during Structure Formation with $F(R)$-gravity

摘要： 修正引力的Starobinsky模型被提出以解释暗能量，也可以在天体物理背景下进行考虑。 最近指出，在收缩区域中，曲率围绕广义相对论值的振荡可能导致高能粒子的产生，这些粒子对宇宙射线通量有贡献。 我们重新审视了这些计算，并发现在原始计算中使用的物质密度连续近似并不成立。 我们表明这个问题在用于描述暗能量的$F(R)$-引力模型中是普遍存在的。 我们超越了这一近似，并发现粒子产生的速率可以忽略不计。 显示英文摘要

摘要： The Starobinsky model of modified gravity suggested to explain dark energy may be also considered in the astrophysical context. Recently it has been pointed out that in contracting regions curvature oscillations around the GR value may lead to the production of high energy particles which contribute to the cosmic ray flux. We revisit these calculations in the Einstein frame and show that the continuous approximation for the matter density used in the original calculations is not valid. We show that this problem is generic in $F(R)$-gravity models introduced to describe the dark energy. We go beyond the approximation and find the rate of particle production to be negligible.