The stability of two different bounce scenarios from [Formula: see text] modified gravity at later times is studied, namely a hyperbolic cosine bounce model and a matter-dominated one. After describing the main characteristics of [Formula: see text] modified gravity, the two different bounce scenarios stemming from this theory are reconstructed and their stability at late stages is discussed. The stability of the hyperbolic cosine model is proven, while the concrete matter-bounce model here chosen does not seem to accomplish the necessary conditions to be stable at later times.

中文翻译：

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F(R,𝒢)修正重力在演化后期的双曲线和物质主导的反弹宇宙学的稳定性

研究[公式：见正文]后期修改重力两种不同反弹场景的稳定性，即双曲余弦反弹模型和物质主导模型。在描述了[公式：见正文]修正重力的主要特征后，重构了源自该理论的两种不同的反弹场景，并讨论了它们在后期的稳定性。双曲余弦模型的稳定性得到了证明，而这里选择的具体物质-反弹模型似乎并没有满足后期稳定的必要条件。