AI 中文总结
本研究构建了运行真空模型与Randall-Sundrum II膜世界结合的宇宙学框架，推导了特殊解析解，评估了三种宇宙学场景下的可行性，发现其原则上可支持暴胀但需参数微调或取不自然大值。
AI 中文摘要
本研究将运行真空模型（running vacuum model）整合到Randall-Sundrum II膜世界场景中，构建了一种新颖的宇宙学框架，推导了该模型的一类特殊解析解。研究聚焦于宇宙的完整演化轨迹，尤其关注原初暴胀的实现与宇宙熵的演化，评估了该模型在尘埃主导、辐射主导及一般理想流体主导这三种宇宙学场景下的可行性。结果表明，该混合模型原则上能够支持暴胀，但要产生足够的e折叠数，要么需要对参数进行严格微调，要么需要参数取大到在物理上不自然的数值。
英文摘要
In this work, we construct a novel cosmological framework by integrating the running vacuum model into the Randall-Sundrum II braneworld scenario. We derive a special class of analytical solutions in the model. Our investigation focuses on the complete evolutionary trajectory of the universe, with particular emphasis on the realization of primordial inflation and the evolution of cosmic entropy. We evaluate the model's viability across three scenarios: dust-dominated, radiation-dominated, and general perfect fluid-dominated universes. Our findings show that while the hybrid model is in principle capable of supporting inflation, producing enough e-fold number demands either severe fine-tuning of the parameter or unreasonably large (and thus physically unnatural) value of the parameter.
Comments22 pages, 3 figures
