Palatini与度量仿射f(R)引力中宇宙学膜世界的全局一致性

中文摘要 AI 辅助

我们研究了Palatini和度量仿射引力中五维翘曲膜世界的全局一致性条件。从广义Gibbons-Kallosh-Linde框架出发，我们推导了宇宙学翘曲几何的积分求和规则，并考察了独立联络自由度如何修改标准爱因斯坦引力中光滑紧致膜世界的障碍。分析将几何、物质和非黎曼贡献分开，阐明了通常的no-go结果可以被修改的条件。我们表明，广义一致性关系为允许的构型提供了必要的全局约束，并识别了可能导致偏离黎曼情形的项。这些结果为在具有独立仿射结构的引力理论中检验光滑五维膜世界的全局一致性建立了一个系统框架。

英文摘要

We investigate global consistency conditions for five-dimensional warped braneworlds in Palatini and metric-affine gravity. Starting from the generalized Gibbons-Kallosh-Linde framework, we derive integrated sum rules for cosmological warped geometries and examine how independent connection degrees of freedom modify the standard Einstein-gravity obstruction to smooth compact braneworlds. The analysis separates geometric, matter, and non-Riemannian contributions and clarifies the conditions under which the usual no-go result can be modified. We show that the generalized consistency relations provide necessary global constraints on admissible configurations and identify the terms responsible for possible departures from the Riemannian case. The results establish a systematic framework for testing the global consistency of smooth five-dimensional braneworlds in gravitational theories with independent affine structure.

发表机构

• São Paulo State Center for Technological Education (CEETEPS)（圣保罗州技术教育中心（CEETEPS））
• Faculty of Technology of Botucatu (FATEC)（博图卡图技术学院（FATEC））

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