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arXiv 1503.04659gr-qcastro-ph.COhep-th
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$F(R,\mathcal{G})$引力中的宇宙暴胀

Cosmological inflation in $F(R,\mathcal{G})$ gravity

Mariafelicia De Laurentis, Mariacristina Paolella, Salvatore Capozziello

备注：
9 pages, 5 figures, to be published in Phys. Rev. D
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摘要：

在$F(R,{\cal G})$引力框架下讨论了宇宙暴胀，其中$F$是曲率标量$R$和Gauss-Bonnet拓扑不变量$\cal G$的通有函数.在这种分析中出现的主要特征是这样的事实，即这种理论可以穷尽与曲率不变量相关的所有曲率预算，而不考虑作用中的$R,$、$R_{μν}$、$R^λ_{σμν}$等的导数。分别在宇宙演化的早期和极早期阶段，由与$R$标量子和$\cal G$标量子有关的两个有效质量（长度）驱动的宇宙动力学结果。从这个意义上说，双重通货膨胀的情景自然会出现。

英文摘要：

Cosmological inflation is discussed in the framework of $F(R,{\cal G})$ gravity where $F$ is a generic function of the curvature scalar $R$ and the Gauss-Bonnet topological invariant $\cal G$. The main feature that emerges in this analysis is the fact that this kind of theory can exhaust all the curvature budget related to curvature invariants without considering derivatives of $R,$ $R_{μν}$, $R^λ_{σμν}$ etc. in the action. Cosmological dynamics results driven by two effective masses (lenghts) related to the $R$ scalaron and the $\cal G$ scalaron working respectively at early and very early epochs of cosmic evolution. In this sense, a double inflationary scenario naturally emerges.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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