用有效爱因斯坦空间和宇宙加速度模拟的无鬼大质量$f(R)$理论
Ghost-Free Massive $f(R)$ Theories Modelled as Effective Einstein Spaces and Cosmic Acceleration
摘要：
我们研究了如何大规模的幽灵自由重力$f(R)$修改的理论，MGFT，可以被编码到通用的非对角爱因斯坦空间。利用完全由度规场定义的、适用于非完整框架的、具有非线性连接结构的“辅助”连接，我们对MGFT中的场方程进行了解耦和积分.施加额外的非完整约束，我们可以产生列维Civita，LC，配置和模仿MGFT效应通过非对角的有效爱因斯坦和/或爱因斯坦-嘉当引力与非完整诱导扭转的相互作用。我们表明，施加非完整约束，它是可能重现非常具体的模型，大量的$f(R)$重力研究\cite{sarid,odintsr}。研究了非对角Einstein空间的宇宙演化。建立了MGFT宇宙学与$Λ$ CDM模型的非对角小形变的相容性。
英文摘要：
We study how massive ghost-free gravity $f(R)$-modified theories, MGFTs, can be encoded into generic off-diagonal Einstein spaces. Using "auxiliary" connections completely defined by the metric fields and adapted to nonholonomic frames with associated nonlinear connection structure, we decouple and integrate in certain general forms the field equations in MGFT. Imposing additional nonholonomic constraints, we can generate Levi-Civita, LC, configurations and mimic MGFT effects via off-diagonal interactions of effective Einstein and/or Einstein-Cartan gravity with nonholonomically induced torsion. We show that imposing nonholonomic constraints it is possible reproduce very specific models of massive $f(R)$ gravity studied in \cite{sarid,odintsr}. The cosmological evolution of ghost-free off-diagonal Einstein spaces is investigated. Certain compatibility of MGFT cosmology to small off--diagonal deformations of $Λ$CDM models is established.
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