论文标题
从$ f（r）$ f（r）重新恢复爱因斯坦 - 希尔伯特重力
Rescaled Einstein-Hilbert Gravity from $f(R)$ Gravity: Inflation, Dark Energy and the Swampland Criteria
论文作者
论文摘要
在存在规范的标量场的情况下，我们考虑了一类$ f（r）$重力的指数模型，在早期，该理论的有效拉格朗日成为了重新固定的规范标量场的，而Einstein-hilbert术语则与Einstein-Hilbert术语一起变为$ \ simαr$，并带有$α$ a $ dimemensive nightemension nightensimens nightemension nightemension。这种恢复的爱因斯坦 - 希尔伯特标量现场理论在早期改变了通货膨胀的膨胀标量现场模型的通货膨胀现象学，但更重要的是，在这种重新恢复的理论的背景下，滚动标准很容易得到满足，假设标量逐渐滚动。我们考虑两种通货膨胀模型来示例我们的研究，一个纤维通货膨胀模型和属于一般类$α$ attractor模型的通用类别的模型。 The inflationary phenomenology of the models is demonstrated to be viable, and for the same set of values of the free parameters of each model which ensure their inflationary viability, all the known Swampland criteria are satisfied too, and we need to note that we assumed that the first Swampland criterion is marginally satisfied by the scalar field, so $ϕ\sim M_p$ during the inflationary era.最后，我们研究了在整个$ f（r）$重力的情况下，纤维通胀潜力的后期现象学，我们证明了所得模型会产生可行的暗能量时代，该模型类似于$λ$ -Cold-Dark-Dark-Mater模型。因此，在我们提出的修改后的重力模型中，宇宙是通过早期重新固定的爱因斯坦 - 希尔伯特重力来描述的，因此从某种意义上说，修饰的重力效应原始效果最小，标量场主要控制动力学，并以重新固定的RICCI量表重力来控制动力学。但是，$ f（r）$重力在后期占主导地位，在该时期，它与标量场协同控制动力学。
We consider a class of exponential models of $f(R)$ gravity, in the presence of a canonical scalar field, for which at early times the effective Lagrangian of the theory becomes that of a rescaled canonical scalar field with the Einstein-Hilbert term becoming $\sim αR$, with $α$ a dimensionless constant. This rescaled Einstein-Hilbert scalar field theory at early times alters the inflationary phenomenology of well-known scalar field models of inflation, but more importantly, in the context of this rescaled theory, the Swampland criteria are easily satisfied, assuming that the scalar field is slowly rolling. We consider two models of inflation to exemplify our study, a fibre inflation model and a model that belongs to the general class of supergravity $α$-attractor models. The inflationary phenomenology of the models is demonstrated to be viable, and for the same set of values of the free parameters of each model which ensure their inflationary viability, all the known Swampland criteria are satisfied too, and we need to note that we assumed that the first Swampland criterion is marginally satisfied by the scalar field, so $ϕ\sim M_p$ during the inflationary era. Finally, we examine the late-time phenomenology of the fibre inflation potential in the presence of the full $f(R)$ gravity, and we demonstrate that the resulting model produces a viable dark energy era, which resembles the $Λ$-Cold-Dark-Mater model. Thus in the modified gravity model we present, the Universe is described by a rescaled Einstein-Hilbert gravity at early times, hence in some sense the modified gravity effect is minimal primordially, and the scalar field controls mainly the dynamics with a rescaled Ricci scalar gravity. However $f(R)$ gravity dominates at late-times, where it controls the dynamics, synergistically with the scalar field.
