We study a model including a real scalar field \(\phi \) non-minimally coupled to \(F(\mathcal{R})\) gravity, which is conformally equivalent to an Einstein–Hilbert theory, involving two real scalar fields. We consider three special cases of the potential of the field \(\phi \) in the \(F(\mathcal{R})\)-frame: a vanishing potential, a mass term and a Higgs potential. All these lead to non-trivial two-field potentials in the Einstein-frame which in particular directions resemble the well-known Starobinsky model. We find, that all these cases can yield viable inflationary models in complete agreement with current observational data.A preprint version of the article is available at ArXiv.

中文翻译：

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Starobinsky膨胀模型的简单$$ F（\ mathcal {R}，\ phi）$$ F（R，ϕ）变形

我们研究了一个模型，该模型包括一个非最小耦合于\（F（\ mathcal {R}）\）引力的实标量场\（\ phi \），该保形等效于一个涉及两个实标量场的爱因斯坦–希尔伯特理论。我们认为该领域的潜在的三种特殊情况\（\披\）在\（F（\ mathcal {R}）\） -frame：消失的潜力，一个质量项和希格斯潜力。所有这些导致在爱因斯坦框架中产生非平凡的两场电势，该电势在特定方向上类似于著名的Starobinsky模型。我们发现，所有这些情况都可以产生与当前观测数据完全一致的可行的通胀模型。该文章的预印本可从ArXiv获得。