We construct the \(F(R)\) gravity models with exact particular solutions using the conformal transformation and the superpotential method for the corresponding models in the Einstein frame. The functions \(F(R)\) are obtained explicitly. We consider exact solutions for the obtained \({{R}^{2}}\) gravity model with the cosmological constant in detail.

中文翻译：

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\（F（R）\）宇宙学模型的超势方法

我们使用保形变换和超电势方法针对爱因斯坦框架中的相应模型构造具有精确特定解的\（F（R）\）重力模型。函数\（F（R）\）是显式获得的。我们详细考虑了获得的具有宇宙常数的\（{{R} ^ {2}} \）引力模型的精确解。