Classical and quantum cosmology of K-essentially modified $$R^2$$ and pure $$R^p$$ gravity
Classical and quantum cosmology of K-essentially modified $$R^2$$ and pure $$R^p$$ gravity
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K-本质上修改的$$R^2$$和纯$$R^p$$引力的经典和量子宇宙学
DOI：
10.1007/s10714-019-2573-7
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发表时间：
2019
影响因子：
2.8
通讯作者：
Yashiki Mai
中科院分区：
文献类型：
--
作者：
Kan Nahomi;Shiraishi Kiyoshi;Yashiki Mai
我们提出了一个具有修正高阶项的引力作用量，它是标量场的标量曲率和拉格朗日密度的组合。这类模型首先由Cruz-Dombriz等人提出，研究了由修正作用量所支配的经典和量子宇宙学。模型描述的正定行动和一个纯粹的任意幂标量曲率行动没有标准的爱因斯坦-希尔伯特项也进行了研究。我们展示了一些特殊的情况下，可以得到精确的解决方案。
We present a gravitational action with a modified higher order term of a combination of scalar curvature and Lagrangian density of a scalar field. This type of models has been considered first by Cruz-Dombriz et al. The classical and quantum cosmologies governed by the modified action are studied. Models described by a positive-definite action and a pure arbitrary-powered scalar curvature action without the standard Einstein–Hilbert term are also investigated. We show some particular cases in which exact solutions can be obtained.