Classical and quantum cosmology of K-essentially modified R2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R^2$$\end{document} and pure Rp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R^p$$\end{document} gravity

被引：0
作者：
Nahomi Kan
Kiyoshi Shiraishi
Mai Yashiki
机构：
[1] National Institute of Technology,Graduate School of Sciences and Technology for Innovation
[2] Gifu College,undefined
[3] Yamaguchi University,undefined
来源：
General Relativity and Gravitation | 2019年 / 51卷 / 7期
关键词：
Modified gravity; Inflation; Quantum cosmology; Exact solutions;
D O I：
10.1007/s10714-019-2573-7
中图分类号：
学科分类号：
摘要：
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.
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