Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity
General Relativity and Quantum Cosmology
2019-07-30 v7
Abstract
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.
Keywords
Cite
@article{arxiv.1811.11967,
title = {Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity},
author = {Nahomi Kan and Kiyoshi Shiraishi and Mai Yashiki},
journal= {arXiv preprint arXiv:1811.11967},
year = {2019}
}
Comments
24 pages, 9 figures. final version