Classical and quantum cosmology of K-essentially modified $$R^2$$ and pure $$R^p$$ gravity

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. M...

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Bibliographic Details
Published inGeneral relativity and gravitation Vol. 51; no. 7; pp. 1 - 22
Main Authors Kan, Nahomi, Shiraishi, Kiyoshi, Yashiki, Mai
Format Journal Article
LanguageEnglish
Published New York Springer Nature B.V 01.07.2019
Subjects
Cosmology
Curvature
Gravity
Physics
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Summary: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.
ISSN:0001-7701
1572-9532
DOI:10.1007/s10714-019-2573-7