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Classical and quantum cosmology of K-essentially modified \(R^2\) and pure \(R^p\) gravity

  • Nahomi Kan
  • Kiyoshi ShiraishiEmail author
  • Mai Yashiki
Research Article

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

Modified gravity Inflation Quantum cosmology Exact solutions 

Notes

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Authors and Affiliations

  1. 1.National Institute of Technology, Gifu CollegeMotosu-shiJapan
  2. 2.Graduate School of Sciences and Technology for InnovationYamaguchi UniversityYamaguchi-shiJapan

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