Inflation as a transient attractor in R2 cosmology

Kei Ichi Maeda*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

186 Citations (Scopus)


Using the equivalence between the curvature-squared gravity theory and the Einstein theory with a scalar field, we show that the potential in the latter system has a very flat plateau. It turns out that inflation is quite natural but transient in the R2 cosmology. All anisotropic Bianchi types of space-time except IX approach the de Sitter solution as an attractor, followed by the Friedmann universe after sufficient inflation. We find a similar behavior in higher- (4<D<10) dimensional theories, in which inflation is not exponential-type but power-law-type. The dilaton coupling to the R2 term is also investigated. The coupling destroys the inflationary solution.

Original languageEnglish
Pages (from-to)858-862
Number of pages5
JournalPhysical Review D
Issue number4
Publication statusPublished - 1988
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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