Towards the Einstein-Hilbert action via conformal transformation

Kei Ichi Maeda*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

447 Citations (Scopus)


A conformal transformation is used to prove that a general theory with the action S=FdDx -g [F(,R)-(/2)()2], where F(,R) is an arbitrary function of a scalar and a scalar curvature R, is equivalent to a system described by the Einstein-Hilbert action plus scalar fields. This equivalence is a simple extension of those in R2-gravity theory and the theory with nonminimal coupling. The case of F=L(R), where L(R) is an arbitrary polynomial of R, is discussed as an example.

Original languageEnglish
Pages (from-to)3159-3162
Number of pages4
JournalPhysical Review D
Issue number10
Publication statusPublished - 1989 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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