### Abstract

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 language | English |
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Pages (from-to) | 3159-3162 |

Number of pages | 4 |

Journal | Physical Review D |

Volume | 39 |

Issue number | 10 |

DOIs | |

Publication status | Published - 1989 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)