### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

**Towards the Einstein-Hilbert action via conformal transformation.** / Maeda, Keiichi.

Research output: Contribution to journal › Article

*Physical Review D*, vol. 39, no. 10, pp. 3159-3162. https://doi.org/10.1103/PhysRevD.39.3159

}

TY - JOUR

T1 - Towards the Einstein-Hilbert action via conformal transformation

AU - Maeda, Keiichi

PY - 1989

Y1 - 1989

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=4243758900&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243758900&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.39.3159

DO - 10.1103/PhysRevD.39.3159

M3 - Article

AN - SCOPUS:4243758900

VL - 39

SP - 3159

EP - 3162

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 10

ER -