Towards the Einstein-Hilbert action via conformal transformation

Research output: Contribution to journalArticle

397 Citations (Scopus)

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 languageEnglish
Pages (from-to)3159-3162
Number of pages4
JournalPhysical Review D
Volume39
Issue number10
DOIs
Publication statusPublished - 1989
Externally publishedYes

Fingerprint

conformal mapping
scalars
equivalence
polynomials
curvature
gravitation

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

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

In: Physical Review D, Vol. 39, No. 10, 1989, p. 3159-3162.

Research output: Contribution to journalArticle

@article{397617cfb12a469e8afb4ef26c48d042,
title = "Towards the Einstein-Hilbert action via conformal transformation",
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.",
author = "Keiichi Maeda",
year = "1989",
doi = "10.1103/PhysRevD.39.3159",
language = "English",
volume = "39",
pages = "3159--3162",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics Publising LLC",
number = "10",

}

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 -