Phys. Rev. D 39, 3159–3162 (1989)Towards the Einstein-Hilbert action via conformal transformationReceived 6 June 1988; published in the issue dated 15 May 1989 A conformal transformation is used to prove that a general theory with the action S=FdDx √-g [F(φ,R)-(ε/2)(∇φ)2], where F(φ,R) is an arbitrary function of a scalar φ 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. © 1989 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.39.3159
DOI:
10.1103/PhysRevD.39.3159
PACS:
04.50.+h
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