TY - JOUR
T1 - Towards the Einstein-Hilbert action via conformal transformation
AU - Maeda, Kei Ichi
PY - 1989/1/1
Y1 - 1989/1/1
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.
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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, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 10
ER -