On the equivalence between fR theories and Einstein gravity

In this brief note we present a somewhat trivial result. Namely, we show that perturbative off-shell f ( R )-theory is equivalent to Einstein gravity, as well as to the Brans–Dicke theory and the Einstein scalar field model. We also discuss possible generalization of this result to higher-order grav...

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Bibliographic Details
Published in:Classical and quantum gravity 2023-11, Vol.40 (21), p.215013
Main Author: Bhattacharyya, Soham
Format: Article
Language:English
Subjects:
conformal transformation
field redefinition
modified theories of gravity
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Summary:In this brief note we present a somewhat trivial result. Namely, we show that perturbative off-shell f ( R )-theory is equivalent to Einstein gravity, as well as to the Brans–Dicke theory and the Einstein scalar field model. We also discuss possible generalization of this result to higher-order gravitational field models.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/acfcff