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On the equivalence between $ f\left(R\right) $ theories and Einstein gravity
Published 8 Dec 2022 in gr-qc | (2212.04225v3)
Abstract: 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 generalisation of this result to higher-order gravitational field models.
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