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arXiv · 2212.04225

On the equivalence between $ f\left(R\right) $ theories and Einstein gravity

Soham Bhattacharyya
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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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Soham Bhattacharyya. 2022-12-08. On the equivalence between $ f\left(R\right) $ theories and Einstein gravity. https://doi.org/10.1088/1361-6382%2Facfcff

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