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

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.

6 pages, version as accepted in Classical and Quantum Gravity

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Cited by in corpus (1)

• Testing gravity with the latent heat of neutron star matter