A general solution in the Newtonian limit of f(R)- gravity

Details A general solution in the Newtonian limit of f(R)- gravity A general solution in the Newtonian limit of f(R)- gravity

2009-01-05

arxiv.org/abs/0901.0448v1

Mod.Phys.Lett.A24:659-665,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages

Scientific paper

10.1142/S0217732309030382

We show that any analytic $f(R)$-gravity model, in the metric approach, presents a weak field limit where the standard Newtonian potential is corrected by a Yukawa-like term. This general result has never been pointed out but often derived for some particular theories. This means that only $f(R)=R$ allows to recover the standard Newton potential while this is not the case for other relativistic theories of gravity. Some considerations on the physical consequences of such a general solution are addressed.

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