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. © 2009 World Scientific Publishing Company.

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

CAPOZZIELLO, Salvatore;STABILE, ARTURO;TROISI, ANTONIO
2009

Abstract

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. © 2009 World Scientific Publishing Company.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4687560
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