Fourth order gravity and experimental constraints on Eddington parameters

Details Fourth order gravity and experimental constraints on Eddington parameters Fourth order gravity and experimental constraints on Eddington parameters

2006-03-17

arxiv.org/abs/gr-qc/0603071v2

Mod.Phys.Lett.A21:2291-2301,2006

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 3 figures

Scientific paper

10.1142/S0217732306021633

PPN-limit of higher order theories of gravity represents a still controversial matter of debate and no definitive answer has been provided, up to now, about this issue. By exploiting the analogy between scalar-tensor and fourth-order theories of gravity, one can generalize the PPN-limit formulation. By using the definition of the PPN-parameters $\gamma$ and $\beta$ in term of the $f(R)$ derivatives, we show that a family of third-order polynomial theories, in the Ricci scalar $R$, turns out to be compatible with the PPN-limit and the deviation from General Relativity theoretically predicted agree with experimental data.

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