On the Newtonian Limit in Gravity Models with Inverse Powers of R

Details On the Newtonian Limit in Gravity Models with Inverse Powers of R On the Newtonian Limit in Gravity Models with Inverse Powers of R

2003-07-10

arxiv.org/abs/gr-qc/0307052v1

Gen.Rel.Grav. 36 (2004) 217-224

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages

Scientific paper

10.1023/B:GERG.0000006968.53367.

I reconsider the problem of the Newtonian limit in nonlinear gravity models in the light of recently proposed models with inverse powers of the Ricci scalar. Expansion around a maximally symmetric local background with positive curvature scalar R_0 gives the correct Newtonian limit on length scales << R_0^{-1/2} if the gravitational Lagrangian f(R) satisfies |f(R_0)f''(R_0)|<< 1. I propose two models with f''(R_0)=0.

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