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

الأصل · EN

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 R₀ gives the correct Newtonian limit on length scales << R₀⁻¹/² if the gravitational Lagrangian f(R) satisfies |f(R₀)f''(R₀)|<< 1. I propose two models with f''(R₀)=0.