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

Preprint

10 July 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0307052

Abstract

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.

Keywords

MODELS WITH INVERSE
CORRECT NEWTONIAN
NEWTONIAN LIMIT
INVERSE POWERS
GRAVITY MODELS
GRAVITATIONAL
RECONSIDER
R_0

All Related Versions

Version 1, 2003-07-10, ArXiv
Published version: General Relativity and Gravitation, 36 (1), 217.

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