Newtonian limit of the singular f(R) gravity in the Palatini formalism

Details Newtonian limit of the singular f(R) gravity in the Palatini formalism Newtonian limit of the singular f(R) gravity in the Palatini formalism

2004-08-19

arxiv.org/abs/gr-qc/0408069v1

Phys.Rev. D70 (2004) 043505

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

10.1103/PhysRevD.70.043505

Recently D. Vollick [Phys. Rev. D68, 063510 (2003)] has shown that the inclusion of the 1/R curvature terms in the gravitational action and the use of the Palatini formalism offer an alternative explanation for cosmological acceleration. In this work we show not only that this model of Vollick does not have a good Newtonian limit, but also that any f(R) theory with a pole of order n in R=0 and its second derivative respect to R evaluated at Ro is not zero, where Ro is the scalar curvature of background, does not have a good Newtonian limit.

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