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

2004; American Physical Society; Volume: 70; Issue: 4 Linguagem: Inglês

10.1103/physrevd.70.043505

1550-7998

Alfredo E. Domínguez, Daniel E. Barraco,

Galaxies: Formation, Evolution, Phenomena

Recently D. Vollick [Phys. Rev. D 68, 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 ${(d}^{2}{f/d}^{2}{R)(R}_{0})\ensuremath{\ne}0,$ where ${R}_{0}$ is the scalar curvature of background, does not have a good Newtonian limit.