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arXiv · 0709.3422

Constraining Newtonian stellar configurations in f(R) theories of gravity

T. Multamaki·I. Vilja
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Abstract

We consider general metric $f(R)$ theories of gravity by solving the field equations in the presence of a spherical static mass distribution by analytical perturbative means. Expanding the field equations systematically in $\cO(G)$, we solve the resulting set of equations and show that $f(R)$ theories which attempt to solve the dark energy problem very generally lead to $γ_{PPN}=1/2$ in the solar system. This excludes a large class of theories as possible explanations of dark energy. We also present the first order correction to $γ_{PPN}$ and show that it cannot have a significant effect.

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T. Multamaki, I. Vilja. 2007-10-03. Constraining Newtonian stellar configurations in f(R) theories of gravity. https://doi.org/10.1016/j.physletb.2007.12.022

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