Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-06-17
Phys.Lett. B622 (2005) 1-5
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, latex
Scientific paper
10.1016/j.physletb.2005.07.008
We consider the Newtonian limit of modified theories of gravity that include inverse powers of the curvature in the action in order to explain the cosmic acceleration. It has been shown that the simplest models of this kind are in conflict with observations at the solar system level. In this letter we point out that when one adds to the action inverse powers of curvature invariants that do not vanish for the Schwarzschild geometry one generically recovers an acceptable Newtonian limit at small distances. Gravity is however modified at large distances. We compute the first correction to the Newtonian potential in a quite general class of models. The characteristic distance entering in these modifications is of the order of 10pc for the Sun and of the order of 10^2 kpc for a galaxy.
Acoleyen Karel Van
Navarro Ignacio
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