Solar System tests disfavor $f(R)$ gravities
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Using the elegant method employed recently by Erickcek, Smith and Kamionkowski, on the premise that the space-time of Solar System is described by a metric with constant-curvature background added by a static perturbation, we show that many $f(R)$ gravities are ruled out by Solar System tests.
7 pages, no figure. some discussions and references added; typos corrected minor revision
7 pages, no figure. some discussions and references added; typos corrected minor revision