1306.1853 (Jun-Qi Guo)
Jun-Qi Guo
In this paper, we study the solar system tests of f(R) gravity. When the field f' is light, the post-Newtonian parameter gamma is equal to 1/2. We reobtain this result by focusing on the equations of motion for f(R) gravity in the Jordan frame. The result of gamma=1/2 is a gross violation of the observational value gamma=1. The chameleon mechanism in the Jordan frame is implemented in order to make f(R) gravity pass the solar system tests. The problem of the solar system tests of f(R) gravity is almost identical to the scenario of the false vacuum decay. Consequently, the condition for the validity of a thin-wall approximation in the false vacuum decay can be used as the new condition for the solar system tests. This new condition provides a pictorial interpretation to the solar system tests of f(R) gravity. Numerical simulations of the solar system tests of f(R) gravity are implemented. The combination of analytic and numerical approaches enables us to ascertain whether an f(R) model can pass the solar system tests or not.
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http://arxiv.org/abs/1306.1853
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