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arXiv · 1711.08991

Constraining f(R) gravity in solar system, cosmology and binary pulsar systems

Tan Liu·Xing Zhang·Wen Zhao
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Abstract

The $f(R)$ gravity can be cast into the form of a scalar-tensor theory, and scalar degree of freedom can be suppressed in high-density regions by the chameleon mechanism. In this article, for the general $f(R)$ gravity, using a scalar-tensor representation with the chameleon mechanism, we calculate the parameterized post-Newtonian parameters $\gamma$ and $\beta$, the effective gravitational constant $G_{\rm eff}$, and the effective cosmological constant $\Lambda_{\rm eff}$. In addition, for the general $f(R)$ gravity, we also calculate the rate of orbital period decay of the binary system due to gravitational radiation. Then we apply these results to specific $f(R)$ models (Hu-Sawicki model, Tsujikawa model and Starobinsky model) and derive the constraints on the model parameters by combining the observations in solar system, cosmological scales and the binary systems.

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Tan Liu, Xing Zhang, Wen Zhao. 2017-11-24. Constraining f(R) gravity in solar system, cosmology and binary pulsar systems. https://doi.org/10.1016/j.physletb.2017.12.051

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