f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration

Details f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration f(R) Gravity: From the Pioneer Anomaly to the Cosmic Acceleration

2007-08-10

arxiv.org/abs/0708.1482v2

Phys.Rev.D77:104028,2008

Astronomy and Astrophysics

Astrophysics

6 pages, 2 figures

Scientific paper

10.1103/PhysRevD.77.104028

We use metric formalism in $f(R)$ modified gravity to study the dynamics of various systems from the solar system to the cosmological scale. we assume an ansatz for the derivative of action as a function of distance and describe the Pioneer anomaly and the flat rotation curve of the spiral galaxies. Having the asymptotic behavior of action, we propose the action of $f(R) = (R + \Lambda)(1 + \ln(R/R_c)/(R/R_0 + 2/\alpha))$ where in galactic and solar system scales it can recover our desired form. The vacuum solution of this action also results in a positive late time acceleration for the universe. We fix the parameters of this model, comparing with the Pioneer anomaly, rotation curve of spiral galaxies and Supernova Type Ia gold sample data.

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