Modified gravity with $f(R) = \sqrt{R^2 - R_0^2}$

Details Modified gravity with $f(R) = \sqrt{R^2 - R_0^2}$ Modified gravity with $f(R) = \sqrt{R^2 - R_0^2}$

2006-12-31

arxiv.org/abs/astro-ph/0701013v1

Phys.Rev.D75:044024,2007

Astronomy and Astrophysics

Astrophysics

8 pages, 6 figure, submitted in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.75.044024

Here in this work we propose a modified gravity with the action of $f(R) = \sqrt{R^2 - R_0^2}$ instead of Einstein-Hilbert action to describe the late time acceleration of the universe. We obtain the equation of the modified gravity both in the metric and Palatini formalisms. An asymptotic solution of gravity equations corresponding to a constant Ricci scalar causes a late time acceleration of the universe. We do a conformal transformation in the action of the modified gravity and obtain the equivalent minimally coupled scalar-tensor gravity. The equivalent Brans-Dicke gravity of this model is also studied. To examine this model with the observation, the perihelion Precession of the Mercury is compared with our prediction and we put an upper constraint of $R_0

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