Revisiting the screening mechanism in $f(R)$ gravity

Abstract

We reexamine the screening mechanism in $f(R)$ gravity using N-body simulations. By explicitly examining the relation between the extra scalar field $\delta f_R$ and the gravitational potential $\varphi$ in the perturbed Universe, we find that the relation between these two fields plays an important role in understanding the screening mechanism. We show that the screening mechanism in $f(R)$ gravity depends mainly on the depth of the potential well, and find a useful condition for identifying unscreened halos in simulations. We also discuss the potential application of our results to real galaxy surveys.

16 pages, 13 figures, revised version, accepted for publication in PRD

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• Beyond the Cosmological Standard Model
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• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Testing $f(R)$ Gravity With Scale Dependent Cosmic Void Velocity Profiles
• A general framework to test gravity using galaxy clusters III: Observable-mass scaling relations in $f(R)$ gravity
• Primordial Black Hole-Neutron Star Merger Rate in Modified Gravity
• Marked statistics across the cosmic web: Environmental dependent clustering in modified gravity simulations