Viability of Arctan Model of f(R) Gravity for Late-time Cosmology

Abstract

$f(R)$ modifications of Einstein's gravity is an interesting possibility to explain the late time acceleration of the Universe. In this work we explore the cosmological viability of one such $f(R)$ modification proposed in (Kruglov:2013). We show that the model violates fifth-force constraints. The model is also plagued with the issue of curvature singularity in a spherically collapsing object, where the effective scalar field reaches to the point of diverging scalar curvature.

7 pages, 4 figures, 1 table

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• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• F(R) gravity's rainbow and its Einstein counterpart
• Falsifying cosmological models based on a non-linear electrodynamics
• Phase space analysis of the bouncing universe with stringy effects
• A New f(R) Model in the Light of Local Gravity Test and Late-time Cosmology