Cosmological perturbations in $F(R)$ gravity

Abstract

The quasi-static solutions of the matter density perturbation in $F(R)$ gravity models have been investigated in numerous papers. However, the oscillating solutions in $F(R)$ gravity models have not been investigated enough so far. In this paper, the oscillating solutions are also examined by using appropriate approximations. And the behaviors of the matter density perturbation in F(R) gravity models with singular evolutions of the physical parameters are shortly investigated as applications of the approximated calculations.

15 pages, note and reference added and typos corrected

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• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Unification of Constant-roll Inflation and Dark Energy with Logarithmic $R^2$-corrected and Exponential $F(R)$ Gravity
• Beyond-one-loop quantum gravity action yielding both inflation and late-time acceleration
• Cosmological bounces in spatially flat FRW spacetimes in metric f(R) gravity
• Cosmology in Poincare gauge gravity with a pseudoscalar torsion
• Cosmological model with time varying deceleration parameter in $F(R,G)$ gravity
• Density perturbations in $f(R,\varphi )$-gravity with an application to the (varying power)-law model
• Cosmological Perturbations and Quasi-Static Assumption in $f(R)$ Theories
• Cosmological perturbations in the models of dark energy and modified gravity
• New measures to test modified gravity cosmologies
• Oscillating solutions of the matter density contrast in Horndeski's theory
• Early universe cosmological solutions in exponential gravity
• Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models