The bouncing cosmology with $F(R)$ gravity and its reconstructing

Abstract

In this paper, we study $F(R)$ gravity by Hu-Sawicki model in Friedmann-Lema\^ıtre-Robertson-Walker (FLRW) background. The Friedmann equations are calculated by modified gravity action, and then the obtained Friedmann equations are written in terms of standard Friedmann equations. Next behavior of bouncing cosmology is investigated in the modified gravity model, i.e., this behavior can solve problem of non-singular in standard Big Bang cosmology. We plot the cosmological parameters in terms of cosmic time and then bouncing condition is investigated. In what follows, we reconstruct the modified gravity by redshift parameter, and also graphs of cosmological parameters are plotted in terms of redshift, in which the figures show us an accelerated expansion of Universe. Finally, the stability of the scenario is investigated by a function as sound speed, and the graph of sound speed versus redshift show us that there is the stability in late time.

13 pages, 9 figures

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Cited by in corpus (26)

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• Bouncing cosmology in modified gravity with higher-order Gauss-Bonnet curvature term
• A Cyclic Universe With Varying Cosmological Constant in $f(R,T)$ gravity
• Cyclic cosmology in modified gravity
• Thermodynamics and stability of $f(T,B)$ gravity with viscous fluid by observational constraints
• Bouncing cosmological models in $f(R,L_m)$ gravity
• Physical Parameters for Stable $f(R)$ Models
• Stability and interacting $f(T,\mathcal{T})$ gravity with modified Chaplygin gas
• Bouncing cosmology in extended gravity and its reconstruction as dark energy model
• Role of Extended Gravity Theory in Matter Bounce Dynamics
• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
• Bouncing universe of entropy-corrected Friedmann equations
• Observational constraints and stability in viscous $f(T,\mathcal{T})$ gravity
• The interaction of extended Bose-Einstein condensate dark matter with viscous $f(T,B)$ gravity
• Extended Bose-Einstein condensate dark matter in viscous Gauss-Bonnet gravity
• Observational Hubble parameter data constraints on the interactive model of $f(T)$ gravity with particle creation
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Evolution of Generalized Brans-Dicke parameter within a Superbounce scenario
• A comprehensive analysis of the compact phase space for Hu-Sawicki $f(R)$ dark energy models including spatial curvature
• Viscous interacting and stability on dark matter Bose-Einstein condensation with modified Chaplygin gas
• Cosmological Time Crystals from Gauss-Bonnet Gravity in Four Dimensions
• A Cosmological Holographic Reconstruction of f(Q) Theory
• Bouncing cosmologies from Born-Infeld-type gravity