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Observational constrained $F(R, \mathcal{G})$ gravity cosmological model and the dynamical system analysis

Authors :
Lohakare, Santosh V.
Rathore, Krishna
Mishra, B.
Source :
Class. and Quantum Grav. 40 (2023) 215009
Publication Year :
2023

Abstract

In this paper, we have analyzed the geometrical and dynamical parameters of $\mathcal{F}(R, \mathcal{G})=\alpha R^2 \mathcal{G}^\beta$ cosmological model, ($R$, $\mathcal{G}$ being the Ricci scalar and Gauss-Bonnet invariant respectively), constraining the parameters through the cosmological data sets. It is exhibited that the model admits a viable radiation era, and early deceleration followed by late-time acceleration in the matter-dominated era. From the phase-space, portrait stability criterion has been analysed, restricting the parameter $\beta$, different from $\beta=-1$. Additionally, we have explored the stability of the model from the behavior of critical points and obtained the present value of the density parameter for matter-dominated and dark energy components, which are identical to those obtained through cosmological data sets.<br />Comment: 22 pages, 6 figures

Details

Database :
arXiv
Journal :
Class. and Quantum Grav. 40 (2023) 215009
Publication Type :
Report
Accession number :
edsarx.2303.14575
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/1361-6382/acfc0f