Dynamics of a Cosmological Model in f(R,T) Gravity: II. In Three-Dimensional Space

Liu, Jianwen; Wang, Ruifang; Gao, Fabao

doi:10.3390/universe9010049

Cited by 2 publications

(1 citation statement)

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“…The dynamical system method is an interesting tool to understand the qualitative dynamics of gravity theories in a manner which does not depend on the choice of initial conditions. This tool have been applied in different gravity theories to explore the cosmological feature of the models [24,25,36,[42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58]. For a detailed description about the applications of dynamical system method in cosmology, one may refer to the [59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Lyra cosmologies with the dynamical system perspective

Singh

2024

Phys. Scr.

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In this study, we revisit the homogeneous and isotropic, spatially curved model in the Lyra geometry framework. We apply the dynamical system approach to study the universe evolution in model. The present cosmic dynamical system formulation is independent of the model parameter which yields the universe expansion phases dominated by the stiff fluid, radiation, dark matter and dark energy. These expansion phases in the Lyra model are consistent with the General relativity model. In addition, the displacement vector field of the Lyra geometry model will give rise to the stiff matter dominated phase during early times of the universe evolution. The cosmographic parameters, EoS parameter and statefinder diagnostic have been utilized in the dynamical system to illustrate the cosmic evolution of the universe. The numerical solution technique is used to illustrate graphical behaviors of the cosmological parameters. On the basis of dynamical system and numerical analysis, we exhibit that the model explains accelerating universe expansion with transition from the decelerating phase and it will lead to the $\Lambda$ cold dark matter ($\Lambda$CDM) model in the near future.

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