Dynamical system analysis of three-form field dark energy model with baryonic matter

Chakraborty, Sayantan; Mishra, Sangeeta; Chakraborty, Subenoy

doi:10.1140/epjc/s10052-020-8427-3

Cited by 12 publications

(8 citation statements)

References 23 publications

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“…Using the technique of dynamical system analysis, Chakraborty et al. [ 27 ] have analyzed the cosmological inference without solving the coupled cosmic evolution equation. Using the analytical degeneracy relation between cosmological parameters and numerical fits to the cosmological data Alestas et al.…”

Section: Introductionmentioning

confidence: 99%

Modeling of Accelerating Universe with Bulk Viscous Fluid in Bianchi V Space‐Time

Goswami

Yadav²,

Mishra

et al. 2021

Fortschritte der Physik

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In this paper, we have investigated a bulk viscous anisotropic Universe and constrained its model parameters with recent H(z) and Pantheon compilation data. Using cosmic chronometric technique, we estimate the present value of Hubble's constant as H0=69.39±1.54kms−1Mpc−1, 70.016±1.65kms−1Mpc−1 and 69.36±1.42kms−1Mpc−1 by bounding our derived model with recent H(z) data, Pantheon and joint H(z) and Pantheon data respectively. The present age of the Universe is specified as t0=0.9796H0−1∼13.79 Gyrs. The model favours a transitioning Universe with the transition red‐shift as zt=0.73. We have reconstructed the jerk parameter using the observational data sets. From the analysis of the jerk parameter, it is observed that, our derived model shows a marginal departure from the concordance ΛCDM model.

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Section: Introductionmentioning

confidence: 99%

Modeling of Accelerating Universe with Bulk Viscous Fluid in Bianchi V Space‐Time

Goswami

Yadav²,

Mishra

et al. 2021

Fortschritte der Physik

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“…For η = 1 2 , we see that the degree of the lowest order term is even which implies that for all possible choices of s and η except η = 1 2 the vector field near the origin is unstable [39] due to saddle node nature of the origin (see figure 5, 6, 7 and 8).…”

Section: Mathematical Backgroundmentioning

confidence: 90%

Dynamical analysis of interacting non-canonical scalar field model

Mandal¹,

Chakraborty²,

Mishra³

et al. 2021

Preprint

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In this work, considering the background dynamics of flat Friedmann-Lemaitre-Robertson-Walker(FLRW) model of the universe, we investigate a non-canonical scalar field model as dark energy candidate which interacting with the pressureless dust as dark matter in view of dynamical systems analysis. Two interactions from phenomenological point of view are chosen: one is depending on Hubble parameter H, another is local, independent of Hubble parameter. In Interaction model 1, an inverse square form of potential as well as coupling function associated with scalar field is chosen and a two dimensional autonomous system is obtained. From the 2D autonomous system, we obtain scalar field dominated solutions representing late time accelerated evolution of the universe. Late time scaling solutions are also realized by the accelerated evolution of the universe attracted in quintessence era. Center Manifold Theory can provide the sufficient conditions on model parameters such that the de Sitter like solutions can be stable attractor at late time in this model. In the Interaction model 2, potential as well as coupling function are considered to be evolved exponentially on scalar field and as a result of which a four dimensional autonomous system is achieved. From the analysis of 4D system, we obtain non-hyperbolic sets of critical points which are analyzed by the Center Manifold Theory. In this model, de Sitter like solutions represent the transient evolution of the universe.

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“…From Eq. ( 23), we obtain the expression for deceleration parameter q as following q(z) = 1.5H 2 0 ω de (Ω de ) 0 (z + 1) {3(ω de +1)} − 0.333(Ω α ) 0 (z + 1) 2 + (Ω σ ) 0 (z + 1) 6 H(z) 2 + 0.5 (27) Fig. 6 describes the dynamics of deceleration parameter q with respect to red-shift z.…”

Section: B Deceleration Parametermentioning

confidence: 99%

“…Cicoli et al [26] have shown the existence of new accelerating solution in late time cosmology even for steep potentials. Using the technique of dynamical system analysis, Chakraborty et al [27] have analyzed the cosmological inference without solving the coupled cosmic evolution equation. Using the analytical degeneracy relation between cosmological parameters and numerical fits to the cosmological data Alestas et al [28] have identified the quantitative and qualitative features of the dark energy models.…”

Section: Introductionmentioning

confidence: 99%

Modeling of accelerating Universe with bulk viscous fluid in Bianchi V space-time

Goswami,

Yadav,

Mishra

et al. 2021

Preprint

View full text Add to dashboard Cite

In this paper, we have investigated a bulk viscous anisotropic Universe and constrained its model parameters with recent H(z) and Pantheon compilation data. Using cosmic chronometric technique, we estimate the present value of Hubble's constant as H0 = 69.39 ± 1.54 km s −1 M pc −1 , 70.016 ± 1.65 km s −1 M pc −1 and 69.36±1.42 km s −1 M pc −1 by bounding our derived model with recent H(z) data, Pantheon and joint H(z) and Pantheon data respectively. The present age of the Universe is specified as t0 = 0.9796H −1 0 ∼ 13.79 Gyrs. The model favours a transitioning Universe with the transition red-shift as zt = 0.73. We have reconstructed the jerk parameter using the observational data sets. From the analysis of the jerk parameter, it is observed that, our derived model shows a marginal departure from the concordance ΛCDM model.

show abstract

Dynamical system analysis of three-form field dark energy model with baryonic matter

Cited by 12 publications

References 23 publications

Modeling of Accelerating Universe with Bulk Viscous Fluid in Bianchi V Space‐Time

Modeling of Accelerating Universe with Bulk Viscous Fluid in Bianchi V Space‐Time

Dynamical analysis of interacting non-canonical scalar field model

Modeling of accelerating Universe with bulk viscous fluid in Bianchi V space-time

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