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- 2022| World Scientific Pub...In this paper, we have investigated the physical behavior of cosmological models in the framework of modified teleparallel gravity. This model is established using a Rényi holographic dark energy (RHDE) model with a Hubble cut-off. Here, we have considered a homogeneous and isotropic Friedman universe filled with perfect fluid. The physical parameters are derived for the present model in compliances with 43 observational Hubble data sets. The equation-of-state parameter in terms of H(z) describes the transition of the universe between phantom and nonphantom phases in the context of f(T) gravity. Our model shows the violation of strong energy condition and the weak energy condition over the accelerated phantom regime. We also observed that these models occupy freezing regions through ωD-ωD′ plane. Consequently, our RHDE model is supported to the consequences of general relativity in the framework of f(T) modified gravity.
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- In the present work, we investigate the power-law entropy corrected holographic dark energy (PLECHDE) model with Hubble horizon cutoff. We use 46 observational Hubble data points in the redshift range 0 ≤ 𝑧 ≤ 2.36 to determine the present Hubble constant 𝐻0 and the model parameter 𝑛. It represents a phase transition of the universe from deceleration to acceleration and has the transition point at 𝑧𝑡 = 0.71165. We investigate the observational constraints on the model and calculate some relevant cosmological parameters. We examine the model’s validity by drawing state-finder parameters that yield the result compatible with the modern observational data. The model’s physical and geometrical characteristics are also explored, and they are shown to match well with current observations of observational Hubble data (OHD) and the latest joint light curves(JLA) datasets.
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- In this paper, we have analyzed the significance of bulk viscosity in an axially symmetric Bianchi type-I model to study the accelerated expansion of the universe. We have considered four bulk viscosity parameterizations for the matter-dominated cosmological model. The function of the two significant Hubble 𝐻(𝑧) and deceleration parameters are discussed in detail. The energy parameters of the universe are computed using the most recent observational Hubble data (57 data points) in the redshift range 0.07 ≤ 𝑧 ≤ 2.36. In this model, we obtained all feasible solutions with the viscous component and analyzed the universe’s expansion history. Finally, we analyzed the statefinder diagnostic and found some interesting results. The outcomes of our developed model now properly align with observational results.
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- 2022| World Scientific Pub...In this paper, we have generalized the behaviors of transit cosmological model under the observational data with Barrow holographic dark energy. We consider the scale factor f ield as φ = φ0(tβeαt)m to get exact solutions for the field equations in a non-flat FRW universe in Brans–Dicke theory. The values of the model parameters α and β are obtained by best fitting of 46 observational Hubble data (OHD) points in the range 0 ≤ z ≤ 2.36. The derived model exhibits a transition scenario for open, flat and closed universe. The EoS parameter shows a quintom-like behavior, lies both quintessence (ω>−1) and phantom (ω<−1) regions and crosses the phantom divide. The matter and dark energy density parameters (ρD, ρm), scalar field φ and other cosmological parameters provide the results consistent with the recent observational datasets. Some other physical and geometrical behaviors of BHDE are also described and the satisfactory behaviors are found with current observations (OHD+JLA).
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- 2021| World Scientific Pub...In this paper, we examine the (LRS) Bianchi-type-I cosmological model with holographic dark energy. The exact solutions to the corresponding field equations are obtained by using generalized hybrid expansion law (HEL). The EoS parameter ω for DE is found to be time dependent and redshift dependent and its exiting range for derived model is agreeing well with the current observations. Here we likewise apply two mathematical diagnostics, the statefinder (r, s) and ω d − ω ′d plane to segregate HDE model from the ΛCDM model. Here the ω d − ω ′d diagnostic trajectories is the good tool to classifying the dynamical DE model. We found that our model lies in both thawing region and freezing region. We have also construct the potential as well as dynamics of the quintessence and tachyon scalar field. Some physical and geometric properties of this model along with the physical acceptability of cosmological solution have been discussed in detail.
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