Bulk Viscous Cosmological Model in Brans-Dicke Theory with New Form of Time Varying Deceleration Parameter

Singh, G. P.; Bishi, Binaya K.

doi:10.1155/2017/1390572

Cited by 8 publications

(6 citation statements)

References 28 publications

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“…With all the values of the constants in Table 1, we obtain the EoS paramter of CC. Since q lies in the range −1 < q < 0, the accelerating model universe undergoes exponential expansion [90], in agreement with the present cosmology. −0.54…”

Section: Discussionsupporting

confidence: 88%

Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

Singh

2022

Universe

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In this work, we study a spherically symmetric metric in 5D within the framework of Saez-Ballester Theory, where minimal dark energy-matter interaction occurs. We predict that the expanding isotropic universe will be progressively DE dominated. We estimate few values of the deceleration parameter, very close to the recently predicted values. We obtain the value of the DE EoS parameter as ω=−1. Additionally, we measure the value of the overall density parameter as Ω=0.97(≈1), in line with the notion of a close to or nearly (not exactly) flat universe. We predict that the model universe starts with the Big-Bang and ends at the Big Freeze singularity. In general, we cannot find conditions for stabilization of extra dimensions in general relativity, and all dimensions want to be dynamical. Here, we present two possible conditions to solve this stabilization problem in general relativity.

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Section: Discussionsupporting

confidence: 88%

Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

Singh

2022

Universe

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“…(3.3), it has been seen that the deceleration parameter q < 0, ∀t and the acceleration is extreme at the bouncing point t ≈ 3.93 (see figure 3). The authors of [66] investigated the many forms of growth that our universe shows including i) q < −1; super exponential expansion, (ii) −1 ≤ q < 0; exponential expansion ( q = −1 also known as de-Sitter expansion), (iii) q = 0; expansion with constant rate, (iv) −1 < q < 1; accelerating power expansion, and (v) q > 0; decelerating expansion. In other words, one can say that this bouncing model is an ever-accelerating model.…”

Section: Jhep03(2023)191mentioning

confidence: 99%

Bouncing cosmology in modified gravity with higher-order curvature terms

Singh

Balhara

Bamba

et al. 2023

J. High Energ. Phys.

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A bouncing scenario of a flat homogeneous and isotropic universe is explored by using the reconstruction technique for the power-law parametrization of the Hubble parameter in a modified gravity theory with higher-order curvature and trace of the energy-momentum tensor terms. It is demonstrated that bouncing criteria are satisfied so that the cosmological initial singularity can be avoided. In addition, it is shown that the equation of state parameter crosses the line of the phantom divide. In the present scenario, the universe is filled with perfect fluid around the bouncing point, in which the universe becomes highly unstable and a big bounce can be realized. Furthermore, it is found that extremal acceleration occurs at the bouncing point.

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“…We have not considered the case when λ > 0 as it yields positive pressure which is not reliable in the present scenario. Accelerated expansion can be attained when −1 < q < 0 whereas q < −1 causes super-expansion [72]. Fig.…”

Section: Formulation Of the Problem And Solutionsmentioning

confidence: 89%

f(R,T) Gravity Model Behaving as a Dark Energy Source

Singh,

Singh

2020

Preprint

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Within the limits of the present cosmological observations in f (R, T ) gravity theory, we have analyzed a spherically symmetric space-time in 5D setting. The field equations have been carefully studied considering reasonable cosmological assumptions to obtain exact solutions. We have obtained an isotropic model universe undergoing super-exponential expansion. It is predicted that the model universe behaves like a dark energy (vacuum energy) model. In the present scenario, the model evolves with a slow and uniform change of shape. It is observed that the universe is close to or nearly flat. The model is free from initial singularity and is predicted to approach the de-Sitter phase dominated by vacuum energy or cosmological constant in the finite-time future. A comprehensive discussion on the cosmological parameters obtained in view of the recent studies is presented in detail with graphs.

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Bulk Viscous Cosmological Model in Brans-Dicke Theory with New Form of Time Varying Deceleration Parameter

Cited by 8 publications

References 28 publications

Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

Vacuum Energy in Saez-Ballester Theory and Stabilization of Extra Dimensions

Bouncing cosmology in modified gravity with higher-order curvature terms

f(R,T) Gravity Model Behaving as a Dark Energy Source

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