A higher dimensional cosmological model for the search of dark energy source

Singh, Pheiroijam Suranjoy; Singh, Kangujam Priyokumar

doi:10.1142/s0219887821500262

Cited by 5 publications

(3 citation statements)

References 100 publications

(101 reference statements)

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“…Recently, in [7], the authors study a higher dimensional cosmological model to find the origin of DE. They further predict an f (R, T) gravity model as a DE source [8].…”

Section: Introductionmentioning

confidence: 99%

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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“…Recently, in [7], the authors study a higher dimensional cosmological model to find the origin of DE. They further predict an f (R, T) gravity model as a DE source [8].…”

Section: Introductionmentioning

confidence: 99%

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

Singh

2022

Universe

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“…This evidence had attracted several authors (Venkateswarlu and Kumar [26], Khadekar and Avachar [27], Bahrehbakhsh et al [28], Biswal et al [29], Venkateswarlu et al [30] Oli [31], Ramprasad et al [32], Rao et at. [33], Aygun et al [34], Caglar et al [35], Caglar and Aygun [36], Singh and Singh [37]) to study to the field of higher dimensions. We know that at beginning period of times before the universe has undergone compactification transitions the results of the field equations in general relativity and in scalar-tensor theories in higher dimensional space-time are of substantial purpose probably.…”

Section: Introductionmentioning

confidence: 99%

Five Dimensional FRW Radiating Cosmological Model in Presence of Bulk Viscous Fluid in Scalar Tensor Theory of Gravitation

Daimary

Baruah

2022

Trends Sci

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In this paper using the Saez-Ballester scalar-tensor theory of gravitation, we examined a 5-dimensional FRW cosmic space-time in a source of bulk viscous fluid in the article. To examine determinate solutions of the field equations, we used a power law between a scalar field and the universe's scale factor. Our research considers radiating flat, closed, and open models. The physical and kinematical properties of the models were explored in each scenario. In this study, we show that our model expands and is free of initial singularities, as well as that our models decelerate in a conventional manner. HIGHLIGHTS Using the Saez-Ballester theory and a 5-dimensional FRW space-time as a source of bulk viscous fluid, we have obtained cosmological models that can be assumed to be equivalent radiating models in closed, open, and flat space-times We have obtained models that are expanding and free of initial singularity We used a power law between a scalar field and the universe's scale factor

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“…An LRS Bianchi type-I model in cosmology with bulk viscous fluid in Lyra geometry with the help of displacement vector depending upon time was constructed in (26) and found that the bulk viscosity decreases with time. In (27) a perfect fluid cosmological model in Lyra Geometry was studied by using constant deceleration parameter in five dimensional LRS Bianchi type-I Space-time.Considering reasonable cosmological assumptions within the limit of the present cosmological scenario, a spherically symmetric metric in five dimensional setting in the framework of Lyra geometry is analysed (28) . A cosmological model in 5D spherically symmetric space-time with energy momentum tensors of minimally interacting fields of dark matter and holographic dark energy in Brans-Dicke theory was constructed by (29) .…”

Section: Introductionmentioning

confidence: 99%

Higher Dimensional LRS Bianchi Type-I String Cosmological Model with Bulk Viscosity in General Relativity

Priyokumar¹,

Baro²

2021

IJST

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Objective: To present a new solution to the field equations obtained for higher dimensional LRS Bianchi type-I universe generated by means of a cloud of strings with particles connected to them with bulk viscosity in general relativity. Methods: To obtain the solutions of field equations of higher dimensional LRS Bianchi type-I universe we consider that the shear scalar of the model is proportional to the scalar expansion of the model (σ αθ ), which leads to, c = b ∧ n. The physical and geometrical behaviors of the model universe are studied by comparing with the present cosmological scenario and observations. Findings: It is observed that our model is anisotropic, expanding and decelerates at early stage and then accelerates in late universe giving the inflation model universe. Novelty: We obtained new solution to the field equations for higher dimensional LRS Bianchi type-I generated by means of a cloud of strings with bulk viscous fluid in general relativity.

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A higher dimensional cosmological model for the search of dark energy source

Cited by 5 publications

References 100 publications

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

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

Five Dimensional FRW Radiating Cosmological Model in Presence of Bulk Viscous Fluid in Scalar Tensor Theory of Gravitation

Higher Dimensional LRS Bianchi Type-I String Cosmological Model with Bulk Viscosity in General Relativity

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