Dynamical system analysis of a five-dimensional cosmological model

Arapoğlu, A. Savaş; Yalçınkaya, Ezgi; Yükselci, A. Emrah

doi:10.1007/s10509-018-3436-5

Cited by 4 publications

(1 citation statement)

References 31 publications

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“…In [106], we can witness a study of an isotropic 3-brane model where stabilization is achieved with the only value of the EoS ω(t) = − 2 3 . Another observation of stabilization in an isotropic perfect fluid model in 5D with the value of EoS ω > − 1 3 can be seen in [107]. In [108], the authors show that the issue of stabilization can be overcome in a theory of gravity involving high-order curvature invariants.…”

Section: Stabilization Of Extra Dimensionsmentioning

confidence: 89%

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: Stabilization Of Extra Dimensionsmentioning

confidence: 89%

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

Singh

2022

Universe

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A dynamical system analysis of bouncing cosmology with spatial curvature

Chakraborty,

Mishra,

Chakraborty

2024

Gen Relativ Gravit

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Anisotropic evolution of D-dimensional FRW spacetime

2019

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We examine the time evolution of the D = d + 4 dimensional Einstein field equations subjected to a flat Robertson-Walker metric where the 3D and higher-dimensional scale factors are allowed to evolve at different rates. We find the exact solution to these equations for a single fluid component, which yields two limiting regimes offering the 3D scale factor as a function of the time. The fluid regime solution closely mimics that described by 4D FRW cosmology, offering a late-time behavior for the 3D scale factor after becoming valid in the early universe, and can give rise to a late-time accelerated expansion driven by vacuum energy. This is shown to be preceded by an earlier volume regime solution, which offers a very early-time epoch of accelerated expansion for a radiation-dominated universe for d = 1. The time scales describing these phenomena, including the transition from volume to fluid regime, are shown to fall within a small fraction of the first second when the fundamental constants of the theory are aligned with the Planck time. This model potentially offers a higher-dimensional alternative to scalar-field inflationary theory and a consistent cosmological theory, yielding a unified description of early-and late-time accelerated expansions via a 5D spacetime scenario.

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Dynamical system analysis of a five-dimensional cosmological model

Cited by 4 publications

References 31 publications

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

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

A dynamical system analysis of bouncing cosmology with spatial curvature

Anisotropic evolution of D-dimensional FRW spacetime

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