Implications of Time Varying Cosmological Constant on Kaluza-Klein Cosmological Model

Jain, Namrata; Bhoga, S. S.; Khadekar, G. S.

doi:10.1007/s10773-013-1760-7

Cited by 9 publications

(9 citation statements)

References 24 publications

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“…It is important to construct a causality relation between source and observer at any time. After assuming a source which is at positionr at timet sending signal to an observer at distance r at time t, the corresponding proper distance between the observer and the source is defined by [71]…”

Section: Neo-classical Testsmentioning

confidence: 99%

“…where L and l represent the total energy emitted by a source per unit time and apparent luminosity of an object, respectively [71]. Consequently, it can be arrived [71] at…”

Section: Neo-classical Testsmentioning

confidence: 99%

“…Now, let's focus on the angular diameter distance d A which describes a measure showing how large an object appears to be. For a light source at proper distance, it is written as [71]…”

Section: Neo-classical Testsmentioning

confidence: 99%

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Variable Chaplygin gas in Kaluza–Klein framework

et al. 2019

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We investigate cosmological features of the variable Chaplygin gas (VCG) describing a unified dark matter–energy scenario in a universe governed by the five dimensional (5D) Kaluza–Klein (KK) gravity. In such a proposal, the VCG evolves from the dust-like phase to the phantom or the quintessence phases. It is concluded that the background evolution for the KK-type VCG definition is equivalent to that for the dark energy interacting with the dark matter. Next, after performing neo-classical tests, we calculated the proper, luminosity, and angular diameter distances. Additionally, we construct a connection between the VCG in the KK universe and a homogenous minimally coupled scalar field by introducing its self-interacting potential and also we confirm the stability of the KK-type VCG model by making use of thermodynamics. Moreover, we use data from type Ia supernova, observational H(z) dataset and Planck-2015 results to place constraints on the model parameters. Subsequently, according to the best-fit values of the model parameters we analyze our results numerically.

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Section: Neo-classical Testsmentioning

confidence: 99%

“…where L and l represent the total energy emitted by a source per unit time and apparent luminosity of an object, respectively [71]. Consequently, it can be arrived [71] at…”

Section: Neo-classical Testsmentioning

confidence: 99%

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Variable Chaplygin gas in Kaluza–Klein framework

et al. 2019

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“…The model with variable G ∝1/H is discussed so as to study the effect of increasing G whereas another model with decreasing G inspired by the investigations carried out by [33,38] and investigate the models for generalized Cosmological Constant [21][22][23]. The Solutions to the above differential equation will be derived for different G in the following section and investigate them for the Universe with viscous fluid.…”

Section: Einstein Field Equationsmentioning

confidence: 99%

Kaluza-Klein Bulk Viscous Cosmological Model with Time Dependent Gravitational Constant and Cosmological Constant

Jain¹,

Bhoga

2015

Int J Theor Phys

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Cosmological models with time varying gravitational constant, G, and cosmological constant , in the presence of viscous fluid in Kaluza-Klein metric were investigated. The solutions to Einstein Field Equation were obtained for different types of G, with bulk coefficient ξ = ξ 0 ρ d (where ρ is density of the Universe, d is some constant) and lambda = αH 2 + βR −2 where H and R are Hubble parameter and scale factor respectively. Two possible models are suggested, one where G is proportional to H and, the other where G is inversely proportional to H. While the former leads to a non-singular model, the latter results in an inflationary model. Both Cosmological models show that the Universe is accelerating; but at the early stage of the Universe the behaviour of both models is quite different,which has been studied through the variation of decelerating parameter q with time.

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“…Moreover, multi-dimensional cosmological models are studied by several authors in the framework of different theories Chodos & Detweiler (1980); Lorenz-Petzold (1985); Ibáez & Verdaguer (1986); Gleiser & Diaz (1988); Reddy & Venkateswara Rao (2001). Jain et al (2013) have obtained exact solutions of Einstein field equations of Kaluza-Klein cosmological model with strange quark matter and string cloud. have studied Kaluza-Klein cosmological model in the presence of f (R, T ) theory of gravity.…”

Section: Introductionmentioning

confidence: 99%

Kaluza–Klein string cosmological model in f(R, T) theory of gravity

2018

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In this paper we have studied Kaluza-Klein string cosmological model within the framework of f (R, T ) theory of gravity, where R is the Ricci scalar and T is the trace of the stress energy momentum tensor. We have obtained the solution of the corresponding field equations by using a time varying deceleration parameter. We also discussed various physical and dynamical properties of the model. The variation of different cosmological parameters are shown graphically for specific values of the parameters of the model.

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Implications of Time Varying Cosmological Constant on Kaluza-Klein Cosmological Model

Cited by 9 publications

References 24 publications

Variable Chaplygin gas in Kaluza–Klein framework

Variable Chaplygin gas in Kaluza–Klein framework

Kaluza-Klein Bulk Viscous Cosmological Model with Time Dependent Gravitational Constant and Cosmological Constant

Kaluza–Klein string cosmological model in f(R, T) theory of gravity

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