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

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Abstract

Cosmological models with time varying gravitational constant G and cosmological constant Λ 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 Λ = α H 2 + β R −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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Acknowledgments

We are highly thankful to Dr. Farook Rahaman, Jadavpur University and Dr. Saibal Ray, Government College of Engineering & Ceramic Technology for providing their views and suggestions for substantial improvement of this paper.

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Authors and Affiliations

  1. Department of Physics, M. D. College, Parel, Mumbai, 400012, India

    Namrata I. Jain

  2. Department of Physics, RTM Nagpur University, Parel, Mumbai, 440033, India

    Shyamsunder S. Bhoga

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  1. Namrata I. Jain
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  2. Shyamsunder S. Bhoga
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Correspondence to Namrata I. Jain.

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Jain, N.I., Bhoga, S.S. Kaluza-Klein Bulk Viscous Cosmological Model with Time Dependent Gravitational Constant and Cosmological Constant. Int J Theor Phys 54, 2991–3003 (2015). https://doi.org/10.1007/s10773-015-2538-x

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  • DOI: https://doi.org/10.1007/s10773-015-2538-x

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