Bianchi Type I Cosmological Model with Viscous Fluid in the Framework of VSL Theory

A. S. Ghogre; G. S. Khadekar; Deepti Raut

doi:10.26713/cma.v12i4.1599

Authors

A. S. Ghogre Department of Mathematics, Yeshwantrao Chavan College of Engineering, Wanadongri, Hingna Road, Nagpur 441110, India https://orcid.org/0000-0002-7008-2529 (unauthenticated)
G. S. Khadekar Department of Mathematics, Rashtrasant Tukadoji Maharaj Nagpur University, Mahatma Jyotiba Phule Educational Campus, Amravati Road, Nagpur 440033, India https://orcid.org/0000-0003-0183-5539 (unauthenticated)
Deepti Raut Department of Mathematics, Rajiv Gandhi College of Engineering, Wanadongri, Hingna Road, Nagpur 441110, India https://orcid.org/0000-0002-7482-7655 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v12i4.1599

Keywords:

VSL theory, Viscous fluid, Dark energy

Abstract

The Bianchi type I cosmological model in the framework of Variable Speed of Light (VSL) theory is investigated, by taking into account the effect due to viscosity, considering \(\overline{p}= p-3\zeta H\) where \(\zeta = \zeta_0 \rho H^{-1}\). The Einstein field equations are solved for variable \(G\), \(c\) and \(\Lambda\) in which \(G\), \(c\), \(\Lambda\) and shear parameter \(\sigma^{2}\), all are coupled. It is shown that the viscosity term exhibits the influence on the form of solutions, in the framework of varying speed of light theory.

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References

A. Albrecht and J. Magueijo, Time varying speed of light as a solution to cosmological puzzles, Physical Review D 59 (1999), 043516, DOI: 10.1103/PhysRevD.59.043516.

J. D. Barrow, Cosmologies with varying light speed, Physical Review D 59 (1999), 043515, DOI: 10.1103/PhysRevD.59.043515.

J. A. Belinchón, About Bianchi I with VSL, Astrophysics and Space Science 315 (2008), 111 – 133, DOI: 10.1007/s10509-008-9806-7.

J. A. Belinchón, Perfect fluid Lrs Bianchi I with time varying constants, Astrophysics and Space Science 302 (2006), 161 – 170, DOI: 10.1007/s10509-005-9023-6.

M. J. Drinkwater, J. K. Webb, J. D. Barrow and V. V. Flambaum, New limits on the possible variation of physical constants, Monthly Notices of the Royal Astronomical Society 295(1998), 457 – 462, DOI: 10.1046/j.1365-8711.1998.2952457.x.

A. H. Guth, Inflationary universe: A possible solution to the horizon and flatness problems, Physical Review D 23 (1981), 347, DOI: 10.1103/PhysRevD.23.347.

D. Kalligas, P. Wesson and C. W. F. Everitt, Flat FRW models with variable G and (Lambda), General Relativity and Gravitation 24 (1992), 351 – 357, DOI: 10.1007/BF00760411.

G. S. Khadekar and A. S. Ghogre, Bianchi type I cosmological model with varying G, (Lambda) & (sigma^2) in VSL theory, Journal of Dynamical Systems and Geometric Theories 13(2) (2015), 149 – 162, DOI: 10.1080/1726037X.2015.1076220.

A. Sheykhi and M. R. Setare, Interacting new agegraphic viscous dark energy with varying G, International Journal of Theoretical Physics 49 (2010), 2777 – 2785, DOI: 10.1007/s10773-010-0469-0.

G. Veneziano, Inhomogeneous pre-big bang string cosmology, Physics Letters B 406 (1997), 297 – 303, DOI: 10.1016/S0370-2693(97)00688-6.

R. G. Vishwakarma, A model to explain varying ¤, G and ¾2 simultaneously, General Relativity and Gravitation 37(7) (2005), 1305 – 1311, DOI: 10.1007/s10714-005-0113-0.

J. K. Webb, V. V. Flambaum, C. W. Churchill, M. J. Drinkwater and J. D. Barrow, Search for time variation of the fine structure constant, Physical Review Letters 82 (1999), 884 – 887, DOI: 10.1103/PhysRevLett.82.884.