Open Access
Article
Bianchi type i cosmological model with varying G, Λ & σ2 in VSL theory
G.S. KHADEKARgkhadekar@yahoo.comDEPARTMENT OF MATHEMATICS, RASHTRASANT TUKADOJI MAHARAJ NAGPUR UNIVERSITY, MAHATMA JYOTIBA PHULE EDUCATIONAL CAMPUS, AMRAVATI ROAD, E-MAIL:DEPARTMENT OF MATHEMATICS ASHTRASANT TUKADOJI MAHARAJ NAGPUR UNIVERSITY, MAHATMA JYOTIBA PHULE EDUCATIONAL CAMPUS, AMRAVATI ROAD, NAGPUR-440033, INDIANagpur, Maharashtra, 440033, IndiaView full profile → , *Arti GhogreCorresponding authorarti_ghogre@rediffmail.comDEPARTMENT OF MATHEMATICS, SHRJ DATTA MEGHE POLYTECHNIC, WANADONGRI, HINGNA ROAD,NAGPUR-, 441110, INDIAView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 31 Mar 2015
- Accepted:
- 16 May 2015
- Published Online:
- 03 Jul 2015
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2015.1076220
- Pages:
- 149–162
Abstract
In this paper we study the Bianchi type I cosmological model in the framework of variable speed of light (VSL) theory. The cosmological field equations are solved for variable G，c and Λ coupled with shear parameter σ2. It is shown for the large value of t the resulting model reduces to FLRW model with Λ approaches to constant. We also derived exact expressions for the look back time, proper distance, luminosity distance and angular diameter distance versus redshift in the framework of VSL theory as already discussed by Khadekar and Kamdi [Int. Jour. Theo. Phys.48314% (2009)] in different context.
Keywords
Subject Classifications
83F05
References
Abdussattar, VishwakarmaR. G.: Some FRW models with variable G and Λ , Class. Quantum.Grav.14, pp 945 ( 1997 ). AlbrechtA. and MagueijoJ.: A time varying speed of light as a solution to cosmological Puzzles , Phys. Rev. D59, pp 043516 ( 1999 ). doi: 10.1103/PhysRevD.59.043516 AvelinoP. P. and MartinsC. J. A. P.: Does the varying speed of light solve the cosmological problem , Phys. Lett. B459, pp 468 ( 1999 ). doi: 10.1016/S0370-2693(99)00694-2 BelinchonJ. A.: Perfect Fluid LRS Bianchi I with time varying constants , Astrophys. Space Sci.302, pp 161 ( 2006 ). doi: 10.1007/s10509-005-9023-6 BelinchonJ. A. and ChakrabartyI.: Perfect fluid cosmological models with time varying constants , Int. Jour. Mod. Phys.D12, pp 1113 ( 2003 ). BarrowJ. D.: Cosmologies with varying light speed , Phys. Rev. D59, pp 043515 ( 1999 ). doi: 10.1103/PhysRevD.59.043515 DamourT., GibbonsG. W. and TaylorJ. H.: Limits on the variability of G using Binary-Palsar data , Phys. Rev. Lett.61, pp 1151 ( 1988 ). DiracP. A. M.: Classical Theory of Radiating Electrons , Proc. R. Soc. London A167, pp 148 ( 1938 ). doi: 10.1098/rspa.1938.0124 DrinkwaterM. J., WebbJ. K., BarrowJ. D. and FlambaumV. V.: New limits on the possible variation of the fine structure constants , Mon. Not. R. Astron. Soc.295, pp 457 ( 1998 ). doi: 10.1046/j.1365-8711.1998.2952457.x GuthA. H.: Inflationary universe: A possible solution to the horizon and flatness problems , Phys.Rev. D23, pp 347 ( 1981 ). KalligasD., WessonP., EverittC. W. F.: Flat FRW model with variable G and Λ , Gen. Rel.Grav.24, pp 351 ( 1992 ). doi: 10.1007/BF00760411 KhadekarG. S. and KamdiVaishali: Kaluza Klein type cosmological model of early universe with variable cosmological term Λ: Kinematic tests , Int. Jour. Theor. Phys.48, pp 3147 ( 2009 ). MoffatJ. W.: Superluminary Universe: A possible solution to the initial value problem in cosmology , Int. J. Mod. Phys. D2, pp 351 ( 1993 ). SinghC. P.: Early homogeneous universe with variable cosmological constant: Kinematics tests , Int. Jour. Mod. Phys. A, pp 2415 ( 2007 ). VenezianoG.: Inhomogeneous pre-Big bang strong cosmology Phys. Lett. B406, pp 297 ( 1997 ). VishwakarmaR. G.: A model to explain varying Λ, G and σ simultaneously , Gen. Rel.Grav.37( 7 ), pp 1305 ( 2005 ). doi: 10.1007/s10714-005-0113-0 WebbJ. K., FlambaumV. V., ChurchillC. W., DrinkwaterM. J. and BarrowJ. D.: Search for time variation of the fine structure constant , Phys. Rev. Lett.82, pp 884 ( 1999 ). doi: 10.1103/PhysRevLett.82.884
Views: 7Downloads: 2Citations: 0
