Volume 53 | Number 1 | Year 2018 | Article Id. IJMTT-V53P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P510
In this paper, we have investigated a Kaluza-Klein bulk viscous string cosmological model in Barber’s (Gen. Relativ. Gravit. 14:117, 1982) second self-creation theory of gravitation. The source for energy momentum tensor is bulk viscous fluid containing one dimensional cosmic string. A cosmological model, which we obtained, represents a bulk viscous string universe in self-creation theory of gravitation. The model is obtained by using some of the possible physical conditions. Several physical and kinematical properties of the model are also discussed.
[1] C.H.Brans,”Consistency of Field equations in Self Creation cosmologies”, Gen. Real. Grav. vol. 19, pp. 949-952, 1987.
[2] G.A.Barber,”On Two Self-Creation Cosmologies”, Gen. Real. Grav. vol. 14, pp. 117, 1982.
[3] D. R. K Reddy and R.L Naidu,”Kaluza-Klein Cosmological Model in Self-Creation Cosmology” Int. J.Theor. Phys. Vol. 48, pp 10-13, 2009.
[4] S.D Katore., R.S Rane., K. S Wankhade.” FRW Cosmological Models with Bulk-Viscosity in Barber’s Second Self-Creation Theory”, Int. J. Theor. Phys Vol 74, Issue 4, pp 669–673, 2010.
[5] A Pradhan and A. K Vishwakarma, “LRS Bianchi Type-I Cosmological Models in Barber's Second Self Creation Theory”, International Journal of Modern Physics, vol. 11, pp 1195, 2002.
[6] U.K Panigrahi and R.C Sahu, “Plane Symmetric Cosmological Macro Models in Self-creation Theory”, Czechoslovak Journal of Physics, vol. 54, 5, pp. 543-551, 2004.
[7] C.P Singh and S. Kumar, “Bianchi type-II space-times with constant deceleration parameter in self creation cosmology”, Astrophys. Space Sci. vol. 310, pp. 31-39, 2007.
[8] D.K.K Reddy and R. Venkateshwarlu, “An anisotropic cosmological model in self-creation cosmology”, Astrophys. Space Sci., vol 152, pp. 337-341, 1989.
[9] Shri Ram and C.P. Singh, “Bianchi type-I models in self-creation cosmology with constant deceleration parameter”, Astrophys. Space Sci. vol. 257, pp. 287, 1998.
[10] D.K.K. Reddy, “Bianchi Type-V Radiating Model In Self-Creation Cosmology”, Astrophys. Space Sci. vol. 133, pp. 389-392, 1987.
[11] D.K.K Reddy, M.D. Avadhanulu and R Venkateshwarlu, “Bianchi Type-IX Radiating Cosmological Model in Self-Creation Cosmology”, Astrophys. Space Sci., vol. 134, pp. 201-204, 1987.
[12] S.D Katore, R. S. Rane, K. S. Wankhade and S.A. Bhaskar, “Accelerating and Decelerating Hypersurface-Homogeneous Cosmological Models in Barber’s Second Self-Creation Theory”, Global Journal of Science Frontier Research (F), vol. 12, pp. 3, 2012.
[13] K.L. Mahanta and A.K. Biswal, “Hypersurface-homogeneous space-time with anisotropic dark energy in scalar tensor theory of gravitation”, Rom Journal. Phys. Vol. 58, pp. 239-246, 2013.
[14] V. C. Jain and N. Jain, “Bianchi type-I magnetized radiating cosmological model in self creation theory of gravitation”, Astrophys. Space Sci. vol. 357, pp. 131, 2015.
[15] M. Shen, “Oscillating cosmological model with a varying ΛΛ term in Barber’s second self-creation theory of gravitation”, Astrophys Space Sci, vol. 361, pp. 319, 2016.
[16] V.U.M. Rao and Divya Prasanthi, “Bianchi type-V modified holographic Ricci dark energy model in self-creation theory of gravitation”, Canadian Journal of Physics, vol. 95(6), pp. 554-58, 2017.
[17] G. S. Khadekar, D. Raut and V.G. Miskin, “FRW viscous Cosmology with Inhomogeneous Equation of State and Future singularity”, Modern Phys. Lett. A, vol. 30, pp 1550144, 2015.
[18] R. L. Naidu, K.D. Naidu, K.S. Babu. And D. R. K. Reddy, “A five dimensional Kaluza-Klein bulk viscous string cosmological model in Brans-Dicke scalar-tensor theory of gravitation”, Astrophys. Space Sci. vol. 347, pp. 197, 2013.
[19] D. R. K. Reddy, R.L. Naidu, K. Dasu Naidu, T. Ram Prasad, “Kaluza-Klein universe with cosmic strings and bulk viscosity in f(R, T) gravity”, Astrophys. Space Sci. vol. 346, pp. 261, 2013.
[20] D. R. K. Reddy, R. L. Naidu, T. Ram Prasad, K. V. Pramana, “LRS Bianchi type-II Bulk Viscous String Cosmological Model in Scale-covariant theory of Gravitation”, Astrophys. Space Sci. vol. 348, pp. 241, 2013.
[21] V. M. Canuto, H.S. Hsieh, and P.J. Adams, “Scale-covariant theory of gravitation and astrophysical applications”. Phys. Rev. Lett., vol. 39, pp. 429-432, 1977.
[22] C. B. Collins, E.N. Glass, and D.A. Wilkinson, “Exact spatially homogeneous cosmologies”, Gen. Relativ. Gravit. vol. 12, pp. 805, 1980.
[23] R. Santhi Kumar and D. R. K. Reddy, “Kaluza-Klein Cosmological Model with Bulk Viscosity in Barber’s Second Self Creation Cosmology”, Int. J of Astronomy, vol. 4(1), pp. 1-4, 2015.
S. D. Tade, Megha K. Tote, R. V. Saraykar, "Kaluza-Klein Bulk Viscous String Cosmological Model in Barber’s Second Self-Creation Theory of Gravitation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 1, pp. 76-80, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P510