Bianchi Type-III String Cosmological Models with Time Dependent Bulk Viscosity
BALI Raj1, PRADHAN Anirudh2
1Department of Mathematics, University of Rajasthan, Jaipur-302 004, India
2Department of Mathematics, Hindu Post-Graduate College, Zamania-232 331, Ghazipur, India
Bianchi Type-III String Cosmological Models with Time Dependent Bulk Viscosity
BALI Raj1;PRADHAN Anirudh2
1Department of Mathematics, University of Rajasthan, Jaipur-302 004, India
2Department of Mathematics, Hindu Post-Graduate College, Zamania-232 331, Ghazipur, India
摘要Bianchi type-III string cosmological models with bulk viscous fluid for massive string are investigated. To obtain the determinate model of the universe, we assume that the coefficient of bulk viscosity ξ is inversely proportional to the expansion θ in the model and expansion θ in the model is proportional to the shear σ. This leads to B =l Cn, where l and n are constants. Behaviour of the model in the presence and absence of bulk viscosity is discussed. The physical implications of the models are also discussed in detail.
Abstract:Bianchi type-III string cosmological models with bulk viscous fluid for massive string are investigated. To obtain the determinate model of the universe, we assume that the coefficient of bulk viscosity ξ is inversely proportional to the expansion θ in the model and expansion θ in the model is proportional to the shear σ. This leads to B =l Cn, where l and n are constants. Behaviour of the model in the presence and absence of bulk viscosity is discussed. The physical implications of the models are also discussed in detail.
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
[1] Kibble T W B 1976 J. Phys. A: Math. Gen. 9 1387 [2] Zel'dovich Ya B, Kobzarev I Yu and Okun L B 1975 Zh.Eksp. Teor. Fiz. 67 3 Zel'dovich Ya B, Kobzarev I Yu and Okun L B 1975 Sov.Phys.-JETP 40 1 [3] Kibble T W B 1980 Phys. Rep. 67 183 [4] Everett A E 1981 Phys. Rev. 24 858 [5] Vilenkin A 1981 Phys. Rev. D 24 2082 [6] Zel'dovich Ya B 1980 Mon. Not. R. Astron. Soc. 192 663 [7] Letelier P S 1979 Phys. Rev. D 20 1249 [8] Letelier P S 1983 Phys. Rev. D 28 2414 [9] Stachel J 1980 Phys. Rev. D 21 2171 [10] Krori K D, Chaudhury T, Mahanta C R and Mazumdar A 1990 Gen. Rel. Grav. 22 123 [11] Wang X X 2003 Chin. Phys. Lett. 20 615 [12] Bali R and Dave S 2001 Pramana---J. Phys. 56 513 [13] Bali R and Upadhaya R D 2003 Astrophys. Space Sci. 283 97 [14] Bali R and Dave S 2003 Astrophys. Space Sci. 288 503 [15] Bali R and Singh D K 2005 Astrophys. Space Sci. 300 387 [16] Bali R and Anjali 2006 Astrophys. Space Sci. 302 201 [17] Yavuz I, Yilmaz I and Baysal H 2005 Int. J. Mod. Phys.D 14 1365 [18] Yilmaz I 2006 Gen. Relativ. Gravit. 38 1397 [19] Selijak U, Slosar A and McDonald P 2006 J. Cosm.Astroparticle Phys. 10 014 [20] Selijak U and Slosar A 2006 Preprint astro-ph/0604143 [21] Maharaj S D, Leach P G L and Govinder K S 1995 Pramana-J. Phys. 44 511 [22] Yadav M K, Pradhan A and Singh S K 2006 Astrophysics andSpace Science (submitted) [23] Yadav M K, Rai A and Pradhan A 2006 Int. J. Theor.Phys. (accepted) (gr-qc/ 0611032) [24] Wang X X 2004 Astrophys. Space Sci. 293 933 [25] Wang X X 2004 Chin. Phys. Lett. 21 1205 [26] Wang X X 2005 Chin. Phys. Lett. 22 29 [27] Wang X X 2006 Chin. Phys. Lett. 23 1702 [28] Landau L D and Lifshitz E M 1963 Fluid Mech. 6 505 [29] Thorne K S 1967 Astrophys. Space Sci. 148 51 [30] Kantowski R and Sachs R K 1966 J. Math. Phys. 7 433 [31] Kristian J and Sachs R K 1966 Astrophys. J. 143 379 [32] Bali R and Jain V C 1999 Astrophys. Space Sci. 262 145 [33] Pradhan A, Yadav L and Yadav A K 2003 Czech. J. Phys. 54 487 [34] Pradhan A and Singh S K 2004 Int. J. Mod. Phys. D 13 503