Bianchi Type-I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in General Relativity
BALI Raj1, PAREEK Umesh Kumar2, PRADHAN Anirudh3
1Department of Mathematics, University of Rajasthan, Jaipur-302 004, India2Department of Mathematics, Jaipur Engineering College and Research Centre, Jaipur-303 905, India3Department of Mathematics, Hindu Post-graduate College, Zamania-232 331, Ghazipur, India
Bianchi Type-I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in General Relativity
BALI Raj1;PAREEK Umesh Kumar2;PRADHAN Anirudh3
1Department of Mathematics, University of Rajasthan, Jaipur-302 004, India2Department of Mathematics, Jaipur Engineering College and Research Centre, Jaipur-303 905, India3Department of Mathematics, Hindu Post-graduate College, Zamania-232 331, Ghazipur, India
摘要Bianchi type-I massive string cosmological model with magnetic field of barotropic perfect fluid distribution through the techniques used by Latelier and Stachel is investigated. To obtain the deterministic model of the universe, it is assumed that the universe is filled with barotropic perfect fluid distribution. The magnetic field is due to electric current produced along the x-axis with infinite electrical conductivity. The behaviour of the model in the presence and absence of magnetic field together with other physical aspects is further discussed.
Abstract:Bianchi type-I massive string cosmological model with magnetic field of barotropic perfect fluid distribution through the techniques used by Latelier and Stachel is investigated. To obtain the deterministic model of the universe, it is assumed that the universe is filled with barotropic perfect fluid distribution. The magnetic field is due to electric current produced along the x-axis with infinite electrical conductivity. The behaviour of the model in the presence and absence of magnetic field together with other physical aspects is further discussed.
(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, Yu I and Okun L B 1975 Zh.Eksp. Teor. Fiz. 67 3 Zel'dovich Ya B, Kobzarev, Yu I 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. 192663 [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] Banerjee A, Sanyal A K and Chakraborty S 1990 Pramana J.Phys. 34 1 [11] Chakraborty S 1991 Ind. J. Pure Appl. Phys. 29 31 [12] Tikekar R and Patel L K 1992 Gen. Rel. Grav. 24 397 [13] Tikekar R and Patel L K 1994 Pramana J. Phys. 42 483 [14] Patel, L K and Maharaj S D 1996 Pramana J. Phys. 47 33 [15] Ram, S and Singh, T K 1995 Gen. Rel. Grav. 27 1207 [16] Carminati J and McIntosh C B G 1980 J. Phys. A: Math.Gen. 13 953 [17] Krori K D, Chaudhury T, Mahanta C R and Mazumdar A 1990 Gen. Rel. Grav. 22 123 [18] Wang X X 2003 Chin. Phys. Lett. 20 615 [19] Singh G P and Singh T 1999 Gen. Relativ. Gravit. 31 371 [20] Bali R and Upadhaya R D 2003 Astrophys. Space Sci. 283 97 [21] Bali R and Pradhan A 2007 Chin. Phys. Lett. 24585 [22] Bali R and Anjali 2006 Astrophys. Space Sci. 302 201 [23] Yadav M K, Rai A and Pradhan A 2007 Int. J. Theor.Phys. (to be published) (gr-qc/0611032) [24] Melvin M A 1975 Ann. New York Acad. Sci. 262 253 [25] Wang X X 2006 Chin. Phys. Lett. 23 1702 [26] Wang X X 2004 Astrophys. Space Sci. 293 933 [27] Chakraborty N C and Chakraborty 2001 Int. J. Mod. Phys.D 10 723 [28] Singh G P and Singh T 1999 Gen. Rel. Gravit. 31 371 [29] Lichnerowicz A 1967 Relativistic Hydrodynamics andMagnetohydrodynamics (New York: Benjamin) p 13 [30] Roy Maartens 2000 Pramana J. Phys. 55 576 [31] Ellis G F R 1971 General Relativity and Cosmology edSachs R K (Oxford: Clarendon) p 117 [32] MacCallum M A H 1971 Comm. Math. Phys. 20 57