Bianchi Type-I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in the Bimetric Theory of Gravitation
N. P. Gaikwad1**, M. S. Borkar2, S. S. Charjan3
1Department of Mathematics, Dharampeth M. P. Deo Memorial Science College, Nagpur 440 033, India 2Post Graduate Department of Mathematics, Mahatma Jyotiba Phule Educational Campus, Amravati Road, R. T. M. Nagpur University, Nagpur 440 033, India 3Department of Mathematics, Late K. Z. S. Science College, Bramhni, Kalmeshwar 441 501 Dist. Nagpur, India
Bianchi Type-I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in the Bimetric Theory of Gravitation
N. P. Gaikwad1**, M. S. Borkar2, S. S. Charjan3
1Department of Mathematics, Dharampeth M. P. Deo Memorial Science College, Nagpur 440 033, India 2Post Graduate Department of Mathematics, Mahatma Jyotiba Phule Educational Campus, Amravati Road, R. T. M. Nagpur University, Nagpur 440 033, India 3Department of Mathematics, Late K. Z. S. Science College, Bramhni, Kalmeshwar 441 501 Dist. Nagpur, India
摘要We investigate the Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in Rosen's bimetric theory of gravitation with and without a magnetic field by applying the techniques used by Latelier (1979, 1980) and Stachel (1983). To obtain a deterministic model of the universe, it is assumed that the universe is filled with barotropic perfect fluid distribution. The physical and geometrical significance of the model are discussed. By comparing our model with the model of Bali et al. (2007), it is realized that there are no big-bang and big-crunch singularities in our model and T=0 is not the time of the big bang, whereas the model of Bali et al. starts with a big bang at T=0. Further, our model is in agreement with Bali et al.(2007) as time increases in the presence, as well as in the absence, of a magnetic field.
Abstract：We investigate the Bianchi type-I massive string magnetized barotropic perfect fluid cosmological model in Rosen's bimetric theory of gravitation with and without a magnetic field by applying the techniques used by Latelier (1979, 1980) and Stachel (1983). To obtain a deterministic model of the universe, it is assumed that the universe is filled with barotropic perfect fluid distribution. The physical and geometrical significance of the model are discussed. By comparing our model with the model of Bali et al. (2007), it is realized that there are no big-bang and big-crunch singularities in our model and T=0 is not the time of the big bang, whereas the model of Bali et al. starts with a big bang at T=0. Further, our model is in agreement with Bali et al.(2007) as time increases in the presence, as well as in the absence, of a magnetic field.
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
N. P. Gaikwad**;M. S. Borkar;S. S. Charjan
. Bianchi Type-I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in the Bimetric Theory of Gravitation[J]. 中国物理快报, 2011, 28(8): 89803-089803.
N. P. Gaikwad**, M. S. Borkar, S. S. Charjan
. Bianchi Type-I Massive String Magnetized Barotropic Perfect Fluid Cosmological Model in the Bimetric Theory of Gravitation. Chin. Phys. Lett., 2011, 28(8): 89803-089803.
[1] Rosen N 1974 Theor. Grav. Annl. Phys. 84 455
[2] Rosen N 1977 Topics in Theoretical and Experiential Gravitation Physics ed Sabtta V D and Weber J (London: Plenum) p 273
[3] Karade T M 1980 Ind. J. Pure Appl. Math. 11 1202
[4] Isrelit 1981 Gen. Rel. Grav. 13 681
[5] Reddy D R K et al 1998 Astrophys. Space Sci. 257 293
[6] Katore S D and Rane R S 2006 Pramana J. Phys. 67 227
[7] Khadekar G S et al 2007 Astrophys. Space Sci. 310 47
[8] Borkar M S et al 2009 Int. J. Appl. Math. 22 445
[9] Borkar M S et al 2009 Tensor in Newman Spacetime 71 155
[10] Borkar M S and Charjan S S 2010 Int. J. AAM 5 96
[11] Borkar M S et al 2010 J. Ind. Acad. Math. 32 147
[12] Sahoo P K et al 2010 Int. J. Theor. Phys. 50 349
[13] Letelier P S 1979 Phys. Rev. D 20 1249
[14] Letelier P S 1983 Phys. Rev. D 28 2414
[15] Stachel J 1980 Phys. Rev. D 21 2171
[16] Bali R et al 2007 Chin. Phys. Lett. 24 2455
[17] Lichnerowicz A 1967 Relativistic Hydrodynamics and Magnetohydro-dynamics (New York: Benjamin) p 13
[18] Ellis G F R 1971 General Relativity and Cosmology ed Sachs R K (Oxford: Clarendon) p 117
2011, Vol. 28 
