Abstract
In this paper, the effect of electromagnetic field in the string Bianchi type-VI0 Universe is investigated. Einstein’s field equations have been solved exactly with suitable physical assumptions for two types of strings: (i) massive strings and (ii) Nambu strings. It is found that when the Universe is dominated by massive strings, the existence of electromagnetic field is necessary as it accelerates the expansion of the Universe. But when our Universe is dominated by Nambu strings, the electromagnetic field does not have significant effect on the evolution of the Universe. We have also shown that the early massive string-dominated Universe got converted to Nambu string-dominated Universe later. Our models are derived from an early deceleration phase to an accelerating phase which is consistent with the recent observations of supernovae type-Ia. The physical and geometrical behaviour of these models are also discussed.
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References
T W B Kibble, J. Phys. A: Math. Gen. 9, 1387 (1976)
T W B Kibble, Phys. Rep. 67, 183 (1980)
Ya B Zel’dovich, I Yu Kobzarev and L B Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1975)
Ya B Zel’dovich, I Yu Kobzarev and L B Okun, Sov . Phys.-JETP 40, 1 (1975)
A E Everett, Phys. Rev. 24, 858 (1981)
A Vilenkin, Phys. Rev . D24, 2082 (1981)
A Albrecht and A Stebbins, Phys. Rev . Lett. 69, 2615 (1992)
YB Zel’dovich, Mon. Not. R. Astron. Soc. 192, 663 (1980)
A Banerjee, A K Sanyal and S Chakraborty, Pramana – J. Phys. 34, 1 (1990)
M K Yadav, A Rai and A Pradhan, Int. J. Theor. Phys. 46, 2677 (2007)
J A Belinchon, Astrophys. Space Sci. 323, 307 (2009)
B Saha and M Visinescu, arXiv:0803.2414v1 (2008)
P S Letelier, Phys. Rev . D20, 1249 (1979)
P S Letelier, Phys. Rev . D28, 2414 (1983)
Y Sofue, T Takano and M Fujimoto, Astron. Astrophys. 91, 335 (1980)
A H Taub, Ann. Math. 53, 472 (1951)
M Ryan and L C Shepley, Homogeneous relativ istic cosmologies (Princeton University Press, Princeton, New Jersey, 1975)
Ya B Zel’dovich, Magnetic field in astrophysics (Gordon & Breach, New York, 1993)
E R Harrison, Phys. Rev . Lett. 30, 188 (1973)
C W Misner, K S Thorne and J A Wheeler, Grav itation (Freeman, New York, 1973)
E Asseo and H Sol, Phys. Rep. 6, 148 (1987)
R Pudritz and J Silk, Astrophys. J. 342, 650 (1989)
K T Kim, P G Tribble and P P Kronberg, Astrophys. J. 379, 80 (1991)
R Perley and G Taylor, Astrophys. J. 101, 1623 (1991)
P P Kronberg, J J Perry and E L Zukowski, Astrophys. J. 387, 528 (1991)
A M Wolfe, K Lanzetta and A L Oren, Astrophys. J. 388, 17 (1992)
R Kulsrud, R Cen, J P Ostriker and D Ryu, Astrophys. J. 380, 481 (1997)
J D Barrow, Phys. Rev . D55, 7451 (1997)
A Banerjee, A K Sanyal and S Chakraborty, Pramana – J. Phys. 34, 1 (1990)
S Chakraborty, Ind. J. Pure Appl. Phys. 29, 31 (1980)
R Tikekar and L K Patel, Gen. Relativ . Grav it. 24, 397 (1992)
R Tikekar and L K Patel, Pramana – J. Phys. 42, 483 (1994)
L K Patel and S D Maharaj, Pramana – J. Phys. 47, 1 (1996)
G P Singh and T Singh, Gen. Relativ . Grav it. 31, 371 (1999)
G P Singh, Nuov o Cimento B110, 1463 (1995)
G P Singh, Pramana – J. Phys. 45, 189 (1995)
J E Lidsey, D Wands and E J Copel, Phys. Rep. 337, 343 (2000)
R Bali and Anjali, Astrophys. Space Sci. 302, 201 (2006)
R Bali and S Dave, Pramana – J. Phys. 56, 513 (2001)
R Bali and D K Singh, Astrophys. Space Sci. 300, 387 (2005)
R Bali and R D Upadhaya, Astrophys. Space Sci. 283, 97 (2003)
R Bali and A Pradhan, Chin. Phys. Lett. 24, 585 (2007)
R Bali, A Pradhan and H Amirhashchi, Int. J. Theor. Phys. 47, 2594 (2008)
M K Yadav, A Rai and A Pradhan, Int. J. Theor. Phys. 46, 2677 (2007)
M K Yadav, A Pradhan and S K Singh, Astrophys. Space Sci. 311, 423 (2007)
A K Yadav, A Pradhan and A Singh, Roman. J. Phys. 56, 1019 (2011)
A Pradhan and S Lata, Elec. J. Theor. Phys. 8, 153 (2011)
G Mohanty, R R Sahoo and K L Mahanta, Astrophys. Space Sci. 312, 321 (2007)
D R K Reddy, Astrophys. Space Sci. 286, 365 (2003)
D R K Reddy, Astrophys. Space Sci. 305, 139 (2006)
A G Riess et al, Astrophys. J. 607, 665 (2004)
S Perlmutter et al, Astrophys. J. 517, 565 (1999)
K D Krori, T Chaudhuri, C R Mahanta and A Mazumdar, Gen. Relativ. Gravit. 22, 123 (1990)
M A H MacCallum, Commun. Math. Phys. 20, 57 (1971)
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The author thanks the Mahshahr branch of Islamic Azad University for providing facility and support where this work was carried out. The author also thanks the anonymous referee for the fruitful comments and suggestions.
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AMIRHASHCHI, H. String cosmology in Bianchi type-VI0 dusty Universe with electromagnetic field. Pramana - J Phys 80, 723–738 (2013). https://doi.org/10.1007/s12043-013-0513-8
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DOI: https://doi.org/10.1007/s12043-013-0513-8