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Bianchi Type-II String Cosmological Model with Magnetic Field in Scalar-tensor Theory of Gravitation

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Abstract

The spatially homogeneous and totally anisotropic Bianchi type-II cosmological solutions of massive strings have been investigated in the presence of the magnetic field in the framework of scalar-tensor theory of gravitation formulated by Saez and Ballester (Phys. Lett. A 113:467, 1986). With the help of special law of variation for Hubble’s parameter proposed by Berman (Nuovo Cimento B 74:182, 1983) string cosmological model is obtained in this theory. Some physical and kinematical properties of the model are also discussed.

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References

  1. Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1986)

    Article  ADS  Google Scholar 

  2. Saez, D.: A simple coupling with cosmological implications (preprint) (1985)

  3. Singh, T., Agarwal, A.K.: Astrophys. Space Sci. 182, 289 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  4. Ram, S., Singh, J.K.: Astrophys. Space Sci. 234, 325 (1995)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. Ram, S., Tiwari, S.K.: Astrophys. Space Sci. 259, 91 (1998)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. Reddy, D.R.K., Rao, N.V.: Astrophys. Space Sci. 277, 461 (2001)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  7. Kibble, T.W.B., Turok, N.: Phys. Lett. B 116, 141 (1982)

    Article  ADS  Google Scholar 

  8. Vilenkin, A.: Phys. Rev. D 23, 852 (1981)

    Article  ADS  Google Scholar 

  9. Goetz, G.: J. Math. Phys. 31, 2683 (1990)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  10. Letelier, P.S.: Phys. Rev. D 28, 2414 (1983)

    Article  ADS  MathSciNet  Google Scholar 

  11. Stachel, J.: Phys. Rev. D 21, 2171 (1980)

    Article  ADS  MathSciNet  Google Scholar 

  12. Matraverse, D.R.: Gen. Relativ. Gravit. 20, 279 (1988)

    Article  ADS  Google Scholar 

  13. Krori, K.D., Chaudhary, T., Mahanta, C.R., Mazumdar, A.: Gen. Relativ. Gravit. 22, 123 (1990)

    Article  ADS  Google Scholar 

  14. Banerjee, A., Sanyal, A.K., Chakravorty, S.: Pramana J. Phys. 34, 1 (1990)

    Article  ADS  Google Scholar 

  15. Tikekar, R., Patel, L.K.: Gen. Relativ. Gravit. 24, 397 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  16. Ram, S., Singh, J.K.: Gen. Relativ. Gravit. 27, 1207 (1995)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  17. Singh, J.K., Ram, S.: Astrophys. Space Sci. 246, 65 (1997)

    Article  ADS  MATH  Google Scholar 

  18. Singh, J.K.: Astrophys. Space Sci. 281, 585 (2002)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. Singh, J.K.: Int. J. Theor. Phys 48, 905 (2009)

    Article  ADS  MATH  Google Scholar 

  20. Katore, S.D., Rane, R.S.: Pramana J. Phys. 67, 227 (2006)

    Article  ADS  Google Scholar 

  21. Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 321, 247 (2009)

    Article  ADS  Google Scholar 

  22. Singh, G.P.: Nuovo Cimento B 110, 1463 (1995)

    Article  ADS  Google Scholar 

  23. Pradhan, A., Rai, A., Singh, S.K.: Astrophys. Space Sci. 246, 65 (1997)

    Article  Google Scholar 

  24. Singh, J.K., Sharma, N.K.: Int. J. Theor. Phys. 49, 2902 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  25. Singh, J.K., Ram, S.: Astrophys. Space Sci. 225, 57 (1995)

  26. Singh, J.K., Ram, S.: IL Nuovo Cimento 111B, 1487 (1996)

  27. Singh, J.K., Sharma, N.K.: Astrophys. Space Sci. 327, 293 (2010)

  28. Singh, J.K.: Mod. Phys. Lett. A 25, 2363 (2010)

  29. Singh, J.K.: Int. J. Mod. Phys. A 25, 3817 (2010)

  30. Sharma, N.K., Singh, J.K.: Int. J. Theor. Phys. doi:10.1007/s10773-014-2089-6

  31. Sharma, N.K., Singh, J.K.: Int. J. Theor. Phys. doi:10.1007/s10773-014-2164-z

  32. Berman, M.S.: Nuovo Cimento B 74, 182 (1983)

    Article  ADS  Google Scholar 

  33. Throne, K.S.: Astrophys. J. 148, 503 (1967)

    Google Scholar 

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Acknowledgments

The authors express his thanks to Prof. Raj Senani, Director, NSIT, and Prof. Vijay Gupta, Head, School of Applied Sciences, NSIT, India for their continuing encouragement and providing necessary facilities during the work.

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Authors and Affiliations

  1. Department of Mathematics, Netaji Subhas Institute of Technology, University of Delhi, Dwarka, 110078, New Delhi, India

    N. K. Sharma & J. K. Singh

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  1. N. K. Sharma
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  2. J. K. Singh
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Correspondence to N. K. Sharma.

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Sharma, N.K., Singh, J.K. Bianchi Type-II String Cosmological Model with Magnetic Field in Scalar-tensor Theory of Gravitation. Int J Theor Phys 54, 727–735 (2015). https://doi.org/10.1007/s10773-014-2264-9

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  • DOI: https://doi.org/10.1007/s10773-014-2264-9

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