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Five Dimensional Bulk Viscous String Cosmological Models in Saez and Ballester Theory of Gravitation

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Abstract

LRS Bianchi type-I bulk viscous string cosmological models are obtained in scalar tensor theory of gravitation proposed by Saez and Ballester (Phys. Lett. A 113:467, 1986). It is shown that cosmic string does not survive for ρ+λ=0 whereas it survives for the equations of state ρ=(1+ω)λ (Takabayasi string) and ρ=λ (Geometric string). Some physical and geometrical properties of the exhibited model are discussed.

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References

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

    Article  ADS  Google Scholar 

  2. Ribeiro, M.B., Sanyal, A.K.: J. Math. Phys. 28, 657 (1987)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. Weinberg, S.: Astrophys. J. 168, 175 (1971)

    Article  ADS  Google Scholar 

  4. Weinberg, S.: Gravitation and Cosmology. Wiley, New York (1972)

    Google Scholar 

  5. Ellis, G.F.R.: In: Sachs, R.K. (ed.) General Relativity and Cosmology, p. 124. Academic Press, London (1971)

    Google Scholar 

  6. Myung, S., Cho, B.M.: Mod. Phys. Lett. A 1, 37 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  7. Barrow, J.D.: Nucl. Phys. B 310, 243 (1988)

    Article  MathSciNet  Google Scholar 

  8. Turok, N.: Phys. Rev. Lett. 60, 549 (1988)

    Article  ADS  Google Scholar 

  9. Wolf, C.: Suid-Afr. Tydskr. 14, 68 (1991)

    Google Scholar 

  10. Ellis, G.F.R.: In: Sachs, R.K. (ed.) General Relativity and Cosmology, Enrico Fermi Course, p. 47. Academic Press, New York (1979)

    Google Scholar 

  11. Hu, L.B.: In: Fang, L.Z., Ruffini, R. (eds.) Advances in Astrophysics. World Scientific, Singapore (1983)

    Google Scholar 

  12. Misner, C.W.: Astrophys. J. 151, 431 (1968)

    Article  ADS  Google Scholar 

  13. Murphy, G.L.: Phys. Rev. D 8, 4231 (1973)

    Article  ADS  Google Scholar 

  14. Heller, M., Klimek, Z.: Astrophys. Space Sci. 33, L37 (1975)

    ADS  Google Scholar 

  15. Roy, S.R., Prakash, S.: J. Phys. A, Math. Gen. 9(2), 261 (1976)

    Article  ADS  Google Scholar 

  16. Roy, S.R., Prakash, S.: Indian J. Pure Appl. Math. 8, 823 (1977)

    Google Scholar 

  17. Roy, S.R., Singh, J.P.: Astrophys. Space Sci. 96, 303 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. Banarjee, A., DuttaChaudhurary, S.B., Sanyal, A.K.: J. Math. Phys. 26, 3010 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  19. Santos, N.O., Dias, R.S., Banarjee, A.: J. Math. Phys. 26, 878 (1985)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  20. Bali, R., Jain, D.R.: Astrophys. Space Sci. 139, 175 (1987)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Bali, R., Jain, D.R.: Astrophys. Space Sci. 141, 2075 (1988)

    Article  MathSciNet  Google Scholar 

  22. Mohanty, G., Pradhan, B.D.: Astrophys. Space Sci. 165, 163 (1990)

    Article  ADS  MATH  Google Scholar 

  23. Mohanty, G., Pattanaik, R.R.: Int. J. Theor. Phys. 30, 239 (1991)

    Article  MathSciNet  Google Scholar 

  24. Mohanty, G., Pradhan, B.D.: Astrophys. Space Sci. 181, 1 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Bali, R., Yadav, M.K.: J. Rajasthan Acad. Phys. Sci. 1, 47 (2002)

    MATH  Google Scholar 

  26. Bali, R., Dave, S.: Astrophys. Space Sci. 282, 461 (2002)

    Article  ADS  Google Scholar 

  27. Bali, R., Singh, D.K.: Astrophys. Space Sci. 288, 517 (2003)

    Article  ADS  MATH  Google Scholar 

  28. Rahaman, F., Bhui, B.C., Bhui, B.: Astrophys. Space Sci. 301, 47 (2006)

    Article  ADS  Google Scholar 

  29. Mohanty, G., Samanta, G.C., Mahanta, K.L.: Commun. Phys. 17, 213 (2007)

    Google Scholar 

  30. Mohanty, G., Samanta, G.C.: Turk. J. Phys. 32, 251 (2008)

    Google Scholar 

  31. Mohanty, G., Samanta, G.C.: Int. J. Theor. Phys. 48, 2311 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  32. Chatterjee, S., Bhui, B., Banerjee, A.: Phys. Lett. A 149, 91 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  33. Chatterjee, S.: Ann. Phys. (N.Y.) 218, 121 (1992)

    Article  ADS  MATH  Google Scholar 

  34. Chatterjee, S.: Astrophys. J. 397, 1 (1992)

    Article  ADS  Google Scholar 

  35. Chodos, A., Detweller, S.: Phys. Rev. D 21, 2167 (1980)

    Article  ADS  Google Scholar 

  36. Witten, E.: Phys. Lett. B 144, 351 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  37. Appelquist, T., Chodos, A., Freund, P.G.O.: Modern Kaluza Klein Theories. Addison-Wesley, Reading (1987)

    MATH  Google Scholar 

  38. Chatterjee, S.: Gen. Relativ. Gravit. 25, 1079 (1993)

    Article  ADS  Google Scholar 

  39. Krori, K.D., Chaudhury, T., Mahanta, C.R.: Gen. Relativ. Gravit. 26, 265 (1994)

    Article  MathSciNet  ADS  Google Scholar 

  40. Reddy, D.R.K., Rao, N.V.: Astrophys. Space Sci. 271, 359 (2000)

    Article  Google Scholar 

  41. Rahaman, F., Bera, J.K.: Int. J. Mod. Phys. D 10, 729 (2001)

    Article  ADS  MATH  Google Scholar 

  42. Rahaman, F., Kalam, M.: Pramana J. Phys. 50, 127 (2002)

    Article  ADS  Google Scholar 

  43. Singh, G.P., Deshpande, R.V., Singh, T.: Pramana J. Phys. 63, 937 (2004)

    Article  ADS  Google Scholar 

  44. Adhav, K.S., Khadekar, G.S., Mete, V.G.: Astrophys. Space Sci. 295, 331 (2004)

    Article  ADS  Google Scholar 

  45. Venkateswarlu, R., Pavan Kumar, K.: Astrophys. Space Sci. 301, 73 (2006)

    Article  ADS  MATH  Google Scholar 

  46. Reddy, D.R.K., Naidu, R.L., Rao, S.A., Devi, K.N.: Astrophys. Space Sci. 310, 177 (2007)

    Article  ADS  MATH  Google Scholar 

  47. Redy, D.R.K., GovindaRao, P., Naidu, R.L.: Int. J. Theor. Phys. 47, 3150 (2008)

    Article  Google Scholar 

  48. Khadekar, G.S., Patki, V.: Int. J. Theor. Phys. 47, 1751 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  49. Reddy, D.R.K., Naidu, R.L.: Int. J. Theor. Phys. 47, 2339 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  50. Mohanty, G., Sahoo, R.R., Bishi, B.K.: Astrophys. Space Sci. 319, 75 (2009)

    Article  ADS  Google Scholar 

  51. Reddy, D.R.K., Naidu, R.L.: Int. J. Theor. Phys. 48, 10 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  52. Singh, T., Agrawal, A.K.: Astrophys. Space Sci. 182, 289 (1991)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. Reddy, D.R.K.: Astrophys. Space Sci. 286, 365 (2003)

    Article  ADS  MATH  Google Scholar 

  55. Mohanty, G., Sahu, S.K.: Astrophys. Space Sci. 288, 611 (2003)

    Article  ADS  MATH  Google Scholar 

  56. Mohanty, G., Sahu, S.K.: Astrophys. Space Sci. 291, 175 (2004)

    Article  Google Scholar 

  57. Mohanty, G., Sahu, S.K.: Commun. Phys. 15, 187 (2005)

    Google Scholar 

  58. Reddy, D.R.K.: Astrophys. Space Sci. 305, 139 (2006)

    Article  ADS  MATH  Google Scholar 

  59. Rao, V.U.M., VijayaSanthi, M., Vinutha, T.: Astrophys. Space Sci. 314, 73 (2008)

    Article  ADS  Google Scholar 

  60. Letelier, P.S.: Phys. Rev. D 20, 1294 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  61. Landau, L.D., Lifshitz, E.M.: In: Fluid Mechanics. Course of Theoretical Physics, vol. 6, p. 505 (1963)

    Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  63. Mohanty, G., Sahu, S.K., Sahoo, P.K.: Astrophys. Space Sci. 288, 523 (2003)

    Article  ADS  MATH  Google Scholar 

  64. Mohanty, G., Sahoo, R.R., Mahanta, K.L.: Astrophys. Space Sci. 312, 321 (2007)

    Article  ADS  Google Scholar 

  65. Pradhan, A., Otarod, S.: Astrophys. Space Sci. 311, 413 (2007)

    Article  ADS  MATH  Google Scholar 

Download references

Acknowledgement

The authors would like to convey their sincere thanks to the anonymous reviewers for their useful comments and suggestions for the improvement of the paper.

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Correspondence to P. K. Sahoo.

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Samanta, G.C., Biswal, S.K. & Sahoo, P.K. Five Dimensional Bulk Viscous String Cosmological Models in Saez and Ballester Theory of Gravitation. Int J Theor Phys 52, 1504–1514 (2013). https://doi.org/10.1007/s10773-012-1470-6

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  • DOI: https://doi.org/10.1007/s10773-012-1470-6

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