Skip to main content
SpringerLink
Log in

Kaluza-Klein Universe with Cosmic Strings and Bulk Viscosity in a Scalar-Tensor Theory of Gravitation

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

A five dimensional Kaluza-Klein space-time is considered in the frame work of a scalar-tensor theory proposed by Saez and Ballester (Phys. Lett. A 113, 467, 1985) when the source for energy momentum tensor is a bulk viscous fluid containing one dimensional strings. A barotropic equation of state for the pressure and density is assumed to get a determinate solution of the field equations. Also the bulk viscous pressure is assumed to be proportional to the energy density. The physical and kinematical properties of the model are also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Brans, C.H., Dicke, R.H.: Phys. Rev. 124, 925 (1961)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Saez, D., Ballester, V.J.: Phys. Lett. A 113, 467 (1985)

    Article  ADS  Google Scholar 

  3. Nordtvedt, K. Jr.: Astrophys. J. 161, 1069 (1970)

    Article  MathSciNet  ADS  Google Scholar 

  4. Sen, D.K., Dunn, K.A.: J. Math. Phys. 12, 578 (1971)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Sen, D.K.: Z. Phys. 149, 311 (1957)

    Article  ADS  MATH  Google Scholar 

  6. Canuto, V.M., Hsieh, S.H., Adams, P.J.: Phys. Rev. 39, 429 (1977)

    MathSciNet  ADS  MATH  Google Scholar 

  7. Ross, D.K.: Phys. Rev. D 5, 284 (1972)

    Article  ADS  Google Scholar 

  8. Schmidt, G., Greinter, W., Heinz, U., Muller, B.: Phys. Rev. D 24, 1484 (1981)

    Article  ADS  Google Scholar 

  9. Rosen, N.: Gen. Relativ. Gravit. 4, 435 (1973)

    Article  ADS  Google Scholar 

  10. Vilenkin, A., Hwaking, S.W., Israel, W. (eds.): Three hundred years of Gravitation, p. 499. Cambridge Univ. Press, Cambridge (1987)

    MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  13. Bali, R., Pradhan, A.: Chin. Phys. Lett. 24(2), 585 (2007)

    Article  Google Scholar 

  14. Bali, R., Pareek, U.K., Pradhan, A.: Chin. Phys. Lett. 24(8), 2455 (2007)

    Article  Google Scholar 

  15. Yadav, M.K., Pradhan, A., Rai, A.: Int. J. Theor. Phys. 46(11), 2677 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  16. Yadav, M.K., Pradhan, A., Singh, S.K.: Astrophys. Space Sci. 311, 423 (2007)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. Ram, S., Sing, T.K.: Gen. Relativ. Gravit. 27, 1207 (1995)

    Article  ADS  MATH  Google Scholar 

  19. Singh, G.P., Singh, T.: Gen. Relativ. Gravit. 31, 391 (1999)

    Article  ADS  Google Scholar 

  20. Tikeker, R., Patel, L.K.: Gen. Relativ. Gravit. 24, 397 (1992)

    Article  ADS  Google Scholar 

  21. Pradhan, A., Rai, A., Singh, S.K.: Astrophys. Space Sci. 312, 261 (2007)

    Article  ADS  Google Scholar 

  22. Bali, R., Anjali: Astrophys. Space Sci. 302, 201 (2006)

    Article  ADS  Google Scholar 

  23. Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 318, 125 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  25. Saha, B., Visinescu, M.: Astrophys. Space Sci. 315, 99 (2008)

    Article  ADS  Google Scholar 

  26. Reddy, D.R.K.: Astrophys. Space Sci. 286, 356 (2003)

    ADS  Google Scholar 

  27. Reddy, D.R.K.: Astrophys. Space Sci. 286, 359 (2003)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  29. Tripathy, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 315, 105 (2008)

    Article  ADS  Google Scholar 

  30. Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Int. J. Theor. Phys. 48, 213 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  31. Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 323, 91 (2009)

    Article  ADS  Google Scholar 

  32. Saho, P.K.: Int. J. Theor. Phys. 47, 3029 (2008)

    Article  Google Scholar 

  33. Barrow, J.D.: Phys. Lett. B 180, 335 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  34. Padmanabham, T., Chitre, S.M.: Phys. Lett. A 120, 433 (1987)

    Article  ADS  Google Scholar 

  35. Pavon, D., Bafluy, J., Jou, D.: Class. Quantum Gravity 8, 347 (1991)

    Article  ADS  Google Scholar 

  36. Martens, R.: Class. Quantum Gravity 12, 1455 (1995)

    Article  ADS  Google Scholar 

  37. Lima, J.A.S., Germano, A.S.M., Abrama, L.R.W.: Phys. Rev. D 53, 4287 (1993)

    Article  ADS  Google Scholar 

  38. Roy, S.R., Tiwari, O.P.: Indian J. Pure Appl. Math. 14, 233 (1983)

    MathSciNet  ADS  MATH  Google Scholar 

  39. Mohanthy, G., Pattanaik, R.R.: Int. J. Theor. Phys. 30, 239 (1991)

    Article  Google Scholar 

  40. Mohanthy, G., Pradhan, B.D.: Int. J. Theor. Phys. 31, 151 (1992)

    Article  Google Scholar 

  41. Singh, J.K., Shriram: Astrophys. Space Sci. 236, 277 (1996)

    Article  ADS  MATH  Google Scholar 

  42. Singh, J.K.: ILNuoam 1208, 1251 (2005)

    Google Scholar 

  43. Wang, X.X.: Chin. Phys. Lett. 21, 1205 (2004)

    Article  ADS  Google Scholar 

  44. Wang, X.X.: Chin. Phys. Lett. 22, 29 (2005)

    Article  ADS  Google Scholar 

  45. Wang, X.X.: Chin. Phys. Lett. 23, 1702 (2006)

    Article  ADS  Google Scholar 

  46. Bali, R., Dave, S.: Astrophys. Space Sci. 282, 261 (2002)

    Article  Google Scholar 

  47. Bali, R., Pradhan, A.: Chin. Phys. Lett. 24, 585 (2007)

    Article  Google Scholar 

  48. Tripathy, S.K., Behara, D., Routray, T.R.: Astrophys. Space Sci. 325, 93 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  50. Johri, V.B., Sudharsan, R.: Aust. J. Phys. 42, 215 (1989)

    ADS  Google Scholar 

  51. Pimental, L.O.: Int. J. Theor. Phys. 33, 1335 (1994)

    Article  Google Scholar 

  52. Banerjee, N., Beesham, A.: Aust. J. Phys. 49, 899 (1996)

    ADS  Google Scholar 

  53. Singh, J.P., Ghosh, S.G., Beesham, A.: Aust. J. Phys. 50, 1 (1997)

    ADS  Google Scholar 

  54. Reddy, D.R.K.: Astrophys. Space Sci. 286, 356 (2003)

    ADS  Google Scholar 

  55. Reddy, D.R.K.: Astrophys. Space Sci. 286, 359 (2003)

    Article  ADS  MATH  Google Scholar 

  56. Reddy, D.R.K., Naidu, R.L.: Astrophys. Space Sci. 307, 395 (2007)

    Article  ADS  Google Scholar 

  57. Reddy, D.R.K., Naidu, R.L.: Astrophys. Space Sci. 312, 99 (2007)

    Article  ADS  MATH  Google Scholar 

  58. Rao, V.U.M., Vinutha, T., Vijayasanthi, M.: Astrophys. Space Sci. 312, 189 (2007)

    Article  ADS  Google Scholar 

  59. Rao, V.U.M., Vinutha, T., Vijayasanthi, M.: Astrophys. Space Sci. 315, 211 (2008)

    Article  ADS  Google Scholar 

  60. Rao, V.U.M., Vinutha, T., Vijayasanthi, M.: Astrophys. Space Sci. 314, 213 (2008)

    Article  ADS  Google Scholar 

  61. Rao, V.U.M., SreedeviKumari, G., Sirisha, K.V.S.: Astrophys. Space Sci. 335, 635 (2011)

    Article  ADS  MATH  Google Scholar 

  62. Rao, V.U.M., Vijayasanti, M., Vinutha, T., SrideviKumari, G.: Int. J. Theor. Phys. 51, 3303 (2012)

    Article  MATH  Google Scholar 

  63. Naidu, R.L., Satyananrayana, B., Reddy, D.R.K.: Astrophys. Space Sci. 338, 351 (2012)

    Article  ADS  MATH  Google Scholar 

  64. Collins, C.B., Glass, E.N., Wilkinson, D.A.: Gen. Relativ. Gravit. 12, 805 (1980)

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Science and Humanities, MVGR College of Engineering, Vizianagaram, Andhra Pradesh, India

    D. R. K. Reddy

  2. Department of Basic Science and Humanities, Aditya Institute of Technology and Management, Tekkali, Srikakulam, Andhra Pradesh, India

    R. Santhi Kumar

  3. ANU College of Engg & Tech, Acharya Nagarjuna University, Guntur, Andhra Pradesh, India

    T. V. Pradeep Kumar

Authors
  1. D. R. K. Reddy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. Santhi Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. V. Pradeep Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. R. K. Reddy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reddy, D.R.K., Santhi Kumar, R. & Pradeep Kumar, T.V. Kaluza-Klein Universe with Cosmic Strings and Bulk Viscosity in a Scalar-Tensor Theory of Gravitation. Int J Theor Phys 52, 1214–1220 (2013). https://doi.org/10.1007/s10773-012-1437-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1437-7

Keywords

Search

Navigation