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Higher Dimensional Cosmological Models with Bulk Viscous Fluid

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Abstract

In the present study, we have investigated (n + 2)-dimensional non-static FRW models with zero curvature in presence of bulk viscosity in the framework of general relativity. To get deterministic solutions, we employed the conditions ζ = ζ 0 θ (where ζ 0 is a constant) and Λ = a S m (where a and m are constants). Physical and Kinematical parameters of the models are discussed. In the paper, an attempt is made to compare (n + 2)-dimensional FRW models with four dimensional ones, which for n = 2 reduce to four dimensional FRW models. We also established a relation connecting energy density and the radiation temperature in the radiation dominated era. It is also seen that the presence of bulk viscosity accelerates the expansion of the universe, which is in agreement with recent observations.

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References

  1. Barnes, R.C.: Mon. Not. R. Astro. Soc. 195, 959 (1981)

    Article  ADS  Google Scholar 

  2. Tinsley, B.M.: Phys. Today 30, 32 (1977)

    Article  Google Scholar 

  3. Wesson, P.S.: Space-Time-Matter. World Scientific, Singapore (1999)

    Book  Google Scholar 

  4. Chodos, A., Detweiler, S.: Phys. Rev. D 21, 2167 (1980)

    Article  ADS  Google Scholar 

  5. Chatterjee, S., Bhui, B.: Mon. Not. R. Astron. Soc. 247, 577 (1990)

    MathSciNet  Google Scholar 

  6. Chatterjee, S.: Proceedings of the 22nd Texas Symposium on Astrophysics at Standford University, Dec. 13-17, pp. 225–227 (2005)

  7. Reiss, A.G., Flippenko, A.V., Challis, P., et al.: AJ 116, 1009 (1998)

    Article  ADS  Google Scholar 

  8. Perlmutter, S., Aldering, G., Goldhaber, G., et al.: ApJ 517, 565 (1999)

    Article  ADS  Google Scholar 

  9. Phillips, M.M.: ApJ 413, 105 (1993)

    Article  ADS  Google Scholar 

  10. Hamuy, M., Phillips, M.M., Maza, J., et al.: ApJ 109, 1 (1995)

    Google Scholar 

  11. Spergel, D.N., Verde, L., Peiris, H.V., et al.: ApJS 148, 175 (2003)

    Article  ADS  Google Scholar 

  12. Tegmark, M., Blanton, M.R., Strauss, M.A., et al.: ApJ 606, 702 (2004a)

    Article  ADS  Google Scholar 

  13. Tegmark, M., Strauss, M.A., Blanton, M.R., et al.: Phys. Rev. D 69, 103501 (2004b)

    Article  ADS  Google Scholar 

  14. Guth, A.H.: Phys. Rev. D 23, 347 (1981)

    Article  ADS  Google Scholar 

  15. Alvarez, E., Gavela, M.B.: Phys. Rev. Lett. 51, 931 (1983)

    Article  ADS  Google Scholar 

  16. Marciano, W.J.: Phys. Rev. Lett. 52, 489 (1984)

    Article  ADS  Google Scholar 

  17. Myers, R.C., Perry, M.J.: Ann Phys. (N.Y) 172, 304 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  18. Jantzen, R.: In Origin and Early History of the Universe, pp. 237. In: Damaret, J. (ed.) Proceedings of the 26th Liege Colloquim (1986)

  19. Shen, Y.-G., Tan, Z.-Q.: Phys. Lett. 137, 96 (1989)

    Article  MathSciNet  Google Scholar 

  20. Ellis, G.F.R. In: Sachs, R. (ed.) : In Genereal Relativity and Cosmology, Enrico Fermi Course. Academic, New York (1979)

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

    Article  ADS  Google Scholar 

  22. Hu, B.L.: In: Fang, L.J., Ruffini, R. (eds.) : In advances in astrophysics. World Scientific, Singapore (1983)

  23. Padmanabhan, T., Chitre, S.M.: Phys. Lett. A 120, 433 (1987)

    Article  ADS  Google Scholar 

  24. Johri, V.B., Sudharsan, R.: Astralian Journal of Physics 42, 215 (1989)

    ADS  Google Scholar 

  25. Zimdhal, W.: Phys. Rev. D 53, 5483 (1996)

    Article  ADS  Google Scholar 

  26. Pimentel, L.O.: Int. J. Theor. Phys. 33, 1335 (1994)

    Article  Google Scholar 

  27. Beesham, A.: Questioners Mathematicae 19, 2191 (1996)

    MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  29. Singh, G.P., Kalyani, D.: Pramana- J. Phys. 49, 205 (1997)

    Article  ADS  Google Scholar 

  30. Krori, K.D., Mukherjee, A.: Gen. Relativ. Gravit. 32(8), 1429 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  31. Ren, J., Meng, X.H.: Phys. Lett. B 636, 5–12 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  32. Singh, J.P., Singh, P., Bali, R.: Int. J. Theor. Phys. (2012). doi:10.1007/S100773-012-1268-6

  33. Barrow, J.D.: Phys. Lett. B 180, 355–339 (1996)

    MathSciNet  Google Scholar 

  34. Barrow, J.D.: Nucl. Phys. B 310, 743–763 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  35. Barrow, J.D.: In The Formation and Evolution of Cosmic Strings, pp. 449–464. Cambridge University Press, Cambridge (1990)

    Google Scholar 

  36. Li, B., Barrow, J. D.: Phys. Rev. D 79, 103521 (2009)

    Article  ADS  Google Scholar 

  37. Colistete, R., et al.: Phys. Rev. D 76, 103516 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  38. Hipolito-Ricaldi, W.S., Velten, H.E.S., Zimdhal, W.: J. Cosmol. Astropart. Phys., 016 (2009)

  39. Overduin, J.M., Cooperstock, F.I.: Phys. Rev. D 58, 043506 (1998)

    Article  ADS  Google Scholar 

  40. Chen, W., Wu, Y.S.: Phys. Rev. D 41, 695 (1990)

    Article  ADS  Google Scholar 

  41. Pavon, D.: Phys. Rev. D 43, 375 (1991)

    Article  ADS  Google Scholar 

  42. Carvalho, J.C., Lima, J.A.S., Waga, I.: Phys. Rev. D 46, 2404 (1992)

    Article  ADS  Google Scholar 

  43. Lima, J.A.S., Maia, J.M.F.: Phys. Rev. D 49, 5579 (1994)

    Article  ADS  Google Scholar 

  44. Lima, J.A.S., Tradden, M.: Phys. Rev. D 53, 4280 (1996)

    Article  ADS  Google Scholar 

  45. Schutzhold, R.: Phys. Rev. Lett. 89, 081302 (1996). Int. J. Mod. Phys. A 17, 4359 (1996)

    Article  ADS  Google Scholar 

  46. Carneiro, S., Lima, J.A.S.: Int. J. Mod. Phys. 20, 2465 (2005)

    Article  ADS  Google Scholar 

  47. Cunha, J.V., Santos, R.C.: Int. J. Mod. Phys. 13, 1321 (2004)

    Article  ADS  Google Scholar 

  48. Arbab, A.I., Abel-Rahman, A.M.M.: Phys. Rev. D 50, 7725 (1994)

    Article  ADS  Google Scholar 

  49. Singh, J.P., Tiwari, R.K.: Int. J. Mod. Phys. D 16, 745 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  50. Tiwari, R.K.: Ap & SS 321, 147 (2009)

    Article  ADS  Google Scholar 

  51. Singh, J.P., Pradhan, A., Singh, A.K.: Astrophys. Space Sci. 314, 83 (2008)

    Article  ADS  Google Scholar 

  52. Tiwari, R.K.: Res. Astron. Astrophys. 11, 767 (2011)

    Article  ADS  Google Scholar 

  53. Tiwari, R.K.: Res. Astron. Astrophys. 10, 291 (2010)

    Article  ADS  Google Scholar 

  54. Tiwari, R.K., Jha, N.K.: Chin. Phys. Lett. 26, 109804 (2009)

    Article  Google Scholar 

  55. Pradhan, A., Kumar, A.: Int. J. Mod. Phys. D 10, 291 (2001)

    Article  ADS  Google Scholar 

  56. Pradhan, A., Yadav, A.K.: Int. J. Mod. Phys. D 11, 983 (2002)

    Google Scholar 

  57. Pradhan, A., et al. arXiv:0508089v2 (2005)

  58. Fabris, J.C., Goncalves, S.V.B., de Sa Ribero, R.: Gen. Relativ. Gravit. 38, 495 (2006)

    Article  ADS  Google Scholar 

  59. Burbidge, et al.: Rev. Mod. Phys. 29, 547 (1957)

    Article  ADS  Google Scholar 

  60. Spergel, D.N., Bean, R., Dore, O., et al.: ApJS 170, 377 (2007)

    Article  ADS  Google Scholar 

  61. Perlmutter, S., Aldering, G., della Valle, M., et al.: Nature 391, 51 (1998)

    Article  ADS  Google Scholar 

  62. Kalligas, D., Wesson, P.S., Everitt, C.W.F.: Gen. Relativ. Gravit. 24, 351 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  63. Berman, M.S., Som, M.M.: Int. J. Theor. Phys. 29, 567 (1990)

    Article  MathSciNet  Google Scholar 

  64. Bertolami, O.: Nuovo Cimento B Series 93, 36 (1986)

    Article  ADS  Google Scholar 

  65. Dou, X., Meng, X.-H.: Hind. Pub. Corp. 2011, 829340 (2011)

  66. Burd, A., Coley, A.A.: Class. Quantum Gravity 11, 83 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  67. Pavon, D., Bafaluy, J., Jou, D.: Class. Quantum Gravity 8, 347 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  68. Singh, J.P., Baghel, P.S.: Int. J. Theor. Phys. 48, 449 (2009)

    Article  MathSciNet  Google Scholar 

  69. Singh, J.P., Baghel, P.S.: Electron. J. Theor. Phys 6, 85 (2009)

    Google Scholar 

  70. Singh, C.P., Kumar, S., Pradhan, A.: Class. Quantum Gravity 24, 455 (2007)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

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Tiwari, R.K., Singh, R. Higher Dimensional Cosmological Models with Bulk Viscous Fluid. Int J Theor Phys 54, 2652–2661 (2015). https://doi.org/10.1007/s10773-014-2497-7

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