Advertisement

Pramana

, Volume 78, Issue 4, pp 651–665 | Cite as

String cosmology in LRS Bianchi type-II dusty Universe with time-decaying vacuum energy density Λ

  • HASSAN AMIRHASHCHIEmail author
  • HOSEIN MOHAMADIAN
Article

Abstract

A model of a cloud formed by massive strings is used as a source of LRS Bianchi type-II with time-decaying vacuum energy density Λ. To construct string cosmological models, we have used the energy–momentum tensor for such strings as formulated by Letelier (1983). The high nonlinear field equations have been solved for two types of strings: (i) massive string and (ii) Nambu string. The expansion θ in the model is assumed to be proportional to the shear σ. This condition leads to A = βB m , where A and B are the metric coefficients, m is a constant and β is an integrating constant. Our models are in accelerating phase which is consistent with the recent observations of supernovae type-Ia. The physical and geometrical behaviour of these models are also discussed.

Keywords

LRS Bianchi type-II models Nambu string massive string 

PACS Nos

98.80.–k 98.80.Cq 04.20.–q 04.20.Jb 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    T W B Kibble, J. Phys. A: Math. Gen. 9, 1387 (1976)ADSCrossRefGoogle Scholar
  2. [2]
    T W B Kibble, Phys. Rep. 67, 183 (1980)MathSciNetADSCrossRefGoogle Scholar
  3. [3]
    Ya B Zel’dovich, I Yu Kobzarev and L B Okun, Zh. Eksp. Teor. Fiz. 67, 3 (1975)Google Scholar
  4. [4]
    Ya B Zel’dovich, I Yu Kobzarev and L B Okun, Sov . Phys.-JETP 40, 1 (1975)Google Scholar
  5. [5]
    A E Everett, Phys. Rev . 24, 858 (1981)ADSGoogle Scholar
  6. [6]
    A Vilenkin, Phys. Rev . D24, 2082 (1981)ADSGoogle Scholar
  7. [7]
    Ya B Zel’dovich, Mon. Not. R. Astron. Soc. 192, 663 (1980)ADSGoogle Scholar
  8. [8]
    P S Letelier, Phys. Rev . D20, 1249 (1979)MathSciNetGoogle Scholar
  9. [9]
    P S Letelier, Phys. Rev . D28, 2414 (1983)MathSciNetADSGoogle Scholar
  10. [10]
    A Banerjee, A K Sanyal and S Chakraborty, Pramana – J. Phys. 34, 1 (1990)ADSCrossRefGoogle Scholar
  11. [11]
    M K Yadav et al, arXiv:gr-qc/0611032v2 (2006)Google Scholar
  12. [12]
    B Saha and M Visinescu, arXiv:0803.2414v1 (2008)Google Scholar
  13. [13]
    B Saha et al, arXiv:0812.1443v1 (2008)Google Scholar
  14. [14]
    S Perlmutter et al, Astrophys. J. 483, 565 (1997)ADSCrossRefGoogle Scholar
  15. [15]
    S Perlmutter et al, Nature 391, 51 (1998)ADSCrossRefGoogle Scholar
  16. [16]
    S Perlmutter et al, Astrophys. J. 517, 5 (1999)CrossRefGoogle Scholar
  17. [17]
    A G Riess et al, Astron. J. 116, 1009 (1998)ADSCrossRefGoogle Scholar
  18. [18]
    A G Riess et al, Publ. Astron. Soc. Pac. 114, 1284 (2000)ADSCrossRefGoogle Scholar
  19. [19]
    P M Garnavich et al, Astrophys. J. 493, L53 (1998)ADSCrossRefGoogle Scholar
  20. [20]
    P M Garnavich et al, Astrophys. J. 509, 74 (1998)ADSCrossRefGoogle Scholar
  21. [21]
    B P Schmidt et al, Astrophys. J. 507, 46 (1998)ADSCrossRefGoogle Scholar
  22. [22]
    G Efstathiou et al, Mon. Not. R. Astron. Soc. 330, L29 (2002)ADSCrossRefGoogle Scholar
  23. [23]
    D N Spergel et al, Astrophys. J. Suppl. Ser. 148, 175 (2003)ADSCrossRefGoogle Scholar
  24. [24]
    S W Allen et al, Mon. Not. R. Astron. Soc. 353, 457 (2004)ADSCrossRefGoogle Scholar
  25. [25]
    V Sahni and A A Starobinsky, Int. J. Mod. Phys. D9, 373 (2000)ADSGoogle Scholar
  26. [26]
    P J E Peebles and B Ratra, Rev . Mod. Phys. 75, 559 (2003)MathSciNetADSzbMATHCrossRefGoogle Scholar
  27. [27]
    T Padmanabhan, Phys. Rep. 380, 235 (2003)MathSciNetADSzbMATHCrossRefGoogle Scholar
  28. [28]
    J A S Lima and J M F Maia, Phys. Rev . D49, 5579 (1994)Google Scholar
  29. [29]
    A G Riess et al, Astrophys. J. 607, 665 (2004)ADSCrossRefGoogle Scholar
  30. [30]
    R K Knop et al, Astrophys. J. 598, 102 (2003)ADSCrossRefGoogle Scholar
  31. [31]
    D R K Reddy, Astrophys. Space Sci. 281, 365 (2003)ADSCrossRefGoogle Scholar
  32. [32]
    D R K Reddy, Astrophys. Space Sci. 300, 381 (2005)ADSCrossRefGoogle Scholar
  33. [33]
    D R K Reddy and R L Naidu, Astrophys. Space Sci. 307, 395 (2007)ADSCrossRefGoogle Scholar
  34. [34]
    D R K Reddy, S Rao and M V Rao, Astrophys. Space Sci. 305, 183 (2005)ADSCrossRefGoogle Scholar
  35. [35]
    D R K Reddy, R L Naidu and V U M Rao, Int. J. Theor. Phys. 46, 1443 (2007)MathSciNetzbMATHCrossRefGoogle Scholar
  36. [36]
    V U M Rao, M V Santhi and T Vinutha, Astrophys. Space Sci. 314, 73 (2008)ADSCrossRefGoogle Scholar
  37. [37]
    V U M Rao, T Vinutha and M V Santhi, Astrophys. Space Sci. 314, 213 (2008)ADSCrossRefGoogle Scholar
  38. [38]
    V U M Rao, T Vinutha and K V S Sireesha, Astrophys. Space Sci. 323, 401 (2009)ADSCrossRefGoogle Scholar
  39. [39]
    V U M Rao and T Vinutha, Astrophys. Space Sci. 325, 59 (2010)ADSzbMATHCrossRefGoogle Scholar
  40. [40]
    A Pradhan, Fizika B16, 205 (2007)Google Scholar
  41. [41]
    A Pradhan, Commun. Theor. Phys. 51, 367 (2009)ADSzbMATHCrossRefGoogle Scholar
  42. [42]
    A Pradhan and P Mathur, Astrophys. Space Sci. 318, 255 (2008)ADSCrossRefGoogle Scholar
  43. [43]
    A Pradhan, H Amirhashchi and M K Yadav, Fizika B18, 35 (2009)Google Scholar
  44. [44]
    A Pradhan, K Jotania and A Singh, Braz. J. Phys. 38, 167 (2008)CrossRefGoogle Scholar
  45. [45]
    A Pradhan, R Singh and J P Shahi, Elect. J. Theor. Phys. 7, 197 (2010)Google Scholar
  46. [46]
    A Pradhan, H Amirhashchi and H Zainuddin, Astrophys. Space Sci. DOI: 10.1007/s10509-010-0469-9Google Scholar
  47. [47]
    H Amirhashchi and H Zainuddin, Elect. J. Theor. Phys. 23, 213 (2010)Google Scholar
  48. [48]
    H Amirhashchi and H Zainuddin, Fizika B19, 81 (2010)Google Scholar
  49. [49]
    H Amirhashchi and H Zainuddin, Int. J. Theor. Phys. DOI:10.1007/s10773-010-0474-3Google Scholar
  50. [50]
    S K Tripathi, S K Nayak, S K Sahu and T R Routray, Astrophys. J. 323, 281 (2009)Google Scholar
  51. [51]
    S K Tripathi, D Behera and T R Routray, Astrophys. J. 325, 93 (2010)Google Scholar
  52. [52]
    G Mohanty, R R Sahoo and K L Mahanta, Astrophys. Space Sci. 312, 321 (2007)ADSCrossRefGoogle Scholar
  53. [53]
    D R K Reddy, Astrophys. Space Sci. 286, 365 (2003)ADSzbMATHCrossRefGoogle Scholar
  54. [54]
    D R K Reddy, Astrophys. Space Sci. 305, 139 (2006)ADSzbMATHCrossRefGoogle Scholar
  55. [55]
    M A H MacCallum, Comm. Math. Phys. 20, 57 (1971)MathSciNetADSCrossRefGoogle Scholar
  56. [56]
    K D Krori, T Chaudhuri, C R Mahanta and A Mazumdar, Gen. Relativ . Grav it. 22, 123 (1990)ADSCrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 2012

Authors and Affiliations

  1. 1.Department of Physics, Mahshahr BranchIslamic Azad UniversityMahshahrIran

Personalised recommendations