Advertisement

Gravitation and Cosmology

, Volume 23, Issue 4, pp 392–400 | Cite as

Transit cosmological models with domain walls in f(R, T) gravity

  • Rishi Kumar Tiwari
  • A. Beesham
  • Anirudh Pradhan
Article

Abstract

We study the physical behavior of the transition of a 5D perfect fluid universe from an early decelerating phase to the current accelerating phase in the framework of f(R, T) theory of gravity in the presence of domain walls. The fifth dimension is not observed because it is compact. To determine the solution of the field equations, we use the concept of a time-dependent deceleration parameter which yields the scale factor a(t) = sinh1/n(αt), where n and α are positive constants. For 0 < n ≤ 1, this generates a class of accelerating models, while for n > 1 the universe attains a phase transition from an early decelerating phase to the present accelerating phase, consistent with the recent observations. Some physical and geometric properties of the models are also discussed.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    S. Perlmutter et al. (Supernova Cosmology Project collaboration), Astrophys. J. 483, 565 (1997); [astroph/9608192]ADSCrossRefGoogle Scholar
  2. 1a.
    S. Perlmutter et al. (Supernova Cosmology Project collaboration), Nature 391, 51 (1998); astro-ph/9712212]ADSCrossRefGoogle Scholar
  3. 2b.
    S. Perlmutter et al. (Supernova Cosmology Project collaboration), Astrophys. J. 517, 565 (1999); astro-ph/9812133.ADSCrossRefGoogle Scholar
  4. 2.
    A. G. Riess et al. (Supernova Search Team collaboration), Astron. J. 116, 1009 (1998)ADSCrossRefGoogle Scholar
  5. 2a.
    A. G. Riess et al. (Supernova Search Team collaboration), Astrophys. J. 607, 665 (2004); astro-ph/0402512]ADSCrossRefGoogle Scholar
  6. 2b.
    A. G. Riess et al. (Supernova Search Team collaboration), Astrophys. J. 659, 98 (2007); astroph/0611572].ADSCrossRefGoogle Scholar
  7. 3.
    C. L. Bennett et al. (WMAP collaboration), Astrophys. J. Suppl. 148, 1 (2003); astro-ph/0302207ADSCrossRefGoogle Scholar
  8. 3a.
    D. N. Spergel et al. (WMAP collaboration), Astrophys. J. Suppl. 148, 175 (2003); astro-ph/0302209.ADSCrossRefGoogle Scholar
  9. 4.
    E. Hawkins et al., Mon. Not. Roy. Astron. Soc. 346, 78 (2003)ADSCrossRefGoogle Scholar
  10. 4a.
    M. Tegmark, et al. (SDSS collaboration), Phys. Rev. D 69, 103501 (2004); astro-ph/0310723.ADSCrossRefGoogle Scholar
  11. 5.
    D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005); astro-ph/0501171.ADSCrossRefGoogle Scholar
  12. 6.
    B. Jain and A. Taylor, Phys. Rev. Lett. 91, 141302; astro-ph/0306046.Google Scholar
  13. 7.
    P. A. R. Ade et al. (Planck Collaboration), Astron, Astroph. 594, A13 (2016); arXiv: 1502.01589.CrossRefGoogle Scholar
  14. 8.
    S. Alam et al. (BOSS Collaboration), arXiv: 1607.03155.Google Scholar
  15. 9.
    S. Naess et al. (ACTPol Collaboration), JCAP 10, 007 (2014); arXiv:1405.5524.ADSCrossRefGoogle Scholar
  16. 10.
    J. T. Nielsen, A. Guffanti, and S. Sarkar, Sci. Rep. 6, 35596 (2016); arXiv: 1506.01354.ADSCrossRefGoogle Scholar
  17. 11.
    H. Shariff, X. Jiao, R. Trotta, and D. A. van Dyk, Astrophys. J. 827, 1 (2016); arXiv: 1510.05954.ADSCrossRefGoogle Scholar
  18. 12.
    V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000); astro-ph/9904398ADSGoogle Scholar
  19. 12a.
    V. Sahni, Lect. Notes Phys. 653, 141 (2004); astro-ph/0403324.ADSCrossRefGoogle Scholar
  20. 13.
    T. Padmanabhan, Gen. Rel. Grav. 40, 529 (2008); arXiv:0705.2533ADSCrossRefGoogle Scholar
  21. 13a.
    T. Padmanabhan, Phys. Rev. D 66, 021301 (2002); hep-th/0204150.ADSCrossRefGoogle Scholar
  22. 14.
    R. Caldwell, Phys. Lett. B. 545, 23 (2002)’; astroph/9908168ADSCrossRefGoogle Scholar
  23. 14a.
    S. Nojiri and S. D. Odintsov, Phys. Lett. B 562, 147 (2003); hep-th/0303117]ADSCrossRefGoogle Scholar
  24. 14b.
    S. Nojiri and S. D. Odintsov, Phys. Lett. B565, 1 (2003); hepth/0304131.ADSGoogle Scholar
  25. 15.
    S. Nojiri and S. D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007); hep-th/0601213MathSciNetCrossRefGoogle Scholar
  26. 15a.
    T. P. Sotiriou and V. Faraoni, Rev.Mod. Phys. 82, 451 (2010)ADSCrossRefGoogle Scholar
  27. 15b.
    A. De Felice and S. Tsujikawa, Living Rev. Rel. 82, 451 (2010).Google Scholar
  28. 16.
    L. Sebastiani and S. Zerbini, Eur. Phys. J. C 71, 1591 (2011).ADSCrossRefGoogle Scholar
  29. 17.
    S. H. Mazharimousavi et al., Eur. Phys. J. C 72, 1851 (2012).ADSCrossRefGoogle Scholar
  30. 18.
    S. Chakraborty and S. SenGupta, Eur. Phys. J. C 75, 11 (2015).ADSCrossRefGoogle Scholar
  31. 19.
    S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011); arXiv:1011.0544ADSMathSciNetCrossRefGoogle Scholar
  32. 19a.
    S. Nojiri and S. D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007); arXiv: hep-th/0601213.CrossRefGoogle Scholar
  33. 20.
    R. Myrzakulov, L. Sebastiani, and S. Vagnozzi, Eur. Phys. J. C 75, 444 (2015); arXiv:1504.07984.ADSCrossRefGoogle Scholar
  34. 21.
    L. Sebastiani and R. Myrzakulov, Int. J. Geom. Meth. Mod. Phys. 12, 1530003 (2015); arXiv: 1506.05330.CrossRefGoogle Scholar
  35. 22.
    T. Harko, F. S. N. Lobo, S. Nojiri, and S. D. Odintsov, Phys. Rev. D 84, 024020 (2011).ADSCrossRefGoogle Scholar
  36. 23.
    R. Chaubey and A. K. Shukla, Astrophys. Space Sci. 343, 415 (2013).ADSCrossRefGoogle Scholar
  37. 24.
    K. S. Adhav, Astrophys. Space Sci. 339, 365 (2012).ADSCrossRefGoogle Scholar
  38. 25.
    G. C. Samanta, Int. J. Theor. Phys. 52, 2303 (2013).CrossRefGoogle Scholar
  39. 26.
    D. R. K. Reddy, R. Santikumar, and R. L. Naidu, Astrophys. Space Sci. 342, 249 (2012).ADSCrossRefGoogle Scholar
  40. 27.
    D. R. K. Reddy, R. L. Naidu, and B. Satyanarayana, Int. J. Theor. Phys. 51, 3222 (2012).CrossRefGoogle Scholar
  41. 28.
    D. R. K. Reddy, R. S. Kumar, and T. V. P. Kumar, Int. J. Theor. Phys. 52, 239 (2013).CrossRefGoogle Scholar
  42. 29.
    C. P. Singh and V. Singh, Gen. Rel. Grav. 46, 1696 (2014).ADSCrossRefGoogle Scholar
  43. 30.
    V. U. M. Rao, K.V. S. Sireesha, and D. C. P. Rao, Eur. Phys. J. Plus 129, 17 (2014).CrossRefGoogle Scholar
  44. 31.
    N. K. Sharma and J. K. Singh, Int. J. Theor. Phys. 53, 2912 (2014).CrossRefGoogle Scholar
  45. 32.
    J. K. Singh and N. K. Sharma, Int. J. Theor. Phys. 53, 1424 (2014).CrossRefGoogle Scholar
  46. 33.
    S. Chandel and S. Ram, Indian J. Phys. 87, 1283 (2013).ADSCrossRefGoogle Scholar
  47. 34.
    P. K. Sahoo, B. Mishra and G. C. Reddy, Eur. Phys. J. Plus 129, 49 (2014).CrossRefGoogle Scholar
  48. 35.
    N. Ahmed and A. Pradhan, Int. J. Theor. Phys. 53, 289 (2014).CrossRefGoogle Scholar
  49. 36.
    A. Pradhan, N. Ahmed, and B. Saha, Can. J. Phys. 93, 654 (2015).ADSCrossRefGoogle Scholar
  50. 37.
    R. K. Mishra, A. Chand, and A. Pradhan, Int. J. Theor. Phys. 55, 1241 (2016).CrossRefGoogle Scholar
  51. 38.
    A. Sepehri, A. Pradhan, and S. Shoorvazi, Astrophys. Space Sci. 361, 58 (2016).ADSCrossRefGoogle Scholar
  52. 39.
    P. H. R. S. Moraes, Astroph. Space Sci. 352, 273 (2014).ADSCrossRefGoogle Scholar
  53. 40.
    P. H. R. S. Moraes, Eur. Phys. J. C 75, 168 (2015); arXiv:1502.02593.ADSMathSciNetCrossRefGoogle Scholar
  54. 41.
    M. Sharif and M. Zubair, J. Cosm. Astropart. Phys. 03, 028 (2012).ADSCrossRefGoogle Scholar
  55. 42.
    P. H. R. S. Moraes, G. Ribeiro, and R. A. C. Correa, Astroph. Space Sci. 361, 227 (2016).ADSCrossRefGoogle Scholar
  56. 43.
    A. A. Starobinsky, JETP 86, 157 (2007).CrossRefGoogle Scholar
  57. 44.
    H. Shabani and M. Farhoudi, Phys. Rev. D 90, 044031 (2014); arXiv: 1407.6187.ADSCrossRefGoogle Scholar
  58. 45.
    Xue-Mei Deng and Yi Xie, Int. J. Theor. Phys. 54, 1739 (2015).CrossRefGoogle Scholar
  59. 46.
    L. Iorio, JCAP 5, 019 (2011).ADSMathSciNetCrossRefGoogle Scholar
  60. 47.
    A. Fienga, J. Laskar, P. Kuchynka, H. Manche, G. Desvignes, M. Gastineau, I. Cognard, and G. Theureau, Celest. Mech. Dyn. Astron. 111, 363 (2011).ADSCrossRefGoogle Scholar
  61. 48.
    M. Houndjo, Int. J. Mod. Phys. D 21, 1250003 (2012); arXiv: 1107.3887.ADSMathSciNetCrossRefGoogle Scholar
  62. 49.
    A. Vilenkin and E. P. S. Shellard, Cosmic String and Other Topological Defects (Cambridge University Press, Cambridge 1994)MATHGoogle Scholar
  63. 49a.
    A. Vilenkin, Phys. Rep. 121, 263 (1985); Phys. Rev. D 23, 852 (1981).ADSMathSciNetCrossRefGoogle Scholar
  64. 50.
    R. Basu, A. Guth, and A. Vilenkin, Preprint TUTP-91-3 (1991).Google Scholar
  65. 51.
    G. Börner, The Early Universe (Springer, Berlin, 1988).MATHGoogle Scholar
  66. 52.
    Y. Cho and P. Freund, Phys. Rev. D 12, 1588 (1975).ADSMathSciNetCrossRefGoogle Scholar
  67. 53.
    A. D. Linde, Phys. Lett. B 70, 306 (1977)ADSCrossRefGoogle Scholar
  68. 53a.
    A. D. Linde, Nucl. Phys. B 216, 421 (1988).ADSCrossRefGoogle Scholar
  69. 54.
    Ya. B. Zel’dovich, I. Yu. Kobzarev, and L. B. Okun, Zh. Eksp. Teor. Fiz. 67, 3 (2974); Sov. Phys. JETP 40, 1 (1975).Google Scholar
  70. 55.
    T. W. B. Kibble, J. Phys. A 9, 1387 (1976)ADSCrossRefGoogle Scholar
  71. 55a.
    T. W. B. Kibble, Phys. Rep. 67, 183 (1980).ADSMathSciNetCrossRefGoogle Scholar
  72. 56.
    L. M. Widrow, Phys. Rev. D 39, 3571 (1989).ADSCrossRefGoogle Scholar
  73. 57.
    K. S. Adhav, V. B. Raut, and M. V. Dawande, Int. J. Theor. Phys. 48, 1010 (2009).Google Scholar
  74. 58.
    S. D. Katore, K. S. Adhav, A. Y. Shaikh, and N. K. Sarkate, Int. J. Theor. Phys. 49, 2358 (2010)CrossRefGoogle Scholar
  75. 58a.
    S.D. Katore, S. P. Hatkar, and R. J. Baxi, Chinese J. Phys. 54, 563 (2016)ADSMathSciNetCrossRefGoogle Scholar
  76. 58b.
    S. D. Katore and S. P. Hatkar, Prog. Theor. Exp. Phys. 2016, 033E01 (2016).CrossRefGoogle Scholar
  77. 59.
    K. L. Mahanta and A. K. Biswal, J. Mod. Phys. 3, 1479 (2012)CrossRefGoogle Scholar
  78. 59a.
    P. K. Sahoo and B. Mishra, J. Theor. Applied Phys. 7, 62 (2013).ADSCrossRefGoogle Scholar
  79. 60.
    A. Chodos and S. Detweiler, Phys. Rev. D 21, 2167 (1980).ADSCrossRefGoogle Scholar
  80. 61.
    T. Kaluza, Sitzungsber. Preuss Akad. Wiss. Berlin Math. Phys. 1, 966 (1921).Google Scholar
  81. 62.
    O. Klein, Z. Phys. 37, 895 (1926).ADSCrossRefGoogle Scholar
  82. 63.
    S. Weinberg, Physics in Higher Dimensions (World Scientific, Singapore, 1986).Google Scholar
  83. 64.
    S. Weinberg, String and Superstrings (World Scientific, Singapore, 1986).Google Scholar
  84. 65.
    D. Bailin and A. Love, Rep. Prog. Phys. 50, 1087 (1987).ADSCrossRefGoogle Scholar
  85. 66.
    T. Kaluza, Sitz. Preuss. Akad. Wiss. Phys.Math. K1, 966 (1921).Google Scholar
  86. 67.
    O. Klein, Z. Phys. 37, 895 (1926).ADSCrossRefGoogle Scholar
  87. 68.
    G. Nordstrom, Phys. Z. 15, 504 (1914).Google Scholar
  88. 69.
    J. M. Overduin and P. S. Wesson, Phys.Rep. 283, 303 (1997).ADSMathSciNetCrossRefGoogle Scholar
  89. 70.
    J. Polchinski, String Theory (Cambridge University Press, Cambridge, UK, 1998)MATHCrossRefGoogle Scholar
  90. 71.
    A. Salam and E. Sezgin, Supergravity in Diverse Dimensions (North-Holland, Amsterdam, 1989).CrossRefGoogle Scholar
  91. 72.
    P. K. Sahoo, B. Mishra, and S. K. Tripathy, Ind. J. Phys. 94, 485 (2016); arXiv: 1411.4735.CrossRefGoogle Scholar
  92. 73.
    A. K. Biswal, K. L. Mahanta, and P. K. Sahoo, Astroph. Space Sci. 359, 42 (2015).ADSCrossRefGoogle Scholar
  93. 74.
    T. Harko and F. S. N. Lobo, Eur. Phys. J. C 70, 373 (2010).ADSCrossRefGoogle Scholar
  94. 75.
    P. Astier et al., Astron. Astrophys. 447, 31 (2006).ADSCrossRefGoogle Scholar
  95. 76.
    T.M. Davis et al., Astrophys. J. 598, 102 (2003).ADSCrossRefGoogle Scholar
  96. 77.
    A. G. Riess, et al., Astrophys. J. 560, 49 (2001).ADSCrossRefGoogle Scholar
  97. 78.
    T. Padmanabhan and T. Roychoudhury, Mon. Not. R. Astron. Soc. 344, 823 (2003).ADSCrossRefGoogle Scholar
  98. 79.
    L. Amendola, Mon. Not. R. Astron. Soc. 342, 221 (2003).ADSCrossRefGoogle Scholar
  99. 80.
    A. Pradhan, Indian J. Phys. 88, 215 (2014); arXiv: 1211.1882.ADSCrossRefGoogle Scholar
  100. 81.
    H. Amirhashchi, A. Pradhan, and H. Zainuddin, Int. J. Theor. Phys. 50, 3529 (2011).CrossRefGoogle Scholar
  101. 82.
    A. Pradhan, R. Jaiswal, K. Jotania, and R. K. Khare, Astroph. Space Sci. 337, 401 (2012).ADSCrossRefGoogle Scholar
  102. 83.
    M. A. H. MacCallum, Commun. Math. Phys. 18, 2116 (1971).Google Scholar
  103. 84.
    A. Pradhan, R. Jaiswal, and R. K. Khare, Astrophys. Space Sci. 343, 489 (2013).ADSCrossRefGoogle Scholar
  104. 85.
    R. R. Volkas, Int. J. Mod. Phys. Conf. Series 1, 10–17 (2011).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  • Rishi Kumar Tiwari
    • 1
  • A. Beesham
    • 2
  • Anirudh Pradhan
    • 3
  1. 1.Department of MathematicsGovernment Model Science CollegeRewaIndia
  2. 2.Department of Mathematical SciencesUniversity of ZululandKwa-DlangezwaSouth Africa
  3. 3.Department of MathematicsInstitute of Applied Sciences and Humanities, G L A UniversityMathuraIndia

Personalised recommendations