Advertisement

Exact solution of a tachyon oscillating cosmology with a supergravity tracking potential

  • Rami Ahmad El-Nabulsi
Regular Article

Abstract

In this communication, we investigate the late-time dynamics of a tachyon cosmological model in the presence of a supergravity tracking potential. By assuming a particular relation between the Hubble parameter, the tachyon scalar field and its time derivative, an exact solution of the model is constructed. It was observed that the universe is oscillating with time and dominated by an oscillating tachyon field. Special properties and features were derived accordingly.

Keywords

Black Hole Dark Energy Cosmological Model Hubble Parameter Baryonic Matter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    R.A. Knop et al., Astrophys. J. 598, 102 (2003)ADSCrossRefGoogle Scholar
  2. 2.
    A.G. Riess et al., Astrophys. J. 607, 665 (2004)ADSCrossRefGoogle Scholar
  3. 3.
    W.M. Wood-Vasey et al., Astrophys. J. 666, 694 (2007)ADSCrossRefGoogle Scholar
  4. 4.
    T.M. Davis et al., Astrophys. J. 666, 716 (2007)ADSCrossRefGoogle Scholar
  5. 5.
    E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006)MathSciNetADSCrossRefzbMATHGoogle Scholar
  6. 6.
    K. Bamba, Astrophys. Space Sci. 342, 155 (2012)ADSCrossRefGoogle Scholar
  7. 7.
    G.W. Gibbons, Phys. Lett. B 537, 1 (2002)MathSciNetADSCrossRefzbMATHGoogle Scholar
  8. 8.
    A. Sen, JHEP 08, 010 (1998)ADSCrossRefGoogle Scholar
  9. 9.
    A. Sen, JHEP 08, 012 (1998)ADSCrossRefGoogle Scholar
  10. 10.
    A. Sen, JHEP 04, 048 (2002)ADSCrossRefGoogle Scholar
  11. 11.
    A. Sen, Mod. Phys. Lett. A 17, 1797 (2002)ADSCrossRefzbMATHGoogle Scholar
  12. 12.
    B. Zwiebach, Ann. Phys. (N.Y.) 267, 193 (1998)MathSciNetADSCrossRefzbMATHGoogle Scholar
  13. 13.
    H.B. Benaoum, Adv. High Energy Phys. 2012, 357802 (2012)MathSciNetGoogle Scholar
  14. 14.
    L.P. Chimento, Phys. Rev. D 69, 123517 (2004)MathSciNetADSCrossRefGoogle Scholar
  15. 15.
    R. Rangdee, B. Gumjudpai, arXiv:1210.5550
  16. 16.
    A. Frolov, L. Kofman, A. Starobinsky, Phys. Lett. B 545, 8 (2002)ADSCrossRefzbMATHGoogle Scholar
  17. 17.
    C. Kim, H.B. Kim, Y. Kim, O.-K. Kwon, C.O. Lee, J. Korean Phys. Soc. 45, S181 (2004)Google Scholar
  18. 18.
    V.K. Shchigolev, M.P. Rotova, Grav. Cosmol. 18, 88 (2012)ADSCrossRefzbMATHGoogle Scholar
  19. 19.
    P. Brax, J. Martin, Ann. Phys. (leipzig) 11, 507 (2000)Google Scholar
  20. 20.
    P. Brax, J. Martin, Phys. Lett. B 468, 40 (1999)MathSciNetADSCrossRefzbMATHGoogle Scholar
  21. 21.
    M.R. Setare, J. Sadeghi, A.R. Amani, Phys. Lett. B 673, 241 (2009)ADSCrossRefGoogle Scholar
  22. 22.
    M.R. Setare, JCAP 01, 023 (2007)MathSciNetADSCrossRefGoogle Scholar
  23. 23.
    M.R. Setare, E.C. Vagenas, Int. J. Mod. Phys. D 18, 147 (2009)ADSCrossRefzbMATHGoogle Scholar
  24. 24.
    R. Herrera, D. Pavon, W. Zimdahl, Gen. Relativ. Gravit. 36, 2161 (2004)MathSciNetADSCrossRefzbMATHGoogle Scholar
  25. 25.
    J.G. Russo, Phys. Lett. B 600, 185 (2004)MathSciNetADSCrossRefzbMATHGoogle Scholar
  26. 26.
    F.C. Carvalho, J.S. Alcaniz, J.A.S. Lima, R. Silva, Phys. Rev. Lett. 97, 081301 (2006)ADSCrossRefGoogle Scholar
  27. 27.
    W. Cui, Y. Zhang, Z. Fu, arXiv:1303.2315
  28. 28.
    S. Capozziello, V.F. Cardone, E. Piedipalumbo, C. Rubano, Class. Quantum Grav. 23, 1205 (2006)MathSciNetADSCrossRefzbMATHGoogle Scholar
  29. 29.
    B. Bozek, A. Abrahamse, A. Albrecht, M. Barnard, Phys. Rev. D 77, 103504 (2008)ADSCrossRefGoogle Scholar
  30. 30.
    E. Piedipalumbo, P. Scudellaro, G. Esposito, C. Rubano, Gen. Relativ. Gravit. 44, 2611 (2012)MathSciNetADSCrossRefzbMATHGoogle Scholar
  31. 31.
    C. Rubano, P. Scudellaro, Gen. Relativ. Gravit. 34, 307 (2002)MathSciNetCrossRefzbMATHGoogle Scholar
  32. 32.
    Z.-K. Guo, Y.-S. Piao, Y.-Z. Zhang, Phys. Lett. B 568, 1 (2003)MathSciNetADSCrossRefzbMATHGoogle Scholar
  33. 33.
    L.P. Chimento, Class. Quantum Grav. 15, 965 (1998)MathSciNetADSCrossRefzbMATHGoogle Scholar
  34. 34.
    J.M. Aguirregabiria, L.P. Chimento, Class. Quantum Grav. 13, 3197 (1996)MathSciNetADSCrossRefzbMATHGoogle Scholar
  35. 35.
    L.P. Chimento, A.E. Cossarini, N.A. Zuccala, Class. Quantum Grav. 15, 57 (1998)MathSciNetADSCrossRefzbMATHGoogle Scholar
  36. 36.
    L.P. Chimento, N.A. Zuccala, V. Mendez, Class. Quantum Grav. 16, 3749 (1999)MathSciNetADSCrossRefzbMATHGoogle Scholar
  37. 37.
    O. Arias, T. Gonzalez, I. Quiros, gr-qc/0210097Google Scholar
  38. 38.
    R.A. El-Nabulsi, Res. Astron. Astrophys. 11, 1249 (2011)ADSCrossRefGoogle Scholar
  39. 39.
    R.A. El-Nabulsi, Astrophys. Space Sci. 327, 173 (2010)ADSCrossRefGoogle Scholar
  40. 40.
    R.A. El-Nabulsi, Can. J. Phys. 91, 300 (2013)ADSCrossRefGoogle Scholar
  41. 41.
    W.F. Wang, Commun. Theor. Phys. 36, 509 (2001)zbMATHGoogle Scholar
  42. 42.
    W.F. Wang, Commun. Theor. Phys. 36, 122 (2001)Google Scholar
  43. 43.
    H.G. Kim, arXiv:1211.0604
  44. 44.
    H. Lu, C.N. Pope, S. Sezgin, K.S. Stelle, Nucl. Phys. B 456, 669 (1995)MathSciNetADSCrossRefGoogle Scholar
  45. 45.
    H. Lu, C.N. Pope, P.K. Townsend, Phys. Lett. B 391, 39 (1997)MathSciNetADSCrossRefGoogle Scholar
  46. 46.
    C.P. Burgess, C. Núnez, F. Quevedo, I. Zavala, G. Tasinato, JHEP 08, 056 (2008)ADSGoogle Scholar
  47. 47.
    A. Kehagias, Phys. Lett. B 469, 123 (1999)ADSCrossRefGoogle Scholar
  48. 48.
    P. Brax, J. Martin, Phys. Rev. D 71, 063530 (2005)MathSciNetADSCrossRefGoogle Scholar
  49. 49.
    P. Brax, J. Martin, Phys. Rev. D 72, 023518 (2005)MathSciNetADSCrossRefGoogle Scholar
  50. 50.
    P. Brax, J. Martin, A. Riazuelo, Phys. Rev. D 64, 083505 (2001)ADSCrossRefGoogle Scholar
  51. 51.
    J. Lee, Astrophys. J. 751, 153 (2012)ADSCrossRefGoogle Scholar
  52. 52.
    J. Khoury, B.A. Ovrut, P.J. Steinhardt, N. Turok, Phys. Rev. D 64, 123522 (2001)MathSciNetADSCrossRefGoogle Scholar
  53. 53.
    P.J. Steinhardt, N. Turok, Science 296, 1436 (2002)MathSciNetADSCrossRefzbMATHGoogle Scholar
  54. 54.
    P.J. Steinhardt, N. Turok, Phys. Rev. D 65, 126003 (2002)MathSciNetADSCrossRefGoogle Scholar
  55. 55.
    L.A. Boyle, P.J. Steinhardt, N. Turok, Phys. Rev. D 70, 023504 (2004)MathSciNetADSCrossRefGoogle Scholar
  56. 56.
    Y.-F. Cai, E.N. Saridakis, J. Cosmol. 17, 7238 (2011)Google Scholar
  57. 57.
    K. Bamba, U. Debnath, K. Yesmakhanova, P. Tsyba, G. Nugmanova, R. Myrzakulov, Entropy 14, 2351 (2012)MathSciNetCrossRefGoogle Scholar
  58. 58.
    O. Gorbunova, D. Saez-Gomez, Open Astron. J. 3, 73 (2010)ADSCrossRefGoogle Scholar
  59. 59.
    P.J. Steinhardt, N. Turok, Science 312, 1180 (2006)MathSciNetADSCrossRefzbMATHGoogle Scholar
  60. 60.
    R.R. Caldwell, Phys. Lett. B 545, 23 (2002)ADSCrossRefGoogle Scholar
  61. 61.
    R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003)ADSCrossRefGoogle Scholar
  62. 62.
    P.F. Gonzalez-Diaz, Phys. Rev. D 68, 021303 (2003)MathSciNetADSCrossRefGoogle Scholar
  63. 63.
    V. Sahni, Y. Shtanov, JCAP 11, 014 (2003)MathSciNetADSCrossRefGoogle Scholar
  64. 64.
    L.P. Chimento, R. Lazkoz, Phys. Rev. Lett. 91, 211301 (2003)ADSCrossRefGoogle Scholar
  65. 65.
    L.P. Chimento, R. Lazkoz, Mod. Phys. Lett. A 19, 2479 (2004)MathSciNetADSCrossRefzbMATHGoogle Scholar
  66. 66.
    J. Haro, Gen. Relativ. Gravit. 44, 2215 (2012)MathSciNetADSCrossRefzbMATHGoogle Scholar
  67. 67.
    S. Cotsakis, Int. J. Mod. Phys. D 23, 1330003 (2013)CrossRefMathSciNetGoogle Scholar
  68. 68.
    M. Morikawa, In: After the first three minutesGoogle Scholar
  69. 69.
    M.S. Turner, M. White, Phys. Rev. D 56, R4439 (1997)ADSCrossRefGoogle Scholar
  70. 70.
    A.R. Liddle, R.J. Scherer, Phys. Rev. D 59, 023509 (1999)ADSCrossRefGoogle Scholar
  71. 71.
    O. Akarsu, C.B. Kilinc, Gen. Relativ. Gravit. 42, 763 (2010)MathSciNetADSCrossRefzbMATHGoogle Scholar
  72. 72.
    S. Ray, F. Rahaman, U. Mukhopadhyay, R. Sarkar, Int. J. Theor. Phys. 50, 2687 (2011)CrossRefzbMATHGoogle Scholar
  73. 73.
    A. Ali, M. Sami, A.A. Sen, Phys. Rev. D 79, 123501 (2009)ADSCrossRefGoogle Scholar
  74. 74.
    P.P. Avelino, L. Losano, J.J. Rodrigues, Phys. Lett. B 699, 10 (2011)ADSCrossRefGoogle Scholar
  75. 75.
    A. Linde, JHEP 11, 052 (2001)MathSciNetADSCrossRefGoogle Scholar
  76. 76.
    R. Kallosh, L. Kofman, A.D. Linde, Phys. Rev. D 64, 123523 (2001)MathSciNetADSCrossRefGoogle Scholar
  77. 77.
    F. Finelli, R. Brandenberger, Phys. Rev. D 65, 103522 (2002)ADSCrossRefGoogle Scholar
  78. 78.
    I.P.C. Heard, D. Wands, Class. Quantum Grav. 19, 5435 (2002)MathSciNetADSCrossRefzbMATHGoogle Scholar
  79. 79.
    R.A. El-Nabulsi, Fiz. B 19, 169 (2010)Google Scholar
  80. 80.
    A. de le Macorra, G. German, Int. J. Mod. Phys. D 13, 1939 (2004)ADSCrossRefGoogle Scholar
  81. 81.
    A. Ashtekar, T. Pawlowski, P. Singh, Phys. Rev. D 73, 124038 (2006)MathSciNetADSCrossRefGoogle Scholar
  82. 82.
    A. Ashtekar, T. Pawlowski, P. Singh, Phys. Rev. D 74, 084003 (2006)MathSciNetADSCrossRefGoogle Scholar
  83. 83.
    A. Ashtekar, AIP Conf. Proc. 861, 3 (2006)ADSCrossRefGoogle Scholar
  84. 84.
    P. Singh, K. Vandersloot, G.V. Vereshchagin, Phys. Rev. D 74, 043510 (2006)ADSCrossRefGoogle Scholar
  85. 85.
    Y. Shtanov, V. Sahni, Phys. Lett. B 557, 1 (2003)ADSCrossRefzbMATHGoogle Scholar
  86. 86.
    M.G. Brown, K. Freese, W.H. Kinney, JCAP 03, 002 (2008)ADSCrossRefGoogle Scholar
  87. 87.
    E. Babichev, V. Dokuchaev, Yu. Eroshenko, Phys. Rev. Lett. 93, 021102 (2004)ADSCrossRefGoogle Scholar
  88. 88.
    T.X. Zhang, Eur. Phys. J. C 60, 661 (2009)ADSCrossRefGoogle Scholar
  89. 89.
    C.-Y. Sun, Phys. Rev. D 78, 064060 (2008)ADSCrossRefGoogle Scholar
  90. 90.
    T.X. Zhang, Prog. Phys. 2, 6 (2012)Google Scholar
  91. 91.
    C. Pepe, L.J. Pellizza, G.E. Romero, Mon. Not. R. Astron. Soc. 420, 3298 (2012)ADSCrossRefGoogle Scholar
  92. 92.
    P.F. Gonzalez-Diaz, Phys. Rev. D 70, 063530 (2004)MathSciNetADSCrossRefGoogle Scholar
  93. 93.
    M. Jamil, Eur. Phys. J. C 62, 609 (2009)MathSciNetADSCrossRefzbMATHGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Rami Ahmad El-Nabulsi
    • 1
  1. 1.College of Mathematics and Information ScienceNeijiang Normal UniversityNeijiangChina

Personalised recommendations