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

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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.

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References

  1. R.A. Knop et al., Astrophys. J. 598, 102 (2003)

    Article  ADS  Google Scholar 

  2. A.G. Riess et al., Astrophys. J. 607, 665 (2004)

    Article  ADS  Google Scholar 

  3. W.M. Wood-Vasey et al., Astrophys. J. 666, 694 (2007)

    Article  ADS  Google Scholar 

  4. T.M. Davis et al., Astrophys. J. 666, 716 (2007)

    Article  ADS  Google Scholar 

  5. E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. K. Bamba, Astrophys. Space Sci. 342, 155 (2012)

    Article  ADS  Google Scholar 

  7. G.W. Gibbons, Phys. Lett. B 537, 1 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. A. Sen, JHEP 08, 010 (1998)

    Article  ADS  Google Scholar 

  9. A. Sen, JHEP 08, 012 (1998)

    Article  ADS  Google Scholar 

  10. A. Sen, JHEP 04, 048 (2002)

    Article  ADS  Google Scholar 

  11. A. Sen, Mod. Phys. Lett. A 17, 1797 (2002)

    Article  ADS  MATH  Google Scholar 

  12. B. Zwiebach, Ann. Phys. (N.Y.) 267, 193 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. H.B. Benaoum, Adv. High Energy Phys. 2012, 357802 (2012)

    MathSciNet  Google Scholar 

  14. L.P. Chimento, Phys. Rev. D 69, 123517 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  15. R. Rangdee, B. Gumjudpai, arXiv:1210.5550

  16. A. Frolov, L. Kofman, A. Starobinsky, Phys. Lett. B 545, 8 (2002)

    Article  ADS  MATH  Google Scholar 

  17. C. Kim, H.B. Kim, Y. Kim, O.-K. Kwon, C.O. Lee, J. Korean Phys. Soc. 45, S181 (2004)

    Google Scholar 

  18. V.K. Shchigolev, M.P. Rotova, Grav. Cosmol. 18, 88 (2012)

    Article  ADS  MATH  Google Scholar 

  19. P. Brax, J. Martin, Ann. Phys. (leipzig) 11, 507 (2000)

    Google Scholar 

  20. P. Brax, J. Martin, Phys. Lett. B 468, 40 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. M.R. Setare, J. Sadeghi, A.R. Amani, Phys. Lett. B 673, 241 (2009)

    Article  ADS  Google Scholar 

  22. M.R. Setare, JCAP 01, 023 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  23. M.R. Setare, E.C. Vagenas, Int. J. Mod. Phys. D 18, 147 (2009)

    Article  ADS  MATH  Google Scholar 

  24. R. Herrera, D. Pavon, W. Zimdahl, Gen. Relativ. Gravit. 36, 2161 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. J.G. Russo, Phys. Lett. B 600, 185 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. F.C. Carvalho, J.S. Alcaniz, J.A.S. Lima, R. Silva, Phys. Rev. Lett. 97, 081301 (2006)

    Article  ADS  Google Scholar 

  27. W. Cui, Y. Zhang, Z. Fu, arXiv:1303.2315

  28. S. Capozziello, V.F. Cardone, E. Piedipalumbo, C. Rubano, Class. Quantum Grav. 23, 1205 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. B. Bozek, A. Abrahamse, A. Albrecht, M. Barnard, Phys. Rev. D 77, 103504 (2008)

    Article  ADS  Google Scholar 

  30. E. Piedipalumbo, P. Scudellaro, G. Esposito, C. Rubano, Gen. Relativ. Gravit. 44, 2611 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. C. Rubano, P. Scudellaro, Gen. Relativ. Gravit. 34, 307 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  32. Z.-K. Guo, Y.-S. Piao, Y.-Z. Zhang, Phys. Lett. B 568, 1 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. L.P. Chimento, Class. Quantum Grav. 15, 965 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. J.M. Aguirregabiria, L.P. Chimento, Class. Quantum Grav. 13, 3197 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. L.P. Chimento, A.E. Cossarini, N.A. Zuccala, Class. Quantum Grav. 15, 57 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. L.P. Chimento, N.A. Zuccala, V. Mendez, Class. Quantum Grav. 16, 3749 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. O. Arias, T. Gonzalez, I. Quiros, gr-qc/0210097

  38. R.A. El-Nabulsi, Res. Astron. Astrophys. 11, 1249 (2011)

    Article  ADS  Google Scholar 

  39. R.A. El-Nabulsi, Astrophys. Space Sci. 327, 173 (2010)

    Article  ADS  Google Scholar 

  40. R.A. El-Nabulsi, Can. J. Phys. 91, 300 (2013)

    Article  ADS  Google Scholar 

  41. W.F. Wang, Commun. Theor. Phys. 36, 509 (2001)

    MATH  Google Scholar 

  42. W.F. Wang, Commun. Theor. Phys. 36, 122 (2001)

    Google Scholar 

  43. H.G. Kim, arXiv:1211.0604

  44. H. Lu, C.N. Pope, S. Sezgin, K.S. Stelle, Nucl. Phys. B 456, 669 (1995)

    Article  MathSciNet  ADS  Google Scholar 

  45. H. Lu, C.N. Pope, P.K. Townsend, Phys. Lett. B 391, 39 (1997)

    Article  MathSciNet  ADS  Google Scholar 

  46. C.P. Burgess, C. Núnez, F. Quevedo, I. Zavala, G. Tasinato, JHEP 08, 056 (2008)

    ADS  Google Scholar 

  47. A. Kehagias, Phys. Lett. B 469, 123 (1999)

    Article  ADS  Google Scholar 

  48. P. Brax, J. Martin, Phys. Rev. D 71, 063530 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  49. P. Brax, J. Martin, Phys. Rev. D 72, 023518 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  50. P. Brax, J. Martin, A. Riazuelo, Phys. Rev. D 64, 083505 (2001)

    Article  ADS  Google Scholar 

  51. J. Lee, Astrophys. J. 751, 153 (2012)

    Article  ADS  Google Scholar 

  52. J. Khoury, B.A. Ovrut, P.J. Steinhardt, N. Turok, Phys. Rev. D 64, 123522 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  53. P.J. Steinhardt, N. Turok, Science 296, 1436 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. P.J. Steinhardt, N. Turok, Phys. Rev. D 65, 126003 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  55. L.A. Boyle, P.J. Steinhardt, N. Turok, Phys. Rev. D 70, 023504 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  56. Y.-F. Cai, E.N. Saridakis, J. Cosmol. 17, 7238 (2011)

    Google Scholar 

  57. K. Bamba, U. Debnath, K. Yesmakhanova, P. Tsyba, G. Nugmanova, R. Myrzakulov, Entropy 14, 2351 (2012)

    Article  MathSciNet  Google Scholar 

  58. O. Gorbunova, D. Saez-Gomez, Open Astron. J. 3, 73 (2010)

    Article  ADS  Google Scholar 

  59. P.J. Steinhardt, N. Turok, Science 312, 1180 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  60. R.R. Caldwell, Phys. Lett. B 545, 23 (2002)

    Article  ADS  Google Scholar 

  61. R.R. Caldwell, M. Kamionkowski, N.N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003)

    Article  ADS  Google Scholar 

  62. P.F. Gonzalez-Diaz, Phys. Rev. D 68, 021303 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  63. V. Sahni, Y. Shtanov, JCAP 11, 014 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  64. L.P. Chimento, R. Lazkoz, Phys. Rev. Lett. 91, 211301 (2003)

    Article  ADS  Google Scholar 

  65. L.P. Chimento, R. Lazkoz, Mod. Phys. Lett. A 19, 2479 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  66. J. Haro, Gen. Relativ. Gravit. 44, 2215 (2012)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  67. S. Cotsakis, Int. J. Mod. Phys. D 23, 1330003 (2013)

    Article  MathSciNet  Google Scholar 

  68. M. Morikawa, In: After the first three minutes

  69. M.S. Turner, M. White, Phys. Rev. D 56, R4439 (1997)

    Article  ADS  Google Scholar 

  70. A.R. Liddle, R.J. Scherer, Phys. Rev. D 59, 023509 (1999)

    Article  ADS  Google Scholar 

  71. O. Akarsu, C.B. Kilinc, Gen. Relativ. Gravit. 42, 763 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  72. S. Ray, F. Rahaman, U. Mukhopadhyay, R. Sarkar, Int. J. Theor. Phys. 50, 2687 (2011)

    Article  MATH  Google Scholar 

  73. A. Ali, M. Sami, A.A. Sen, Phys. Rev. D 79, 123501 (2009)

    Article  ADS  Google Scholar 

  74. P.P. Avelino, L. Losano, J.J. Rodrigues, Phys. Lett. B 699, 10 (2011)

    Article  ADS  Google Scholar 

  75. A. Linde, JHEP 11, 052 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  76. R. Kallosh, L. Kofman, A.D. Linde, Phys. Rev. D 64, 123523 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  77. F. Finelli, R. Brandenberger, Phys. Rev. D 65, 103522 (2002)

    Article  ADS  Google Scholar 

  78. I.P.C. Heard, D. Wands, Class. Quantum Grav. 19, 5435 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  79. R.A. El-Nabulsi, Fiz. B 19, 169 (2010)

    Google Scholar 

  80. A. de le Macorra, G. German, Int. J. Mod. Phys. D 13, 1939 (2004)

    Article  ADS  Google Scholar 

  81. A. Ashtekar, T. Pawlowski, P. Singh, Phys. Rev. D 73, 124038 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  82. A. Ashtekar, T. Pawlowski, P. Singh, Phys. Rev. D 74, 084003 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  83. A. Ashtekar, AIP Conf. Proc. 861, 3 (2006)

    Article  ADS  Google Scholar 

  84. P. Singh, K. Vandersloot, G.V. Vereshchagin, Phys. Rev. D 74, 043510 (2006)

    Article  ADS  Google Scholar 

  85. Y. Shtanov, V. Sahni, Phys. Lett. B 557, 1 (2003)

    Article  ADS  MATH  Google Scholar 

  86. M.G. Brown, K. Freese, W.H. Kinney, JCAP 03, 002 (2008)

    Article  ADS  Google Scholar 

  87. E. Babichev, V. Dokuchaev, Yu. Eroshenko, Phys. Rev. Lett. 93, 021102 (2004)

    Article  ADS  Google Scholar 

  88. T.X. Zhang, Eur. Phys. J. C 60, 661 (2009)

    Article  ADS  Google Scholar 

  89. C.-Y. Sun, Phys. Rev. D 78, 064060 (2008)

    Article  ADS  Google Scholar 

  90. T.X. Zhang, Prog. Phys. 2, 6 (2012)

    Google Scholar 

  91. C. Pepe, L.J. Pellizza, G.E. Romero, Mon. Not. R. Astron. Soc. 420, 3298 (2012)

    Article  ADS  Google Scholar 

  92. P.F. Gonzalez-Diaz, Phys. Rev. D 70, 063530 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  93. M. Jamil, Eur. Phys. J. C 62, 609 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Ahmad El-Nabulsi, R. Exact solution of a tachyon oscillating cosmology with a supergravity tracking potential. Eur. Phys. J. Plus 128, 55 (2013). https://doi.org/10.1140/epjp/i2013-13055-7

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