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New Holographic Dark Energy in Chern-Simons Gravity and Cosmography

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Abstract

We have considered a five-dimensional action, which is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a Chern-Simons gravity action instead of the Einstein-Hilbert action and where the matter sector is given by the so-called perfect fluid with barotropic EoS and new holographic dark energy. We will study the dynamic formulation of Chern-Simons gravity, where the coupling constant is promoted to a scalar field with potential. We have studied the implications of replacing the Einstein-Hilbert action by the Chern-Simons action on the cosmological evolution for a 5D FRW metric. The deceleration parameter shows that our considered model cannot cross the phantom divide. Also the natures of the cosmography parameters are examined in Chern-Simons gravity.

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References

  1. Perlmutter, S.J. et al.: Nat. 391, 51 (1998)

    Article  ADS  Google Scholar 

  2. Perlmutter, S. et al.: SNCP Collsboration. Astrophys. J. 517, 565 (1999)

    Article  ADS  Google Scholar 

  3. Riess, A.G. et al.: Supernova Search Team Collaboration. Astron. J., 116 (1009)

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

    Article  ADS  Google Scholar 

  5. Miller, D. et al.: Astrophys. J. 524, L1 (1999)

    Article  ADS  Google Scholar 

  6. Bennet, C. et al.: Phys. Rev. Lett. 85, 2236 (2000)

    Article  ADS  Google Scholar 

  7. Spergel, D.N. et al.: Astrophys. J. Suppl. Ser. 170, 377 (2007)

    Article  ADS  Google Scholar 

  8. Adelman-McCarthy, J.K. et al.: Astrophys. J. Suppl. Ser. 175, 297 (2008)

    Article  ADS  Google Scholar 

  9. Eisenstein, D.J. et al.: SDSS Collaboration. Astrophys. J. 633, 560 (2005)

    Article  ADS  Google Scholar 

  10. Briddle, S. et al.: Sci 299, 1532 (2003)

    Article  ADS  Google Scholar 

  11. Spergel, D.N. et al.: Astrophys. J. Suppl. 148, 175 (2003)

    Article  ADS  Google Scholar 

  12. Spergel, D.N. et al.: Astrophys. J. Suppl. 170, 377 (2007)

    Article  ADS  Google Scholar 

  13. Peebles, P.J.E., Ratra, B.: Astrophys. J. 325, L17 (1988)

    Article  ADS  Google Scholar 

  14. Caldwell, R.R., Dave, R., Steinhardt, P.J.: Phys. Rev. Lett. 80, 1582 (1998)

    Article  ADS  Google Scholar 

  15. Armendariz - Picon, C., Mukhanov, V.F., Steinhardt, P.J.: Phys. Rev. Lett. 85, 4438 (2000)

    Article  ADS  Google Scholar 

  16. Gumjudpai, B., Ward, J.: Phys. Rev. D 80, 023528 (2009)

    Article  ADS  Google Scholar 

  17. Martin, J., Yamaguchi, M.: Phys. Rev. D 77, 123508 (2008)

    Article  ADS  Google Scholar 

  18. Wei, H., Cai, R.G., Zeng, D.F.: Class. Quantum Grav. 22, 3189 (2005)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  19. Sen, A.: JHEP 0207, 065 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. Arkani-Hamed, N., Cheng, H.C., Luty, M.A., Mukohyama, S.: JHEP 0405, 074 (2004)

    Article  MathSciNet  Google Scholar 

  22. Piazza, F., Tsujikawa, S.: JCAP 0407, 004 (2004)

    Article  ADS  Google Scholar 

  23. Feng, B., Wang, X.L., Zhang, X.M.: Phys. Lett. B 607, 35 (2005)

    Article  ADS  Google Scholar 

  24. Guo, Z.K., Piao, Y.S., Zhang, X.M., Zhang, Y.Z.: Phys. Lett. B 608, 177 (2005)

    Article  ADS  Google Scholar 

  25. Amendola, L.: Phys. Rev. D 62, 043511 (2000)

    Article  ADS  Google Scholar 

  26. Zhang, X.: Mod. Phys. Lett. A 20, 2575 (2005)

    Article  ADS  Google Scholar 

  27. Jamil, M., Rashid, M.A.: Eur. Phys. J. C60, 141–147 (2009)

    Article  ADS  Google Scholar 

  28. Jamil, M., Rashid, M.A.: Eur. Phys. J. C56, 429–434 (2008)

    Article  ADS  Google Scholar 

  29. Sahni, V., Shtanov, Y.: JCAP 0311, 014 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  30. Kamenshchik, A.Y., Moschella, U., Pasquier, V.: Phys. Lett. B 511, 265 (2001)

    Article  MATH  ADS  Google Scholar 

  31. Fischler, W., Susskind, L. arXiv:hep-th/9806039

  32. Tavakol, R., Ellis, G.: Phys. Lett. B 469, 33 (1999)

    Article  MathSciNet  Google Scholar 

  33. Setare, M.R.: Phys. Lett. B642, 1–4 (2006)

    MathSciNet  ADS  Google Scholar 

  34. Setare, M.R.: Phys. Lett. B642, 421–425 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  35. Setare, M.R.: Phys. Lett. B644, 99–103 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  36. Setare, M.R.: Eur. Phys. J. C50, 991–998 (2007)

    Article  ADS  Google Scholar 

  37. Setare, M.R., Zhang, J., Zhang, X.: JCAP 0703, 007 (2007)

    Article  ADS  Google Scholar 

  38. Sadjadi, H.M., Jamil, M.: Gen. Rel. Grav. 43, 1759–1775 (2011)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  39. Setare, M.R., Jamil, M.: Europhys. Lett. 92, 49003 (2010)

    Article  ADS  Google Scholar 

  40. Farooq, M.U., Jamil, M., Momeni, D., Myrzakulov, R.: Can. J. Phys. 91, 703–708 (2013)

    Article  ADS  Google Scholar 

  41. Karami, K., Jamil, M., Ghaffari, S., Fahimi, K., Myrzakulov, R.: Can. J. Phys. 91(10), 770–776 (2013)

    Article  Google Scholar 

  42. Pasqua, A., Jamil, M., Myrzakulov, R., Majeed, B.: Phys. Scr. 86, 045004 (2012)

    Article  ADS  Google Scholar 

  43. Karami, K., Khaledian, M.S., Jamil, M.: Phys. Scr. 83, 025901 (2011)

    Article  ADS  Google Scholar 

  44. Sheykhi, A., Jamil, M.: Gen. Rel. Grav. 43, 2661–2672 (2011)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  45. Setare, M.R., Jamil, M.: Gen. Relativ. Gravit. 43, 293–303 (2011)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  46. Setare, M.R., Jamil, M.: Phys. Lett. B690, 1–4 (2010)

    Article  ADS  Google Scholar 

  47. Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Lett. B679, 172–176 (2009)

    Article  ADS  Google Scholar 

  48. Gao, C., Wu, F., Chen, X., Shen, Y.-G.: Phys. Rev. D 79, 043511 (2009)

    Article  ADS  Google Scholar 

  49. Cai, R.G.: Lett. Phys. B 657, 228 (2007)

    Article  MATH  Google Scholar 

  50. Wei, H., Cai, R.G.: Phys. Lett. B 660, 113 (2008)

    Article  ADS  Google Scholar 

  51. Jamil, M., Sheykhi, A.: Int. J. Theor. Phys. 50, 625–636 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  52. Jamil, M., Karami, K., Sheykhi, A.: Int. J. Theor. Phys. 50, 3069–3077 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  53. Granda, L.N., Oliveros, A.: Phys. Lett. B 669, 275 (2008)

    Article  ADS  Google Scholar 

  54. Granda, L.N., Oliveros, A.: Phys. Lett. B 671, 199 (2009)

    Article  ADS  Google Scholar 

  55. Dvali, G.R., Gabadadze, G., Porrati, M.: Phys. Lett. B 484, 112 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  56. De Felice, A., Tsujikawa, T. arXiv:1002.4928 [gr-qc]

  57. Yerzhanov, K. K. et al. arXiv:1006.3879v1 [gr-qc] (2010)

  58. Nojiri, S., Odintsov, S.D.: Phys. Lett. B631, 1 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  59. Antoniadis, I., Rizos, J., Tamvakis, K.: Nucl. Phys. B 415, 497 (1994)

    Article  ADS  Google Scholar 

  60. Horava, P.: JHEP 0903, 020 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  61. Brans, C., Dicke, H.: Phys. Rev. 124, 925 (1961)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  62. Lovelock, D.: J. Math. Phys. 12, 498 (1971)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  63. Harko, T., Lobo, F.S.N., Nojiri, S., Odintsov, S.D.: Phys. Rev. D84, 024020 (2011)

    ADS  Google Scholar 

  64. Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S. D., Zerbini, S. arXiv:hep-th/0601008

  65. Chow, N., Khoury, J.: Phys. Rev. D 024037, 80 (2009)

    Google Scholar 

  66. Chamseddine, A.H.: Phys. Lett. B 233, 291 (1989)

    Article  MathSciNet  ADS  Google Scholar 

  67. Chamseddine, A.H.: Nucl. Phys. B346, 213 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  68. Jackiw, R., Pi, S.Y.: Phys. Rev. D 68, 104012 (2003)

    Article  MathSciNet  ADS  Google Scholar 

  69. Edelstein, J., Hassaine, M., Troncoso, R., Zanelli, J.: Phys. Lett. B 640, 278 (2006)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  70. Hassaine, M., Romo, M.: J. High Energy Phys. 06, 018 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  71. Izaurieta, F., Minning, P., Perez, A., Rodriguez, E., Salgado, P.: Phys. Lett. B 678, 213 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  72. de Azcarraga, J.A., Izquierdo, J.M., Picon, M., Varela, O.: Nucl. Phys. B662, 185 (2003)

    Article  ADS  Google Scholar 

  73. Gomez, F., Minning, P., Salgado, P.: Phys. Rev. D 84, 063506 (2011)

    Article  ADS  Google Scholar 

  74. Silva, J.G., Santos, A.F.: Eur. Phys. J. C 73, 2500 (2003)

    Article  ADS  Google Scholar 

  75. Myung, Y.S. arXiv:1307.6265 [gr-qc]

  76. DasGupta, P. arXiv:0905.1621 [gr-qc]

  77. Urrutia, L.F. arXiv:gr-qc/0402001

  78. Alexander, S., Yunes, N. arXiv:0907.2562v3 [hep-th]

  79. Furtado, C., Mariz, T., Nascimento, J.R., Petrov, A. Yu., Santos, A. F. arXiv:0906.0554v3 [hep-th]

  80. Yunes, N., Pretorius, F. arXiv:0902.4669v3 [gr-qc]

  81. Grumiller, D., Yunes, N. arXiv:0711.1868v1 [gr-qc]

  82. Izaurieta, F., Rodriguez, E., Salgado, P.: J. Math. Phys. (N.Y.) 47, 123512 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  83. Birmingham, D., Blau, M., Rakowsky, M., Thompson, G.: Phys. Rep. 209, 129 (1991)

    Article  MathSciNet  ADS  Google Scholar 

  84. Witten, E.: Nucl. Phys. B 311, 46 (1988)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  85. Lerda, A.: Anyons, quantum mechanics of particles with fractional statistics: Lecture Notes in Physics, Vol. m14. Springer-Verlag (1992)

  86. Izaurieta, F., Rodriguez, E., Salgado, P.: Lett. Math. Phys. 80, 127 (2007)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  87. Cohen, A., Kaplan, D., Nelson, A.: Phys. Rev. Lett. 82, 4971 (1999)

    Article  MathSciNet  MATH  ADS  Google Scholar 

  88. Gao, C., Wu, F., Chen, X., Shen, Y.G.: Phys. Rev. D 79, 043511 (2009)

    Article  ADS  Google Scholar 

  89. Granda, L.N., Oliveros, A.: Phys. Lett. B 669, 275 (2008)

    Article  ADS  Google Scholar 

  90. Visser, M., Rel, Gen.: Grav. 37, 1541 (2005)

    MATH  Google Scholar 

  91. Cattoen, C., Visser, M. arXiv:gr-qc/0703122

  92. Capozziello, S., Cardone, V.F., Salzano, V.: Phys. Rev. D 063504, 78 (2008)

    MathSciNet  Google Scholar 

  93. Setare, M.R., Mohammadipour, N. arXiv:1206.0245 [physics.gen-ph]

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Acknowledgments

The author is thankful to Institute of Theoretical Physics, Chinese Academy of Science, Beijing, China for providing TWAS Associateship Programme under which part of the work was carried out. Also UD is thankful to CSIR, Govt. of India for providing research project grant (No. 03(1206)/12/EMR-II).

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Correspondence to Ujjal Debnath.

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Debnath, U. New Holographic Dark Energy in Chern-Simons Gravity and Cosmography. Int J Theor Phys 53, 4275–4290 (2014). https://doi.org/10.1007/s10773-014-2178-6

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