Skip to main content
SpringerLink
Log in

Interacting Ricci Logarithmic Entropy-Corrected Holographic Dark Energy in Brans-Dicke Cosmology

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In the derivation of Holographic Dark Energy (HDE), the area law of the black hole entropy assumes a crucial role. However, the entropy-area relation can be modified including some quantum effects, motivated from the Loop Quantum Gravity (LQG), string theory and black hole physics. In this paper, we study the cosmological implications of the interacting logarithmic entropy-corrected HDE (LECHDE) model in the framework of Brans-Dicke (BD) cosmology. As system’s infrared (IR) cut-off, we choose the average radius of Ricci scalar curvature, i.e. R −1/2. We obtain the Equation of State (EoS) parameter ω D , the deceleration parameter q and the evolution of energy density parameter \(\varOmega'_{D}\) of our model in a non-flat universe. Moreover, we study the limiting cases corresponding to our model without corrections and to the Einstein’s gravity.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. de Bernardis, P., et al.: Nature 404, 955 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. Riess, A.G., et al.: Astron. J. 116, 1009 (1998)

    Article  ADS  Google Scholar 

  4. Seljak, U., et al.: Phys. Rev. D 71, 103515 (2005)

    Article  ADS  Google Scholar 

  5. Padmanabhan, T.: Phys. Rep. 380, 235 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Cai, Y.F., Saridakis, E.N., Setare, M.R., Xia, J.Q.: Phys. Rep. 493, 1 (2010)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. del Campo, S., Herrera, R., Pavon, D.: J. Cosmol. Astropart. Phys. 0901, 020 (2009)

    Article  Google Scholar 

  10. Leon, G., Saridakis, E.N.: Phys. Lett. B 693, 1 (2010)

    Article  ADS  Google Scholar 

  11. Jimenez, J.B., Maroto, A.L.: AIP Conf. Proc. 1122, 107 (2009)

    Article  ADS  Google Scholar 

  12. Berger, M.S., Shojae, H.: Phys. Rev. D 73, 083528 (2006)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. Griest, K.: Phys. Rev. D 66, 123501 (2002)

    Article  ADS  Google Scholar 

  15. Jamil, M., Rahaman, F.: Eur. Phys. J. C 64, 97 (2009)

    Article  ADS  Google Scholar 

  16. Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Rev. D 81, 023007 (2010)

    Article  ADS  Google Scholar 

  17. Jamil, M., Saridakis, E.N.: J. Cosmol. Astropart. Phys. 07, 028 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  18. Jamil, M., Farooq, M.U.: J. Cosmol. Astropart. Phys. 03, 001 (2010)

    Article  ADS  Google Scholar 

  19. Jamil, M., Sheykhi, A., Farooq, M.U.: Int. J. Mod. Phys. D 19, 1831 (2010)

    Article  ADS  MATH  Google Scholar 

  20. Li, M.: Phys. Lett. B 603, 1 (2004)

    Article  ADS  Google Scholar 

  21. Myung, Y.S.: Phys. Lett. B 649, 247 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. Myung, Y.S., Seo, M.G.: Phys. Lett. B 671, 435 (2009)

    Article  ADS  Google Scholar 

  23. Huang, Q.G., Li, M.: J. Cosmol. Astropart. Phys. 8, 13 (2004)

    Article  ADS  Google Scholar 

  24. ’t Hooft, G.: Int. J. Mod. Phys. D 15, 1587 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  25. Susskind, L.: J. Math. Phys. 36, 6377 (1995)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. Bigatti, D., Susskind, L.: In: Strings, Branes and Gravity. TASI, vol. 99, p. 883. World Scientific, Singapore (2001).

    Chapter  Google Scholar 

  27. Fischler, W., Susskind, L.: arXiv:hep-th/9806039 (1998)

  28. Cohen, A.G., Kaplan, D.B., Nelson, A.E.: Phys. Rev. Lett. 82, 4971 (1999)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. Guberina, B., Horvat, R., Nikolic, H.: J. Cosmol. Astropart. Phys. 1, 12 (2007)

    Article  ADS  Google Scholar 

  30. Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)

    Article  MathSciNet  ADS  Google Scholar 

  31. Hawking, S.W.: Phys. Rev. D 13, 191 (1976)

    Article  MathSciNet  ADS  Google Scholar 

  32. Chen, B., Li, M., Wang, Y.: Nucl. Phys. B 774, 256 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  33. Jamil, M., Saridakis, E.N., Setare, M.R.: Phys. Lett. B 679, 172 (2009)

    Article  ADS  Google Scholar 

  34. Xu, L.: J. Cosmol. Astropart. Phys. 9, 16 (2009)

    Article  ADS  Google Scholar 

  35. Sadjadi, H.M., Jamil, M.: Gen. Relativ. Gravit. 43, 1759 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. Karami, K., Jamil, M., Roos, M., Ghaffari, S., Abdolmaleki, A.: Astrophys. Space Sci. 340, 175 (2012)

    Article  ADS  Google Scholar 

  37. Karami, K., Fehri, J.: Int. J. Theor. Phys. 49, 1118 (2010)

    Article  MATH  Google Scholar 

  38. Jamil, M., Farooq, M.U.: Int. J. Theor. Phys. 49, 42 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  39. Jamil, M., Farooq, M.U., Rashid, M.A.: Eur. Phys. J. C 61, 471 (2009)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  42. Wang, B., Gong, Y., Abdalla, E.: Phys. Lett. B 624, 141 (2005)

    Article  ADS  Google Scholar 

  43. Wang, B., Lin, C.Y., Abdalla, E.: Phys. Lett. B 637, 357 (2006)

    Article  ADS  Google Scholar 

  44. Wang, B., Lin, C.Y., Pavón, D., Abdalla, E.: Phys. Lett. B 662, 1 (2008)

    Article  ADS  Google Scholar 

  45. Sheykhi, A.: Class. Quantum Gravity 27, 025007 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  46. Chattopadhyay, S., Debnath, U.: Astrophys. Space Sci. 319, 183 (2009)

    Article  ADS  Google Scholar 

  47. Karami, K., Fehri, J.: Phys. Lett. B 684, 61 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  49. Fen, C.J., Li, X.Z.: Phys. Lett. B 679, 151 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  50. Feng, C.J., Zhang, X.: Phys. Lett. B 680, 399 (2009)

    Article  ADS  Google Scholar 

  51. Wei, H.: Nucl. Phys. B 819, 210 (2009)

    Article  ADS  MATH  Google Scholar 

  52. Bisabr, Y.: Gen. Relativ. Gravit. 41, 305 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  53. Nozari, K., Rashidi, N.: Int. J. Mod. Phys. D 19, 219 (2010)

    Article  ADS  MATH  Google Scholar 

  54. Nozari, K., Rashidi, N.: Int. J. Theor. Phys. 48, 2800 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  55. Jamil, M., Sheykhi, A., Farooq, M.U.: Int. J. Mod. Phys. D 19, 1831 (2010)

    Article  ADS  MATH  Google Scholar 

  56. Karami, K., Khaledian, M.S.: J. High Energy Phys. 3, 86 (2011)

    Article  ADS  Google Scholar 

  57. Setare, M.R.: Phys. Lett. B 644, 99 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  59. Setare, M.R., Jamil, M.: Phys. Lett. B 690, 1 (2010)

    Article  ADS  Google Scholar 

  60. Feng, C., Wang, B., Gong, Y., Su, R.K.: J. Cosmol. Astropart. Phys. 9, 5 (2007)

    Article  ADS  Google Scholar 

  61. Wang, B., Zang, J., Lin, C.Y., Abdalla, E., Micheletti, S.: Nucl. Phys. B 778, 69 (2007)

    Article  ADS  Google Scholar 

  62. Wu, Q., Gong, Y., Wang, A., Alcaniz, J.S.: Phys. Lett. B 659, 34 (2008)

    Article  ADS  Google Scholar 

  63. Li, M., Li, X.D., Wang, S., Wang, Y., Zhang, X.: J. Cosmol. Astropart. Phys. 12, 14 (2009)

    Article  ADS  MATH  Google Scholar 

  64. Lu, J., Saridakis, E.N., Setare, M.R., Xu, L.: J. Cosmol. Astropart. Phys. 3, 31 (2010)

    Article  ADS  Google Scholar 

  65. Zhang, X.: Phys. Lett. B 683, 81 (2010)

    Article  ADS  Google Scholar 

  66. Banerjee, R., Gangopadhyay, S., Modak, S.K.: Phys. Lett. B 686, 181 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  67. Banerjee, R., Modak, S.K.: J. High Energy Phys. 5, 63 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  68. Modak, S.K.: Phys. Lett. B 671, 167 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  69. Banerjee, R., Majhi, B.R.: Phys. Lett. B 662, 62 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  70. Banerjee, R., Ranjan Majhi, B.: J. High Energy Phys. 6, 95 (2008)

    Article  ADS  Google Scholar 

  71. Zhang, J.: Phys. Lett. B 668, 353 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  72. Karami, K., Abdolmaleki, A.: Phys. Scr. 81, 055901 (2010)

    Article  ADS  Google Scholar 

  73. Karami, K., Sheykhi, A., Jamil, M., Azarmi, Z., Soltanzadeh, M.M.: Gen. Relativ. Gravit. 43, 27 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  74. Ashtekar, A., Baez, J., Corichi, A., Krasnov, K.: Phys. Rev. Lett. 80, 904 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  75. Rovelli, C.: Phys. Rev. Lett. 77, 3288 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  76. Ghosh, A., Mitra, P.: Phys. Rev. D 71, 027502 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  77. Medved, A.J., Vagenas, E.C.: Phys. Rev. D 70, 124021 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  78. Meissner, K.A.: Class. Quantum Gravity 21, 5245 (2004)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  79. Wald, R.M.: General Relativity. University of Chicago Press, Chicago (1984). 504 p

    Book  MATH  Google Scholar 

  80. Cai, Y.F., Liu, J., Li, H.: Phys. Lett. B 690, 213 (2010)

    Article  ADS  Google Scholar 

  81. Wei, H.: Commun. Theor. Phys. 52, 743 (2009)

    Article  ADS  MATH  Google Scholar 

  82. Gong, Y.: Phys. Rev. D 70, 064029 (2004)

    Article  ADS  Google Scholar 

  83. Kim, H., Lee, H.W., Myung, Y.S.: Phys. Lett. B 628, 11 (2005)

    Article  ADS  Google Scholar 

  84. Kim, H., Lee, H.W., Myung, Y.S.: arXiv:hep-th/0501118 (2005)

  85. Gong, Y.: Phys. Rev. D 61, 043505 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  86. Nayak, B., Singh, L.P.: Mod. Phys. Lett. A 24, 1785 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  87. Xu, L., Li, W., Lu, J.: Eur. Phys. J. C 60, 135 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  88. Sheykhi, A.: Phys. Rev. D 81, 023525 (2010)

    Article  ADS  Google Scholar 

  89. Sheykhi, A., Jamil, M.: Phys. Lett. B 694, 284 (2011)

    Article  ADS  Google Scholar 

  90. Sheykhi, A.: Phys. Lett. B 681, 205 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  91. Feng, C.-J.: arXiv:0806.0673 (2008)

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

    Article  ADS  Google Scholar 

  93. Cai, R.G., Hu, B., Zhang, Y.: Commun. Theor. Phys. 51, 954 (2009)

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  95. Feng, C.J.: Phys. Lett. B 670, 231 (2008)

    Article  ADS  Google Scholar 

  96. Feng, C.J.: Phys. Lett. B 676, 168 (2009)

    Article  ADS  Google Scholar 

  97. Feng, C.J.: Phys. Lett. B 672, 94 (2009)

    Article  ADS  Google Scholar 

  98. Feng, C.J., Li, X.Z.: Phys. Lett. B 680, 355 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  99. Xu, L., Wang, Y.: J. Cosmol. Astropart. Phys. 6, 2 (2010)

    Article  ADS  Google Scholar 

  100. Arik, M., Çalik, M.C., Sheftel, M.B.: Int. J. Mod. Phys. D 17, 225 (2008)

    Article  ADS  MATH  Google Scholar 

  101. Arik, M., Çalik, M.C.: Mod. Phys. Lett. A 21, 1241 (2006)

    Article  ADS  MATH  Google Scholar 

  102. Banerjee, N., Pavón, D.: Phys. Lett. B 647, 477 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  103. Xu, L., Lu, J., Li, W.: arXiv:0905.4174 (2009)

  104. Acquaviva, V., Verde, L.: J. Cosmol. Astropart. Phys. 12, 1 (2007)

    Article  ADS  Google Scholar 

  105. Bertotti, B., Iess, L., Tortora, P.: Nature 425, 374 (2003)

    Article  ADS  Google Scholar 

  106. Sheykhi, A.: Phys. Lett. B 681, 205 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  107. Amendola, L., Tocchini-Valentini, D.: Phys. Rev. D 64, 043509 (2001)

    Article  ADS  Google Scholar 

  108. Amendola, L., Tocchini-Valentini, D.: Phys. Rev. D 66, 043528 (2002)

    Article  ADS  Google Scholar 

  109. Jamil, M., Saridakis, E.N., Setare, E.R.: Phys. Lett. B 679, 172 (2010)

    Article  ADS  Google Scholar 

  110. Setare, M.R., Jamil, M.: Phys. Lett. B 690, 1 (2010)

    Article  ADS  Google Scholar 

  111. Sheykhi, A., Jamil, M.: Phys. Lett. B 694, 284 (2011)

    Article  ADS  Google Scholar 

  112. Farooq, M.U., Jamil, M., Rashid, M.A.: Int. J. Theor. Phys. 49, 2278 (2010)

    Article  MATH  Google Scholar 

  113. Jamil, M., Farooq, M.U.: Int. J. Theor. Phys. 49, 42 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  114. Zimdahl, W., Pavon, D.: Phys. Lett. B 521, 133 (2001)

    Article  ADS  MATH  Google Scholar 

  115. Zimdahl, W., Pavon, D.: Gen. Relativ. Gravit. 35, 413 (2003)

    Article  ADS  MATH  Google Scholar 

  116. Setare, M.R., Jamil, M.: J. Cosmol. Astropart. Phys. 02, 010 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  117. Jamil, M., Farooq, M.U.: J. Cosmol. Astropart. Phys. 03, 001 (2010)

    Article  ADS  Google Scholar 

  118. Bertolami, O., Gil Pedro, F., Le Delliou, M.: Phys. Lett. B 654, 165 (2007)

    Article  ADS  Google Scholar 

  119. Jamil, M., Rashid, M.A.: Eur. Phys. J. C 58, 111 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  120. Feng, C., Wang, B., Gong, Y., Su, R.K.: J. Cosmol. Astropart. Phys. 9, 5 (2007)

    Article  ADS  Google Scholar 

  121. Ichiki, K., et al.: J. Cosmol. Astropart. Phys. 06, 005 (2008)

    Article  ADS  Google Scholar 

  122. Pasqua, A., Khodam-Mohammadi, A., Jami, M., Myrzakulov, R.: Astrophys. Space Sci. 340, 199 (2012)

    Article  ADS  Google Scholar 

  123. Pasqua, A.: Astrophys. Space Sci. 346(2), 531 (2013)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Trieste, Via Valerio, 2, 34127, Trieste, Italy

    Antonio Pasqua

  2. Heat-and-Power Engineering Department, National Technical University of Ukraine “Kyiv Politechnical Institute”, Kyiv, Ukraine

    Iuliia Khomenko

Authors
  1. Antonio Pasqua
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Iuliia Khomenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Antonio Pasqua.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pasqua, A., Khomenko, I. Interacting Ricci Logarithmic Entropy-Corrected Holographic Dark Energy in Brans-Dicke Cosmology. Int J Theor Phys 52, 3981–3993 (2013). https://doi.org/10.1007/s10773-013-1711-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-013-1711-3

Keywords

Search

Navigation