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K-chameleon and the coincidence problem

Hao Wei*

Rong-Gen Cai†

  • Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China and Graduate School of the Chinese Academy of Sciences, Beijing 100039, China

  • Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, China and CASPER, Department of Physics, Baylor University, Waco, Texas 76798-7316, USA

  • *Email address: haowei@itp.ac.cn
  • †Email address: cairg@itp.ac.cn
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Phys. Rev. D 71, 043504 – Published 8 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.043504

Abstract

In this paper we present a hybrid model of k-essence and chameleon, named as k-chameleon. In this model, due to the chameleon mechanism, the directly strong coupling between the k-chameleon field and matters (cold dark matters and baryons) is allowed. In the radiation-dominated epoch, the interaction between the k-chameleon field and background matters can be neglected; the behavior of the k-chameleon therefore is the same as that of the ordinary k-essence. After the onset of matter domination, the strong coupling between the k-chameleon and matters dramatically changes the result of the ordinary k-essence. We find that during the matter-dominated epoch, only two kinds of attractors may exist: one is the familiar K attractor and the other is a completely new, dubbed C attractor. Once the Universe is attracted into the C attractor, the fraction energy densities of the k-chameleon Ωϕ and dust matter Ωm are fixed and comparable, and the Universe will undergo a power-law accelerated expansion. One can adjust the model so that the K attractor does not appear. Thus, the k-chameleon model provides a natural solution to the cosmological coincidence problem.

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References (33)

  1. Supernova Search Team Collaboration, A. G. Riess et al., Astrophys. J. 607, 665 (2004).
  2. Supernova Cosmology Project Collaboration, R. A. Knop et al., Astrophys. J. 598, 102 (2003).
  3. Supernova Search Team Collaboration, A. G. Riess et al., Astron. J. 116, 1009 (1998); Supernova Cosmology Project Collaboration, S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
  4. C. L. Bennett et al., Astrophys. J. Suppl. Ser. 148, 1 (2003); D. N. Spergel et al., 148, 175 (2003).
  5. SDSS Collaboration, M. Tegmark et al., Phys. Rev. D 69, 103501 (2004); SDSS Collaboration, K. Abazajian et al., astro-ph/0410239; Astron. J. 128, 502 (2004); 126, 2081 (2003); SDSS Collaboration, M. Tegmark et al., Astrophys. J. 606, 702 (2004).
  6. P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003); T. Padmanabhan, Phys. Rep. 380, 235 (2003); S. M. Carroll, astro-ph/0310342.
  7. R. R. Caldwell, R. Dave, and P. J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998); C. Wetterich, Nucl. Phys. B302, 668 (1988); P. J. E. Peebles and B. Ratra, Astrophys. J. 325, L17 (1988).
  8. P. J. Steinhardt, L. M. Wang, and I. Zlatev, Phys. Rev. D 59, 123504 (1999).
  9. I. Zlatev and P. J. Steinhardt, Phys. Lett. B 459, 570 (1999).
  10. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. D 63, 103510 (2001).
  11. C. Armendariz-Picon, T. Damour, and V. Mukhanov, Phys. Lett. B 458, 209 (1999); J. Garriga and V. F. Mukhanov, 458, 219 (1999).
  12. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000).
  13. T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000).
  14. M. Malquarti, E. J. Copeland, and A. R. Liddle, Phys. Rev. D 68, 023512 (2003); M. Malquarti, E. J. Copeland, A. R. Liddle, and M. Trodden, 67, 123503 (2003).
  15. E. Fischbach and C. Talmadge, The Search for Non-Newtonian Gravity (Springer-Verlag, New York, 1999).
  16. C. M. Will, Theory and Experiment in Gravitational Physics (Basic Books/Perseus Group, New York, 1993), 2nd ed.; Living Rev. Relativity 4, 4 (2001).
  17. T. Damour and A. M. Polyakov, Nucl. Phys. B423, 532 (1994); Gen. Relativ. Gravit. 26, 1171 (1994); J. R. Ellis, S. Kalara, K. A. Olive, and C. Wetterich, Phys. Lett. B 228, 264 (1989); G. Huey, P. J. Steinhardt, B. A. Ovrut, and D. Waldram, 476, 379 (2000); C. T. Hill and G. G. Ross, Nucl. Phys. B311, 253 (1988); G. W. Anderson and S. M. Carroll, astro-ph/9711288.
  18. L. Amendola, Phys. Rev. D 62, 043511 (2000); L. Amendola and D. Tocchini-Valentini, 64, 043509 (2001); 66, 043528 (2002); L. Amendola and C. Quercellini, 68, 023514 (2003); L. Amendola, 69, 103524 (2004); Phys. Rev. Lett. 93, 181102 (2004); L. Amendola, C. Quercellini, D. Tocchini-Valentini, and A. Pasqui, Astrophys. J. 583, L53 (2003); D. Comelli, M. Pietroni, and A. Riotto, Phys. Lett. B 571, 115 (2003).
  19. J. A. Casas, J. Garcia-Bellido, and M. Quiros, Classical Quantum Gravity 9, 1371 (1992); C. Wetterich, Astron. Astrophys. 301, 321 (1995); D. Tocchini-Valentini and L. Amendola, Phys. Rev. D 65, 063508 (2002); G. W. Anderson and S. M. Carroll, astro-ph/9711288; R. Bean, Phys. Rev. D 64, 123516 (2001); D. Comelli, M. Pietroni, and A. Riotto, Phys. Lett. B 571, 115 (2003); G. R. Farrar and P. J. E. Peebles, Astrophys. J. 604, 1 (2004); M. B. Hoffman, astro-ph/0307350; S. S. Gubser and P. J. E. Peebles, Phys. Rev. D 70, 123510 (2004); M. Fairbairn, 70, 084020 (2004).
  20. R.-G. Cai and A. Wang, hep-th/0411025.
  21. Z.-K. Guo and Y.-Z. Zhang, Phys. Rev. D 71, 023501 (2005).
  22. W. Zimdahl and D. Pavon, Phys. Lett. B 521, 133 (2001); W. Zimdahl, D. Pavon, L. P. Chimento, and A. S. Jakubi, astro-ph/0404122; L. P. Chimento, A. S. Jakubi, D. Pavon, and W. Zimdahl, Phys. Rev. D 67, 083513 (2003); F. Piazza and S. Tsujikawa, J. Cosmol. Astropart. Phys. 07 (2004) 004; S. Tsujikawa and M. Sami, Phys. Lett. B 603, 113 (2004); U. Franca and R. Rosenfeld, Phys. Rev. D 69, 063517 (2004).
  23. T. Damour, F. Piazza, and G. Veneziano, Phys. Rev. Lett. 89, 081601 (2002); F. Piazza and C. Marinoni, 91, 141301 (2003).
  24. J. Khoury and A. Weltman, Phys. Rev. Lett. 93, 171104 (2004); Phys. Rev. D 69, 044026 (2004).
  25. P. Brax, C. van de Bruck, A. C. Davis, J. Khoury, and A. Weltman, Phys. Rev. D 70, 123518 (2004).
  26. P. Brax, C. van de Bruck, A. C. Davis, J. Khoury, and A. Weltman, astro-ph/0410103.
  27. S. S. Gubser and J. Khoury, Phys. Rev. D 70, 104001 (2004).
  28. S. Nojiri and S. D. Odintsov, Mod. Phys. Lett. A 19, 1273 (2004).
  29. J. D. Barrow and D. F. Mota, Classical Quantum Gravity 20, 2045 (2003); D. F. Mota and J. D. Barrow, Phys. Lett. B 581, 141 (2004); Mon. Not. R. Astron. Soc. 349, 281 (2004).
  30. H. Wei and R.-G. Cai (to be published).
  31. D. Tytler, J. M. O’Meara, N. Suzuki, and D. Lubin, Phys. Scr. T85, 12 (2000).
  32. K. A. Olive, G. Steigman, and T. P. Walker, Phys. Rep. 333, 389 (2000).
  33. A. Vikman, Phys. Rev. D 71, 023515 (2005).

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Phys. Rev. D 71, 043504– Published 8 February, 2005
  • Received 8 December 2004

© 2005 American Physical Society

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