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Consistency of f(R)=R2−R02 gravity with cosmological observations in the Palatini formalism

M. Sadegh Movahed1,2, Shant Baghram3, and Sohrab Rahvar3

  • 1Department of Physics, Shahid Beheshti University, Evin, Tehran 19839, Iran
  • 2Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5531, Tehran, Iran
  • 3Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran

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Phys. Rev. D 76, 044008 – Published 8 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.044008

Abstract

In this work we study the dynamics of the Universe in f(R)=R2−R02 modified gravity with the Palatini formalism. We use data from recent observations, such as the supernova type Ia Gold sample and Supernova Legacy Survey data, the size of the baryonic acoustic peak from the Sloan Digital Sky Survey , the position of the acoustic peak from the cosmic microwave background observations, and large-scale structure formation from the 2dFGRS survey, to put constraints on the parameters of the model. To check the consistency of this action, we compare the age of old cosmological objects with the age of the Universe. In the combined analysis with all the observations, we find the parameters of the model as R0=6.192−0.177+0.167×H02 and Ωm=0.278−0.278+0.273.

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References (67)

  1. A. G. Riess et al., Astron. J. 116, 1009 (1998).
  2. S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
  3. C. L. Bennett et al., Astrophys. J. Suppl. Ser. 148, 1 (2003).
  4. H. V. Peiris et al., Astrophys. J. Suppl. Ser. 148, 213 (2003).
  5. D. N. Spergel, L. Verde, H. V. Peiris et al., Astrophys. J. 148, 175 (2003).
  6. S. Weinberg, Rev. Mod. Phys. 61, 1 (1989); S. M. Carroll, Living Rev. Relativity 4, 1 (2001); P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003); T. Padmanabhan, Phys. Rep. 380, 235 (2003).
  7. C. Wetterich, Nucl. Phys. B302, 668 (1988); P. J. E. Peebles and B. Ratra, Astrophys. J. 325, L17 (1988); B. Ratra and P. J. E. Peebles, Phys. Rev. D 37, 3406 (1988); J. A. Frieman, C. T. Hill, A. Stebbins, and I. Waga, Phys. Rev. Lett. 75, 2077 (1995); M. S. Turner and M. White, Phys. Rev. D 56, R4439 (1997); R. R. Caldwell, R. Dave, and P. J. Steinhardt, Phys. Rev. Lett. 80, 1582 (1998); A. R. Liddle and R. J. Scherrer, Phys. Rev. D 59, 023509 (1998); I. Zlatev, L. Wang, and P. J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999); P. J. Steinhardt, L. Wang, and I. Zlatev, Phys. Rev. D 59, 123504 (1999); D. F. Torres, 66, 043522 (2002).
  8. L. Amendola, Phys. Rev. D 62, 043511 (2000); L. Amendola and D. Tocchini-Valentini, 64, 043509 (2001); 66, 043528 (2002); L. Amendola, Mon. Not. R. Astron. Soc. 342, 221 (2003); M. Pietroni, Phys. Rev. D 67, 103523 (2003); D. Comelli, M. Pietroni, and A. Riotto, Phys. Lett. B 571, 115 (2003); U. Franca and R. Rosenfeld, Phys. Rev. D 69, 063517 (2004); X. Zhang, Phys. Lett. B 611, 1 (2005).
  9. P. J. E. Peebles and R. Ratra, Astrophys. J. 325, L17 (1988).
  10. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000).
  11. J. S. Bagla, H. K. Jassal, and T. Padmanabhan, Phys. Rev. D 67, 063504 (2003).
  12. R. R. Caldwell, Phys. Lett. B 545, 23 (2002).
  13. R. R. Caldwell, M. Kamionkowski, and N. N. Weinberg, Phys. Rev. Lett. 91, 071301 (2003).
  14. A. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Lett. B 511, 265 (2001).
  15. S. Arbabi Bidgoli, M. S. Movahed, and S. Rahvar, Int. J. Mod. Phys. D 15, 1455 (2006).
  16. L. Wang, R. R. Caldwell, J. P. Ostriker, and P. J. Steinhardt, Astrophys. J. 530, 17 (2000).
  17. S. Perlmutter, M. S. Turner, and M. White, Phys. Rev. Lett. 83, 670 (1999).
  18. L. Page et al., Astrophys. J. Suppl. Ser. 148, 233 (2003).
  19. M. Doran, M. Lilley, J. Schwindt, and C. Wetterich, Astrophys. J. 559, 501 (2001).
  20. M. Doran and M. Lilley, Mon. Not. R. Astron. Soc. 330, 965 (2002).
  21. R. R. Caldwell and M. Doran, Phys. Rev. D 69, 103517 (2004).
  22. S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, Phys. Rev. D 70, 043528 (2004).
  23. S. Nojiri and S. D. Odintsov, Gen. Relativ. Gravit. 36, 1765 (2004); M. E. Soussa and R. P. Woodard, 36, 855 (2004); G. Allemandi, A. Borowiec, and M. Francaviglia, Phys. Rev. D 70, 103503 (2004); D. A. Easson, Int. J. Mod. Phys. A 19, 5343 (2004); S. M. Carroll, A. De Felice, V. Duvvuri, D. A. Easson, M. Trodden, and M. S. Turner, Phys. Rev. D 71, 063513 (2005); S. Carloni, P. K. S. Dunsby, S. Capozziello, and A. Troisi, Classical Quantum Gravity 22, 4839 (2005); S. Capozziello, V. F. Cardone, and A. Troisi, Phys. Rev. D 71, 043503 (2005); G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, and S. Zerbini, J. Cosmol. Astropart. Phys. 02 (2005) 010; S. Nojiri, S. D. Odintsov, and S. Tsujikawa, Phys. Rev. D 71, 063004 (2005); T. Clifton and J. D. Barrow, 72, 103005 (2005); S. Das, N. Banerjee, and N. Dadhich, Classical Quantum Gravity 23, 4159 (2006); S. Capozziello, V. F. Cardone, E. Elizalde, S. Nojiri, and S. D. Odintsov, Phys. Rev. D 73, 043512 (2006); T. P. Sotiriou, Classical Quantum Gravity 23, 5117 (2006); A. De Felice, M. Hindmarsh, and M. Trodden, J. Cosmol. Astropart. Phys. 08 (2006) 005; S. Nojiri and S. D. Odintsov, Phys. Rev. D 74, 086005 (2006); A. F. Zakharov, A. A. Nucita, F. De Paolis, and G. Ingrosso, 74, 107101 (2006); P. Zhang, 73, 123504 (2006); K. Atazadeh and H. R. Sepangi, Int. J. Mod. Phys. D 16, 687 (2007); S. M. Carroll, I. Sawicki, A. Silvestri, and M. Trodden, New J. Phys. 8, 323 (2006); D. Huterer and E. V. Linder, Phys. Rev. D 75, 023519 (2007); X. h. Jin, D. j. Liu, and X. z. Li, arXiv:astro-ph/0610854; N. J. Poplawski, arXiv:gr-qc/0610133; V. Faraoni, Phys. Rev. D 74, 104017 (2006); Y. S. Song, W. Hu, and I. Sawicki, 75, 044004 (2007); I. Navarro and K. Van Acoleyen, arXiv:gr-qc/061112; R. Bean, D. Bernat, L. Pogosian, A. Silvestri, and M. Trodden, Phys. Rev. D 75, 064020 (2007); T. Chiba, T. L. Smith, and A. L. Erickcek, 75, 124014 (2007); V. Faraoni and S. Nadeau, 75, 023501 (2007); E. O. Kahya and V. K. Onemli, arXiv:gr-qc/0612026.
  24. S. Rahvar and Y. Sobouti, arXiv:0704.0680.
  25. D. N. Vollick, Phys. Rev. D 68, 063510 (2003).
  26. S. Baghram, M. Farhang, and S. Rahvar, Phys. Rev. D 75, 044024 (2007).
  27. T. P. Sotiriou, Phys. Rev. D 73, 063515 (2006).
  28. V. V. Nesterenko, Phys. Rev. D 75, 087703 (2007).
  29. G. Allemandi, A. Borowiec, and M. Francaviglia, Phys. Rev. D 70, 043524 (2004); 70, 103503 (2004); M. Amarzguioui, O. Elgaroy, D. F. Mota, and T. Multamaki, Astron. Astrophys. 454, 707 (2006); T. P. Sotiriou and S. Liberati, Ann. Phys. (N.Y.) 322, 935 (2007).
  30. A. Melchiorri, L. Mersini, C. L. Ödman, and M. Trodden, arXiv:astro-ph/0211522.
  31. W. L. Freedman et al., Astrophys. J. Lett. 553, 47 (2001).
  32. X. Zhang and F. Q. Wu, Phys. Rev. D 72, 043524 (2005).
  33. B. P. Schmidt et al., Astrophys. J. 507, 46 (1998).
  34. A. G. Riess et al., Astrophys. J. 607, 665 (2004).
  35. J. L. Tonry et al., Astrophys. J. 594, 1 (2003).
  36. B. J. Barris et al., Astrophys. J. 602, 571 (2004).
  37. The Gold data set is available at http://braeburn.pha.jhu.edu/ariess/R06.
  38. P. Astier et al., Astron. Astrophys. 447, 31 (2006).
  39. H. K. Jassal et al., arXiv:astro-ph/0601389.
  40. S. Nesseris and L. Perivolaropoulos, Phys. Rev. D 70, 043531 (2004).
  41. W. Hu, N. Sugiyama, and J. Silk, Nature (London) 386, 37 (1997).
  42. W. Hu and N. Sugiyama, Astrophys. J. 444, 489 (1995).
  43. W. Hu, M. Fukugita, M. Zaldarriaga, and M. Tegmark, Astrophys. J. 549, 669 (2001).
  44. M. Doran and M. Lilley, Mon. Not. R. Astron. Soc. 330, 965 (2002).
  45. J. R. Bond, G. Efstathiou, and M. Tegmark, Mon. Not. R. Astron. Soc. 291, L33 (1997); A. Melchiorri, L. Mersini, C. J. Odman, and M. Trodden, Phys. Rev. D 68, 043509 (2003); C. J. Odman, A. Melchiorri, M. P. Hobson, and A. N. Lasenby, 67, 083511 (2003).
  46. T. J. Pearson et al. (CBI Collaboration), Astrophys. J. 591, 556 (2003); C. L. Kuo et al. (ACBAR Collaboration), 600, 32 (2004).
  47. D. J. Eisenstein et al., Astrophys. J. 633, 560 (2005).
  48. C. L. Bennett, R. S. Hill, and G. Hinshaw, Astrophys. J. Suppl. Ser. 148, 97 (2003).
  49. A. Lue, R. Scoccimarro, and G. Starkman, Phys. Rev. D 69, 044005 (2004).
  50. G. J. Olmo, Phys. Rev. Lett. 95, 261102 (2005); 98, 061101 (2007).
  51. T. Padmanabhan, Structure Formation in the Universe (Cambridge University Press, Cambridge, England, 1993).
  52. R. H. Brandenberger, in The Early Universe and Observational Cosmology, edited by N. Breton, J. L. Cervantes-Cota, and M. Salgado, Lecture Notes in Physics Vol. 646 (Springer, Berlin/Heidelberg, 2004), p. 127.
  53. K. Koyama and R. Maartens, J. Cosmol. Astropart. Phys. 01 (2006) 016.
  54. P. J. E. Peebles, The Large Scale Structure of the Universe (Princeton University Press, Princeton, NJ, 1980).
  55. R. Mansouri and S. Rahvar, Int. J. Mod. Phys. D 11, 321 (2002).
  56. L. Verde, M. Kamionkowski, J. J. Mohr, and A. J. Benson, Mon. Not. R. Astron. Soc. 321, L7 (2001).
  57. O. Lahav, S. L. Bridle, and W. J. Percival (2dFGRS Team), Mon. Not. R. Astron. Soc. 333, 961 (2002).
  58. E. Carretta et al., Astrophys. J. 533, 215 (2000); B. Chaboyer and L. M. Krauss, Astrophys. J. Lett. 567, L45 (2002).
  59. H. B. Richer et al., Astrophys. J. 574, L151 (2002).
  60. B. M. S. Hansen et al., Astrophys. J. 574, L155 (2002).
  61. J. Dunlop et al., Nature (London) 381, 581 (1996); H. Spinrard, Astrophys. J. 484, 581 (1997).
  62. J. Dunlop, in The Most Distant Radio Galaxies, edited by H. J. A. Rottgering, P. Best, and M. D. Lehnert (Kluwer, Dordrecht, 1999), p. 71.
  63. G. Hasinger, N. Schartel, and S. Komossa, Astrophys. J. Lett. 573, L77 (2002).
  64. D. Jain and A. Dev, Phys. Lett. B 633, 436 (2006).
  65. M. Sadegh Movahed and S. Rahvar, Phys. Rev. D 73, 083518 (2006).
  66. S. Rahvar and M. Sadegh Movahed, Phys. Rev. D 75, 023512 (2007).
  67. N. J. Poplawski, Classical Quantum Gravity 24, 3013 (2007).

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Phys. Rev. D 76, 044008– Published 8 August, 2007
  • Received 7 May 2007

© 2007 American Physical Society

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