Matter density perturbations and effective gravitational constant in modified gravity models of dark energy

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 76, Issue 2, 2007, Pages

  Tsujikawa, Shinji ^a  

^a GUNMA NATIONAL COLLEGE OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34547199916     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.76.023514     Document Type: Article

References (120)

1. S. Perlmutter, Astrophys. J. 517, 565 (1999); ASJOAB 0004-637X 10.1086/307221
2. A.G. Riess, Astron. J. 116, 1009 (1998); ANJOAA 0004-6256 10.1086/300499
3. A.G. Riess Astron. J. 117, 707 (1999). ANJOAA 0004-6256 10.1086/300738
4. P. Astier, Astron. Astrophys. 447, 31 (2006); AAEJAF 0004-6361 10.1051/0004-6361:20054185
5. A.G. Riess, arXiv:astro-ph/0611572;
6. W.M. Wood-Vasey, arXiv:astro-ph/0701041.
7. D.N. Spergel (WMAP Collaboration), Astrophys. J. Suppl. Ser. 148, 175 (2003); APJSA2 0067-0049 10.1086/377226
8. D.N. Spergel, arXiv:astro-ph/0603449.
9. D.J. Eisenstein (SDSS Collaboration), Astrophys. J. 633, 560 (2005). ASJOAB 0004-637X 10.1086/466512
10. V. Sahni and A.A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000); IMPDEO 0218-2718
11. S.M. Carroll, Living Rev. Relativity 1433-8351 4, 1 (2001);
12. V. Sahni, Lect. Notes Phys. 653, 141 (2004); LNPHA4 0075-8450
13. T. Padmanabhan, Phys. Rep. 380, 235 (2003); PRPLCM 0370-1573 10.1016/S0370-1573(03)00120-0
14. P.J.E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003); RMPHAT 0034-6861 10.1103/RevModPhys.75.559
15. S. Nojiri and S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 0219-8878 4, 115 (2007). 10.1142/S0219887807001928
16. E.J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). IMPDEO 0218-2718 10.1142/S021827180600942X
17. Y. Fujii, Phys. Rev. D 26, 2580 (1982); PRVDAQ 0556-2821 10.1103/PhysRevD.26.2580
18. C. Wetterich, Nucl. Phys. NUPBBO 0550-3213 B302, 668 (1988); 10.1016/0550-3213(88)90193-9
19. B. Ratra and J. Peebles, Phys. Rev. D 37, 3406 (1988); PRVDAQ 0556-2821 10.1103/PhysRevD.37.3406
20. T. Chiba, N. Sugiyama, and T. Nakamura, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 289, L5 (1997);
21. I. Zlatev, L.M. Wang, and P.J. Steinhardt, Phys. Rev. Lett. 82, 896 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.896
22. T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000); PRVDAQ 0556-2821 10.1103/PhysRevD.62.023511
23. C. Armendáriz-Picón, V. Mukhanov, and P.J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.4438
24. S. Capozziello, V.F. Cardone, S. Carloni, and A. Troisi, Int. J. Mod. Phys. D 12, 1969 (2003); IMPDEO 0218-2718 10.1142/S0218271803004407
25. S.M. Carroll, V. Duvvuri, M. Trodden, and M.S. Turner, Phys. Rev. D 70, 043528 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.043528
26. S. Nojiri and S.D. Odintsov, Phys. Rev. D 68, 123512 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.123512
27. J.P. Uzan, Phys. Rev. D 59, 123510 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.59.123510
28. L. Amendola, Phys. Rev. D 60, 043501 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.60.043501
29. T. Chiba, Phys. Rev. D 60, 083508 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.60.083508
30. N. Bartolo and M. Pietroni, Phys. Rev. D 61, 023518 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.61.023518
31. F. Perrotta, C. Baccigalupi, and S. Matarrese, Phys. Rev. D 61, 023507 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.61.023507
32. A. Riazuelo and J.P. Uzan, Phys. Rev. D 66, 023525 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.023525
33. D.F. Torres, Phys. Rev. D 66, 043522 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.043522
34. E. Elizalde, S. Nojiri, and S.D. Odintsov, Phys. Rev. D 70, 043539 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.043539
35. L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 1475-7516 10 (2005) 001; 10.1088/1475-7516/2005/10/001
36. D.A. Easson, J. Cosmol. Astropart. Phys. 1475-7516 02 (2007) 004; 10.1088/1475-7516/2007/02/004
37. S. Nesseris and L. Perivolaropoulos, Phys. Rev. D 75, 023517 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.023517
38. G.R. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B 485, 208 (2000); PYLBAJ 0370-2693 10.1016/S0370-2693(00)00669-9
39. V. Sahni and Y. Shtanov, J. Cosmol. Astropart. Phys. 1475-7516 11 (2003) 014. 10.1088/1475-7516/2003/11/014
40. P. Zhang, Phys. Rev. D 73, 123504 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.73.123504
41. S.M. Carroll, I. Sawicki, A. Silvestri, and M. Trodden, New J. Phys. 8, 323 (2006); NJOPFM 1367-2630 10.1088/1367-2630/8/12/323
42. R. Bean, D. Bernat, L. Pogosian, A. Silvestri, and M. Trodden, Phys. Rev. D 75, 064020 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.75.064020
43. Y.S. Song, W. Hu, and I. Sawicki, Phys. Rev. D 75, 044004 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.75.044004
44. B. Li and J.D. Barrow, Phys. Rev. D 75, 084010 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.75.084010
45. T. Faulkner, M. Tegmark, E.F. Bunn, and Y. Mao, arXiv:astro-ph/0612569;
46. I. Sawicki and W. Hu, Phys. Rev. D PRVDAQ 0556-2821 75, 127502 (2007); 10.1103/PhysRevD.75.127502
47. K. Uddin, J.E. Lidsey, and R. Tavakol, arXiv:0705.0232.
48. L. Amendola, M. Kunz, and D. Sapone, arXiv:0704.2421.
49. A.R. Cooray and D. Huterer, Astrophys. J. 513, L95 (1999); ASJOAB 0004-637X 10.1086/311927
50. N. Sarbu, D. Rusin, and C.P. Ma, Astrophys. J. 561, L147 (2001); ASJOAB 0004-637X 10.1086/324679
51. K.H. Chae, Phys. Rev. Lett. 89, 151301 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.151301
52. E.V. Linder, Phys. Rev. D 70, 043534 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.043534
53. W. Hu and B. Jain, Phys. Rev. D 70, 043009 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.043009
54. D. Jain, J.S. Alcaniz, and A. Dev, Nucl. Phys. NUPBBO 0550-3213 B732, 379 (2006); 10.1016/j.nuclphysb.2005.11.002
55. M. Takada and B. Jain, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 348, 897 (2004); 10.1111/j.1365-2966.2004.07410.x
56. J. Albert (SNAP Collaboration), arXiv:astro-ph/0507460;
57. A. Refregier, arXiv:astro-ph/0610062.
58. M. Tegmark (SDSS Collaboration), Phys. Rev. D 69, 103501 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.69.103501
59. K. Abazajian (SDSS Collaboration), Astron. J. 128, 502 (2004); ANJOAA 0004-6256 10.1086/421365
60. U. Seljak (SDSS Collaboration), Phys. Rev. D 71, 103515 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.103515
61. M. Tegmark, Phys. Rev. D 74, 123507 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.123507
62. A. Shirata, T. Shiromizu, N. Yoshida, and Y. Suto, Phys. Rev. D 71, 064030 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.064030
63. O. Lahav, P.B. Lilje, J.R. Primack, and M.J. Rees, Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 251, 128 (1991).
64. L.M. Wang and P.J. Steinhardt, Astrophys. J. 508, 483 (1998). ASJOAB 0004-637X 10.1086/306436
65. E.V. Linder, Phys. Rev. D 72, 043529 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.043529
66. D. Huterer and E.V. Linder, Phys. Rev. D 75, 023519 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.75.023519
67. E.V. Linder and R.N. Cahn, arXiv:astro-ph/0701317.
68. L. Amendola, Phys. Rev. Lett. 93, 181102 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.181102
69. L. Amendola, Phys. Rev. D 62, 043511 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.62.043511
70. G. Esposito-Farese and D. Polarski, Phys. Rev. D 63, 063504 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.063504
71. R. Gannouji, D. Polarski, A. Ranquet, and A.A. Starobinsky, J. Cosmol. Astropart. Phys. 1475-7516 09 (2006) 016. 10.1088/1475-7516/2006/09/016
72. L. Amendola, R. Gannouji, D. Polarski, and S. Tsujikawa, Phys. Rev. D 75, 083504 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.083504
73. S. Tsujikawa, Phys. Rev. D 72, 083512 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.083512
74. J.c. Hwang and H. Noh, Phys. Rev. D 71, 063536 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.063536
75. J.c. Hwang H. Noh Phys. Rev. D 66, 084009 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.084009
76. B. Boisseau, G. Esposito-Farese, D. Polarski, and A.A. Starobinsky, Phys. Rev. Lett. 85, 2236 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.2236
77. C. Schimd, J.P. Uzan, and A. Riazuelo, Phys. Rev. D 71, 083512 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.083512
78. C. Brans and R.H. Dicke, Phys. Rev. 124, 925 (1961). PHRVAO 0031-899X 10.1103/PhysRev.124.925
79. T. Damour and K. Nordtvedt, Phys. Rev. D 48, 3436 (1993). PRVDAQ 0556-2821 10.1103/PhysRevD.48.3436
80. B. Bertotti, L. Iess, and P. Tortora, Nature (London) NATUAS 0028-0836 425, 374 (2003). 10.1038/nature01997
81. T. Chiba, Phys. Lett. B 575, 1 (2003). PYLBAJ 0370-2693 10.1016/j.physletb.2003.09.033
82. L. Amendola, D. Polarski, and S. Tsujikawa, Phys. Rev. Lett. 98, 131302 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.131302
83. L. Amendola and S. Tsujikawa, arXiv:0705.0396.
84. G.J. Olmo, Phys. Rev. Lett. 95, 261102 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.261102
85. J.A.R. Cembranos, Phys. Rev. D 73, 064029 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.73.064029
86. A.L. Erickcek, T.L. Smith, and M. Kamionkowski, Phys. Rev. D 74, 121501 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.74.121501
87. V. Faraoni, Phys. Rev. D 74, 023529 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.74.023529
88. A.F. Zakharov, A.A. Nucita, F. De Paolis, and G. Ingrosso, Phys. Rev. D 74, 107101 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.74.107101
89. I. Navarro and K. Van Acoleyen, J. Cosmol. Astropart. Phys. 1475-7516 02 (2007) 022; 10.1088/1475-7516/2007/02/022
90. G. Allemandi and M.L. Ruggiero, arXiv:astro-ph/0610661;
91. X.H. Jin, D.J. Liu, and X.Z. Li, arXiv:astro-ph/0610854;
92. T. Chiba, T.L. Smith, and A.L. Erickcek, arXiv:astro-ph/0611867 [Phys. Rev. D (to be published)]; PRVDAQ 0556-2821
93. P.J. Zhang, arXiv:astro-ph/0701662 [Phys. Rev. D (to be published)]; PRVDAQ 0556-2821
94. W. Hu and I. Sawicki, arXiv:0705.1158.
95. A. Sen, J. High Energy Phys. JHEPFG 1029-8479 04 (2002) 048; 10.1088/1126-6708/2002/04/048
96. T. Padmanabhan, Phys. Rev. D 66, 021301 (2002); PRVDAQ 0556-2821 10.1103/PhysRevD.66.021301
97. E.J. Copeland, M.R. Garousi, M. Sami, and S. Tsujikawa, Phys. Rev. D 71, 043003 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.043003
98. K.i. Maeda, Phys. Rev. D 39, 3159 (1989). PRVDAQ 0556-2821 10.1103/PhysRevD.39.3159
99. L. Amendola, Phys. Rev. D 69, 103524 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.103524
100. F. Piazza and S. Tsujikawa, J. Cosmol. Astropart. Phys. 1475-7516 07 (2004) 004; 10.1088/1475-7516/2004/07/004
101. S. Tsujikawa and M. Sami, Phys. Lett. B 603, 113 (2004). PYLBAJ 0370-2693 10.1016/j.physletb.2004.10.023
102. L. Amendola, M. Quartin, S. Tsujikawa, and I. Waga, Phys. Rev. D 74, 023525 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.023525
103. M. Gasperini and G. Veneziano, Phys. Rep. 373, 1 (2003). PRPLCM 0370-1573 10.1016/S0370-1573(02)00389-7
104. M. Gasperini, F. Piazza, and G. Veneziano, Phys. Rev. D 65, 023508 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.65.023508
105. T. Damour, F. Piazza, and G. Veneziano, Phys. Rev. Lett. 89, 081601 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.081601
106. S. Nojiri, S.D. Odintsov, and M. Sasaki, Phys. Rev. D 71, 123509 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.123509
107. M. Sami, A. Toporensky, P.V. Tretjakov, and S. Tsujikawa, Phys. Lett. B 619, 193 (2005); PYLBAJ 0370-2693 10.1016/j.physletb.2005.06.017
108. G. Calcagni, S. Tsujikawa, and M. Sami, Classical Quantum Gravity CQGRDG 0264-9381 22, 3977 (2005); 10.1088/0264-9381/22/19/011
109. S. Nojiri, S.D. Odintsov, and M. Sami, Phys. Rev. D 74, 046004 (2006); PRVDAQ 0556-2821 10.1103/PhysRevD.74.046004
110. S. Tsujikawa, Ann. Phys. (N.Y.) APNYA6 0003-4916 15, 302 (2006); 10.1002/andp.200510189
111. B.M.N. Carter and I.P. Neupane, J. Cosmol. Astropart. Phys. 1475-7516 06 (2006) 004;
112. T. Koivisto and D.F. Mota, Phys. Lett. B 644, 104 (2007); PYLBAJ 0370-2693 10.1016/j.physletb.2006.11.048
113. T. Koivisto D.F. Mota Phys. Rev. D 75, 023518 (2007); PRVDAQ 0556-2821 10.1103/PhysRevD.75.023518
114. S. Tsujikawa and M. Sami, J. Cosmol. Astropart. Phys. 1475-7516 01 (2007) 006; 10.1088/1475-7516/2007/01/006
115. B.M. Leith and I.P. Neupane, J. Cosmol. Astropart. Phys. 1475-7516 05 (2007) 019. 10.1088/1475-7516/2007/05/019
116. L. Amendola, C. Charmousis, and S.C. Davis, J. Cosmol. Astropart. Phys. 1475-7516 12 (2006) 020. 10.1088/1475-7516/2006/12/020
117. L. Amendola, C. Charmousis, and S.C. Davis, arXiv:0704.0175.
118. A. De Felice, M. Hindmarsh, and M. Trodden, J. Cosmol. Astropart. Phys. 1475-7516 08 (2006) 005; 10.1088/1475-7516/2006/08/005
119. G. Calcagni, B. de Carlos and A. De Felice, Nucl. Phys. NUPBBO 0550-3213 B752, 404 (2006); 10.1016/j.nuclphysb.2006.06.020
120. Z.K. Guo, N. Ohta, and S. Tsujikawa, Phys. Rev. D 75, 023520 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.023520