Testing modified gravity models with recent cosmological observations

Science China: Physics, Mechanics and Astronomy

Volumn 55, Issue 12, 2012, Pages 2244-2258

  Zhang, Wenshuai ^a,b   Cheng, Cheng ^b   Huang, Qingguo ^b,c   Li, Miao ^b,c   Li, Song ^b   Li, Xiaodong ^a,b   Wang, Shuang ^a,b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b INSTITUTE OF THEORETICAL PHYSICS   (China)

^c INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

cosmic acceleration; dark energy experiment; growth factor; modified gravity

Indexed keywords

ACOUSTIC OSCILLATION; COSMIC MICROWAVE BACKGROUND ANISOTROPIES; COSMOLOGICAL CONSTANTS; DARK ENERGY; GROWTH FACTOR; HUBBLE SPACE TELESCOPES; SLOAN DIGITAL SKY SURVEY; WILKINSON MICROWAVE ANISOTROPY PROBE;

FERMIONS;

COSMOLOGY;

EID: 84876824204     PISSN: 16747348     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11433-012-4945-9     Document Type: Article

References (201)

1. Riess A G, Filippenko A V, Challis P, et al. Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron J, 1998, 116: 1009-1038; (Pubitemid 128138905)
2. Perlmutter S, Aldering G, Goldhaber G, et al. Measurements of Omega and Lambda from 42 high redshift supernovae. Astrophys J, 1999, 517: 565-586
3. Peebles P J E, Ratra B. The Cosmological constant and dark energy. Rev Mod Phys, 2003, 75: 559-606; (Pubitemid 36719930)
4. Padmanabhan T. Cosmological constant: The weight of the vacuum. Phys Rep, 2003, 380: 235-320;
5. Copeland E J, Sami M, Tsujikawa S. Dynamics of dark energy. Int J Mod Phys D, 2006, 15: 1753-1936;
6. Albrecht A, Gary B, Robert C, et al. Report of the dark energy task force. arXiv:astro-ph/0609591;
7. Frieman J, Turner M, Huterer D. Dark energy and the accelerating universe. Ann Rev Astron Astrophys, 2008, 46: 385-432;
8. Tsujikawa S. Dark energy: Investigation and modeling. arXiv:1004.1493;
9. Li M, Li X D, Wang S, et al. Dark Energy. Commun Theor Phys, 2011, 56: 525-604
10. Ratra B, Peebles P J E. Cosmological consequences of a rolling homogeneous scalar field. Phys Rev D, 1988, 37: 3406-3427;
11. Peebles P J E, Ratra B. Cosmology with a time variable cosmological constant. Astrophys J, 1988, 325: L17-L20;
12. Wetterich C. Cosmology and the fate of dilatation symmetry. Nucl Phys B, 1988, 302: 668-696;
13. Zlatev I,Wang L, Steinhardt P J. Quintessence, cosmic coincidence, and the cosmological constant. Phys Rev Lett, 1999, 82: 896-899; (Pubitemid 129571808)
14. Rahvar S, Movahed M S. Power-law parameterized quintessence model. Phys Rev D, 2007, 75: 023512
15. Caldwell R R. A phantom menace? Phys Lett B, 2002, 545: 23-29;
16. Carroll S M, Hoffman M, Trodden M. Can the dark energy equationof-state parameter w be less than -1? Phys Rev D, 2003, 68: 023509;
17. Huang T T, Wu P X, Yu H W. Observations favor the crossing of phantom divide lines. Sci China-Phys Mech Astron, 2010, 53(3): 562-566
18. Armendariz-Picon C, Damour T, Mukhanov V. k-inflation. Phys Lett B, 1999, 458: 209-218;
19. Armendariz-Picon C, Mukhanov V, Steinhardt P J. Essentials of k essence. Phys Rev D, 2011, 63: 103510;
20. Chiba T, Okabe T, Yamaguchi M. Kinetically driven quintessence. Phys Rev D, 2000, 62: 023511
21. Kamenshchik A Y, Moschella U, Pasquier V. An alternative to quintessence. Phys Lett B, 2001, 511: 265-268; (Pubitemid 32613282)
22. Bento M C, Bertolami O, Sen A A. Generalized Chaplygin gas, accelerated expansion and dark energy matter unification. Phys Rev D, 2002, 66: 043507;
23. Zhang X,Wu F Q, Zhang J. A New generalized Chaplygin gas as a scheme for unification of dark energy and dark matter. J Cosmol Astropart Phys, 2006, 0601: 003;
24. Li S, Ma Y G, Chen Y. Dynamical evolution of interacting modified Chaplygin gas. Int J Mod Phys D, 2009, 18: 1785-1800
25. Padmanabhan T. Accelerated expansion of the universe driven by tachyonic matter. Phys Rev D, 2002, 66: 021301;
26. Bagla J S, Jassal H K, Padmanabhan T. Accelerated expansion of the universe driven by tachyonic matter. Phys Rev D, 2003, 67: 063504
27. Li M. A model of holographic dark energy. Phys Lett B, 2004, 603: 1-5;
28. Huang Q G, Li M. The holographic dark energy in a non-flat universe. J Cosmol Astropart Phys, 2004, 0408: 013;
29. Huang Q G, Gong Y G. Supernova constraints on a holographic dark energy model. J Cosmol Astropart Phys, 2004, 0408: 006;
30. Huang Q G, Li M. Anthropic principle favors the holographic dark energy. J Cosmol Astropart Phys, 2005, 0503: 001;
31. Zhang X, Wu F Q. Constraints on holographic dark energy from Type Ia supernova observations. Phys Rev D, 2005, 72: 043524;
32. Wang B, Abdalla E, Su R K. Constraints on the dark energy from holography. Phys Lett B, 2005, 611: 21-26;
33. Wang B, Lin C Y, Abdalla E. Constraints on the interacting holographic dark energy model. Phys Lett B, 2006, 637: 357-361; (Pubitemid 43795933)
34. Zhang J, Zhang X, Liu H Y. Holographic dark energy in a cyclic universe. Eur Phys J C, 2007, 52: 693-699;
35. Feng C J. Holographic cosmological constant and dark energy. Phys Lett B, 2008, 663: 367-371;
36. Ma Y Z, Gong Y, Chen X L. Features of holographic dark energy under the combined cosmological constraints. Eur Phys J C, 2009, 60: 303-315;
37. Li M, Li X D, Lin C S, et al. Holographic gas as dark energy. Commun Theor Phys, 2009, 51: 181-186;
38. Li M, Li X D, Wang S, et al. Holographic dark energy models: A comparison from the latest observational data. J Cosmol Astropart Phys, 2009, 0906: 036;
39. Li M, Li X D,Wang S, et al. Probing interaction and spatial curvature in the holographic dark energy model. J Cosmol Astropart Phys, 2009, 0912: 014;
40. Zhang X. Heal the world: Avoiding the cosmic doomsday in the holographic dark energy model. Phys Lett B, 2010, 683: 81-87;
41. Wu Y B, Yang W Q, Wang C, et al. Modified Chaplygin gas as an interacting holographic dark energy model. Sci China-Phys Mech Astron, 2010, 53(4): 598-606
42. Wei H, Cai R G. Statefinder diagnostic and w - w′ analysis for the agegraphic dark energy models without and with interaction. Phys Lett B, 2007, 655: 1-6;
43. Cai R G. A dark energy model characterized by the age of the universe. Phys Lett B, 2007, 657: 228-231;
44. Wei H, Cai R G. A new model of agegraphic dark energy. Phys Lett B, 2008, 660: 113-117;
45. Wei H, Cai R G. Cosmological constraints on new agegraphic dark energy. Phys Lett B, 2008, 663: 1-6;
46. Zhang J, Zhang X, Liu H. Agegraphic dark energy as a quintessence. Eur Phys J C, 2008, 54: 303-309;
47. Wu J P, Ma D Z, Ling Y. Quintessence reconstruction of the new agegraphic dark energy model. Phys Lett B, 2008, 663: 152-159
48. Nojiri S, Odinitsov S D. Unifying phantom inflation with late-time acceleration: Scalar phantom-non-phantom transition model and generalized holographic dark energy. Gen Rel Grav, 2006, 38: 1285-1304; (Pubitemid 44325387)
49. Gao C, Wu F, Chen X, et al. A holographic dark energy model from Ricci scalar curvature. Phys Rev D, 2009, 79: 043511;
50. Feng C J. Statefinder diagnosis for Ricci dark energy. Phys Lett B, 2008, 670: 231-234;
51. Feng C J. Reconstructing quintom from Ricci dark energy. Phys Lett B, 2009, 672: 94-97;
52. Granda L N, Oliveros A. Infrared cut-off proposal for the holographic density. Phys Lett B, 2008, 669: 275-277;
53. Zhang X. Holographic Ricci dark energy: Current observational constraints, quintom feature, and the reconstruction of scalar-field dark energy. Phys Rev D, 2009, 79: 103509;
54. Feng C J, Zhang X. Holographic Ricci dark energy in Randall-Sundrum braneworld: Avoidance of big rip and steady state future. Phys Lett B, 2009, 680: 399-403;
55. Li M, Li X D, Zhang X. Comparison of dark energy models: A perspective from the latest observational data. Sci China-Phys Mech Astron, 2010, 53(9): 1631-1645;
56. Wang T S, Liang N. Constraints on Cardassian universe from Gamma ray bursts. Sci China-Phys Mech Astron, 2010, 53(9): 1720-1725
57. Wei H, Cai R G, Zeng D F. Hessence: A new view of quintom dark energy. Class Quant Grav, 2005, 22: 3189-3202; (Pubitemid 41168987)
58. Wei H, Cai R G. Cosmological evolution of hessence dark energy and avoidance of big rip. Phys Rev D, 2005, 72: 123507
59. Zhang Y, Xia T Y, Zhao W. Yang-Mills condensate dark energy coupled with matter and radiation. Class Quant Grav, 2007, 24: 3309-3338;
60. Xia T Y, Zhang Y. 2-loop quantum Yang-Mills condensate as dark energy. Phys Lett B, 2007, 656: 19-24;
61. Wang S, Zhang Y, Xia T Y. 3-loop Yang-Mills condensate dark energy model. J Cosmol Astropart Phys, 2008, 10: 037;
62. Wang S, Zhang Y. Alleviation of cosmic age problem in interacting dark energy model. Phys Lett B, 2008, 669: 201-205;
63. Zhai Z X, Liu W B. Constraints of f (R) gravity in Palatini approach with observational Hubble data. Sci China-Phys Mech Astron, 2011, 54(8): 1378-1383
64. Onemli V K, Woodard R P. Superacceleration from massless, minimally coupled phi4. Class Quantum Grav, 2002, 19: 4607; (Pubitemid 37035580)
65. Onemli V K, Woodard R P. Quantum effects can render w < -1 on cosmological scales. Phys Rev D, 2004, 70: 107301;
66. Kahya E O, Onemli V K. Quantum stability of a w < -1 phase of cosmic acceleration. Phys Rev D, 2007, 76: 043512
67. Weinberg S. The cosmological constant problem. Rev Mod Phys, 1989, 61: 1-23;
68. Carroll S M, Press W H, Turner E L. The cosmological constant. Ann Rev Astron Astrophys, 1992, 30, 499-542;
69. Sahni V, Starobinsky A. The case for a positive cosmological Lambda term. Int J Mod Phys D, 2000, 9: 373-444;
70. Carroll S M. The cosmological constant. Living Rev Rel, 2001, 4: 1-80
71. Nojiri S, Odinitsov S D. Unified cosmic history in modified gravity: From F(R) theory to Lorentz non-invariant models. Phys Rep, 2011, 505: 59-144
72. Clifton T, Ferreira P G, Padilla A, et al. Modified gravity and cosmology. arXiv:1106.2476
73. Dvali G R, Gabadadze G, Porrati M. 4-D gravity on a brane in 5-D Minkowski space. Phys Lett B, 2000, 485: 208-214
74. Hu W, Sawicki I. Models of f (R) cosmic acceleration that evade solarsystem tests. Phys Rev D, 2007, 76: 064004
75. Starobinsky A. Disappearing cosmological constant in f (R) gravity. J Exp Theor Phys Lett, 2007, 86: 157-163
76. Bengochea G R, Ferraro R. Dark torsion as the cosmic speed-up. Phys Rev D, 2009, 79: 124019
77. Linder E V. Einstein's other gravity and the acceleration of the universe. Phys Rev D, 2010, 81: 127301
78. Yang R J. New types of f (T) gravity. Eur Phys J C, 2010, 71: 1797; Yang R J. Conformal transformation in f (T) theories. Europhys Lett, 2011, 93: 60001
79. Milgrom M. A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis. Astrophys J, 1983, 270: 365-370;
80. Bekenstein J, Milgrom M. Does the missing mass problem signal the breakdown of Newtonian gravity? Astrophys J, 1984, 286: 7-14;
81. Bekenstein J D. New gravitational theories as alternatives to dark matter. In: Sato H, Nakamura T, eds. Proceedings of the Sixth Marcel Grossman Meeting on General Relativity. Singapore: World Scientific, 1992
82. Bekenstein J D. Relativistic gravitation theory for theMOND paradigm. Phys Rev D, 2004, 70: 083509 (Pubitemid 44947542)
83. Brans C, Dicke R H. Mach's principle and a relativistic theory of gravitation. Phys Rev, 1961, 124: 925-935;
84. Amendola L. Scaling solutions in general nonminimal coupling theories. Phys Rev D, 1999, 60: 043501
85. Zwiebach B. Curvature squared terms and string theories. Phys Lett B, 1985, 156: 315-317
86. Horava P. Quantum gravity at a Lifshitz point. Phys Rev D, 2009, 79: 084008;
87. Saridakis E N. Horava-Lifshitz dark energy. Eur Phys J C, 2010, 67: 229-235
88. Cahill R T, Rothall D. Discovery of uniformly expanding universe. Prog Phys, 2012, 1: 65-68;
89. Cahill R T, Kerrigan D J. Dynamical space: Supermassive galactic black holes and cosmic filaments. Prog Phys, 2011, 4: 79-82
90. Nojiri S, Odintsov S D. Introduction to modified gravity and gravitational alternative for dark energy. Int J Geom Meth Mod Phys, 2007, 4: 115-146;
91. Sotiriou T P, Faraoni V. f (R) theories of gravity. Rev Mod Phys, 2010, 82: 451-497;
92. Felice A D, Tsujikawa S. f (R) theories. Living Rev Rel, 2010, 13: 3;
93. Tsujikawa S.Modified gravity models of dark energy. Lect Notes Phys, 2010, 800: 99-145
94. Sachs R K, Wolfe A M. Perturbations of a cosmological model and angular variations of the microwave background. Astrophys J, 1967, 147: 73-90, reprinted Gen Rel Grav, 2007, 39: 1929-1961
95. Rubin D, Linder E V, Kowalski M, et al. Looking beyond Lambda with the union supernova compilation. Astrophys J, 2009, 695: 391-403
96. Guo Z K, Zhu Z H, Alcaniz J S, et al. Constraints on the dgp model from recent supernova observations and baryon acoustic oscillations. Astrophys J, 2006, 646: 1-7 (Pubitemid 44258272)
97. Song Y S, Peiris H, Hu W. Cosmological constraints on f (R) acceleration models. Phys Rev D, 2007, 76: 063517;
98. Zhao G B, Tommaso G, Levon P, et al. Probing modifications of general relativity using current cosmological observations. Phys Rev D, 2010, 81: 103510;
99. Bamba K, Geng C Q, Lee C C. Cosmological evolution in exponential gravity. arXiv:1005.4574;
100. Alal U, Varun S, Alexei A S. Reconstructing cosmological matter perturbations using standard candles and rulers. Astrophys J, 2009, 704: 1086-1097;
101. Martinelli M, Melchiorri A, Amendola L. Cosmological constraints on the Hu-Sawicki modified gravity scenario. Phys Rev D, 2009, 79: 123516;
102. Wu P X, Yu H W. Observational constraints on f (T) theory. Phys Lett B, 2010, 693: 415-420
103. Motohashi H, Starobinsky A, Yokoyama J. f (R) gravity and its cosmological implications. Int J Mod Phys D, 2011, 20: 1347-1355;
104. Ali A, Gannouji R, SamiM, et al. Background cosmological dynamics in f (R) gravity and observational constraints. Phys Rev D, 2010, 81: 104029;
105. Carvalho F C, Santos E M, Alcaniz J S, et al. Cosmological constraints from Hubble parameter on f (R) cosmologies. J Cosmol Astropart Phys, 2008, 0809: 008;
106. Dev A, Jain D, Jhingan S, et al. Delicate f (R) gravity models with disappearing cosmological constant and observational constraints on the model parameters. Phys Rev D, 2008, 78: 083515;
107. Santos J, Alcaniz J S, Carvalho F C, et al. Latest supernovae constraints on f (R) cosmologies. Phys Lett B, 2008, 669: 14-18;
108. Yang L, Lee C C, Luo L W, et al. Observational constraints on exponential gravity. Phys Rev D, 2010, 82: 103515;
109. Hirano K, Komiya Z. Observational constraints on phantom crossing DGP gravity. Int J Mod Phys D, 2011, 20: 1-16;
110. Wan H Y, Yi Z L, Zhang T J. Constraints on the DGP universe using observational Hubble parameter. Phys Lett B, 2007, 651: 352-356;
111. Lue A, Scoccimarro R, Starkman G. Probing Newton's constant on vast scales: DGP gravity, cosmic acceleration and large scale structure. Phys Rev D, 2004, 69: 124015;
112. Acquaviva V, Hajian A, Spergel D N, et al. Next generation redshift surveys and the origin of cosmic acceleration. Phys Rev D, 2008, 78: 043514
113. Gong Y G. The growth factor parameterization and modified gravity. Phys Rev D, 2008, 78: 123010;
114. Polarski D, Gannouji R. On the growth of linear perturbations. Phys Lett B, 2008, 660: 439-443;
115. Linder E V. Cosmic growth history and expansion history. Phys Rev D, 2005, 72: 043529;
116. Koyama K, Maartens R. Structure formation in the dgp cosmological model. J Cosmol Astropart Phys, 2006, 0601: 016;
117. Koivisto T, Mota D F. Dark energy anisotropic stress and large scale structure formation. Phys Rev D, 2006, 73: 083502
118. Mota D F, Kristiansen J R, Koivisto T, et al. Constraining dark energy anisotropic stress. Mon Not R Astron Soc, 2007, 382: 793-800;
119. Daniel S, Caldwell R, Cooray A, et al. Large scale structure as a probe of gravitational slip. Phys Rev D, 2008, 77: 103513;
120. Knox L, Song Y S, Tyson J A. Distance-redshift and growth-redshift relations as two windows on acceleration and gravitation: Dark energy or new gravity? Phys Rev D, 2006, 74: 023512;
121. Ishak M, Upadhye A, Spergel D N. Probing cosmic acceleration beyond the equation of state: Distinguishing between dark energy and modified gravity models. Phys Rev D, 2006, 74: 043513;
122. Laszlo I, Bean R. Nonlinear growth in modified gravity theories of dark energy. Phys Rev D, 2008, 77: 024048;
123. Jain B, Zhang P. Observational tests of modified gravity. Phys Rev D, 2008, 78: 063503;
124. Hu W, Sawicki I. A parameterized post-Friedmann framework for modified gravity. Phys Rev D, 2007, 76: 104043;
125. Azizi T, Movahed M S, Nozari K. Observational constraints on the normal branch of a warped DGP cosmology. New Astron, 2012, 17: 424-432;
126. Baghram S, Movahed M S, Rahvar S. Observational tests of a two parameter power-law class modified gravity in Palatini formalism. Phys Rev D, 2009, 80: 064003;
127. Movahed M S, Baghram S, Rahvar S. Consistency of f(R) = □ {R2 - R02} gravity with the cosmological observations in Palatini formalism. Phys Rev D, 2007, 76: 044008;
128. Movahed M S, Farhang M, Rahvar S. Recent observational constraints on the DGP modified gravity. Int J Theor Phys, 2009, 48: 1203-1230
129. Tsujikawa S. Matter density perturbations and effective gravitational constant in modified gravity models of dark energy. Phys Rev D, 2007, 76: 023514
130. Tsujikawa S. Observational signatures of f (R) dark energy models that satisfy cosmological and local gravity constraints. Phys Rev D, 2008, 77: 023507
131. Conley A, Guy J, Sullivan M, et al. Supernova constraints and systematic uncertainties from the first 3 years of the supernova legacy survey. Astrophys J Suppl Ser, 2011, 192: 1
132. Komatsu E, Smith K M, Dunkley J, et al. Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Cosmological interpretation. Astrophys J Suppl Ser, 2011, 192: 18
133. Percival W J, Reid B A, Eisenstein D J, et al. Baryon acoustic oscillations in the sloan digital sky survey data release 7 galaxy sample. Mon Not R Astron Soc, 2010, 401: 2148-2168
134. Riess A G, Macri L, Casertano S, et al. A 3% solution: Determination of the Hubble constant with the Hubble space telescope and wide field camera 3. Astrophys J, 2011, 730: 119
135. Akaike H. A new look at the statistical model identification. Autom Control IEEE Trans, 1974, 19: 716-723
136. Schwarz G. Estimating the dimension of a model. Ann Stat, 1978, 6: 461-464
137. Starobinsky A. How to determine an effective potential for a variable cosmological term. J Exp Theor Phys Lett, 1998, 68: 757-763 (Pubitemid 128667033)
138. Lewis A, Bridle S. Cosmological parameters from CMB and other data: A Monte Carlo approach. Phys Rev D, 2002, 66: 103511 (Pubitemid 44659477)
139. Liddle A R. How many cosmological parameters? Mon Not R Astron Soc, 2004, 351: L49-L53 (Pubitemid 38883523)
140. Godlowski W, Szydlowski M. Which cosmological model with dark energy - phantom or lambda-CDM. Phys Lett B, 2005, 623: 10-16 (Pubitemid 41512170)
141. Biesiada M. Information-theoretic model selection applied to supernovae data. J Cosmol Astropart Phys, 2007, 0702: 003
142. Magueijo J, Sorkin R D. Occam's razor meets WMAP. Mon Not R Astron Soc, 2007, 377: L39-L43
143. Liddle A R. Information criteria for astrophysical model selection. Mon Not R Astron Soc Lett, 2007, 377: L74-L78
144. Guy J, Sullivan M, Conley A, et al. The supernova legacy survey 3-year sample: Type Ia supernovae photometric distances and cosmological constraints. arXiv:1010.4743
145. Hamuy M, Phillips M M, Suntzeff N B, et al. BVRI light curves for 29 Type Ia supernovae. Astron J, 1996, 112: 2408-2437; (Pubitemid 127002100)
146. Riess A G, Kirshner R P, Schmidt B P, et al. BV RI light curves for 22 type Ia supernovae. Astron J, 1999, 117: 707-724;
147. Jha S, Robert P K, Peter C, et al. Ubvri light curves of 44 type ia supernovae. Astron J, 2006, 131: 527-554; (Pubitemid 43166250)
148. Contreras C, Mario H, Phillips M M, et al. The carnegie supernova project: First photometry data release of low-redshift type Ia supernovae. Astron J, 2010, 139: 519-539
149. Hicken M, Wood-Vasey W M, Blondin S, et al. Improved dark energy constraints from ?100 new CfA supernova type Ia light curves. Astrophys J, 2009, 700: 1097-1140; Hicken M, Challis P, Jha S, et al. CfA3: 185 type Ia supernova light curves from the CfA. Astrophys J, 2009, 700: 331-357
150. Holtzman J A, Marriner J, Kessler R, et al. The sloan digital sky survey-II photometry and supernova IA light curves from the 2005 data. Astron J, 2008, 136}: 2306-23
151. Riess A G, Louis-Gregory S, Stefano C, et al. New Hubble space telescope discoveries of type Ia supernovae at z >=1: Narrowing constraints on the early behavior of dark energy. Astrophys J, 2007, 659: 98-121
152. Sullivan M, Guy J, Conley A, et al. SNLS3: Constraints on dark energy combining the supernova legacy survey three year data with other probes. Astrophys J, 2011, 737: 102
153. Li X D, Li S, Wang S, et al. Probing cosmic acceleration by using the SNLS3 SNIa dataset. J Cosmol Astropart Phys, 2011, 1107: 011
154. Wang Y, Chuang C H, Mukherjee P. A comparative study of dark energy constraints from current observational data. arXiv:1109.3172
155. Gong Y G, Gao Q, Zhu Z H. The effect of different observational data on the constraints of cosmological parameters. arXiv:1110.6535
156. Li Z X, Wu P X, Yu H W. Testing nonstandard cosmological models with SNLS3 supernova data and other cosmological probes. arXiv:1109.6125
157. Sullivan M, Conley A, Howell D A, et al. The dependence of type Ia supernova luminosities on their host galaxies. Mon Not R Astron Soc, 2010, 406: 782-802
158. Hu W, Sugiyama N. Small scale cosmological perturbations: An analytic approach. Astrophys J, 1996, 471: 542-570 (Pubitemid 126148549)
159. Bond J R, Efstathiou G, Tegmark M. Forecasting cosmic parameter errors from microwave background anisotropy experiments. Mon Not R Astron Soc, 1997, 291: L33-L41
160. Eisenstein D J, Zehavi I, Hogg D W, et al. Detection of the baryon acoustic peak in the large-scale correlation function of SDSS luminous red galaxies. Astrophys J, 2005, 633: 560-574 (Pubitemid 41691965)
161. Eisenstein D J, Hu W. Baryonic features in the matter transfer function. Astrophys J, 1998, 496: 605
162. Freedman W J, Madore B F. The Hubble constant. arXiv:1004.1856
163. Hu W. Dark energy probes in light of the CMB. ASP Conf Ser, 2005, 339: 215
164. Boisseau B, Esposito-Farse G, Polarski D, et al. Reconstruction of a scalar tensor theory of gravity in an accelerating universe. Phys Rev Lett, 2000, 85: 2236-2239
165. Porto C D, Amendola L. Observational constraints on the linear fluctuation growth rate. Phys Rev D, 2008, 77: 083508
166. Nesseris S, Perivolaropoulos L. Testing Lambda CDM with the growth function delta(a): Current constraints. Phys Rev D, 2008, 77: 023504
167. Guzzo L, Pierleoni M, Meneux B, et al. A test of the nature of cosmic acceleration using galaxy redshift distortions. Nature, 2008, 451: 541-545 (Pubitemid 351186274)
168. Deffayet C. Cosmology on a brane in Minkowski bulk. Phys Lett B, 2001, 502: 199-208; Deffayet C, Dvali G R, Gabadadze G. Accelerated universe from gravity leaking to extra dimensions. Phys Rev D, 2002, 65: 044023 (Pubitemid 32242161)
169. Colless M, Gavin D, Steve M, et al. The 2dF galaxy redshift survey: Spectra and redshifts. Mon Not R Astron Soc, 2001, 328: 1039-1063 (Pubitemid 33620996)
170. Tegmark M, Eisenstein D J, Strauss M A, et al. Cosmological constraints from the SDSS luminous red galaxies. Phys Rev D, 2006, 74: 123507 (Pubitemid 44907494)
171. Ross N P, da Ângela J, Shanks T, et al. The 2dF-SDSS LRG and QSO survey: The 2-point correlation function and redshift-space distortions. Mon Not R Astron Soc, 2007, 381: 573-578
172. da Ângela J, Shanks T, Croom S M. The 2dF-SDSS LRG and QSO survey: QSO clustering and the L-z degeneracy. Mon Not R Astron Soc, 2008, 383: 565-580
173. McDonald P, Seljak U, Cen R, et al. The linear theory power spectrum from the Lyman-alpha forest in the sloan digital sky survey. Astrophys J, 2005, 635: 761-783 (Pubitemid 43088152)
174. Viel M, Haehnelt MG, Springel V. Inferring the dark matter power spectrum from the Lyman-alpha forest in high-resolution QSO absorption spectra. Mon Not R Astron Soc, 2004, 354: 684-694 (Pubitemid 39525429)
175. Viel M, Haehnelt M G, Springel V. Cosmological and astrophysical parameters from the SDSS flux power spectrum and hydrodynamical simulations of the Lyman-alpha forest. Mon Not R Astron Soc, 2006, 365: 231-244 (Pubitemid 43423500)
176. Lue A, Scoccimarro R, Starkman G. Differentiating between modified gravity and dark energy. Phys Rev D, 2004, 69: 044005 (Pubitemid 44643183)
177. Fang W J, Wang S, Hu W, et al. Challenges to the DGP model from Horizon-scale growth and geometry. Phys Rev D, 2008, 78: 103509;
178. Fairbairn M, Goodbar A. Supernova limits on brane world cosmology. Phys Lett B, 2006, 642: 432-435; (Pubitemid 44692992)
179. Maartens R, Majerotto E. Observational constraints on self-accelerating cosmology. Phys Rev D, 2006, 74: 023004;
180. Alam U, Sahni V. Confronting braneworld cosmology with supernova data and baryon oscillations. Phys Rev D, 2006, 73: 084024;
181. Song Y S, Sawicki I, Hu W. Large-scale tests of the DGP model. Phys Rev D, 2007, 75: 064003;
182. Schmidt F. Self-consistent cosmological simulations of DGP braneworld gravity. Phys Rev D, 2009, 80: 043001
183. Zheng R, Huang Q G. Growth factor in gravity. J Cosmol Astropart Phys, 2011, 1103: 002
184. Fu X Y, Wu P, Yu H. The growth factor of matter perturbations in f (R) gravity. Eur Phys J C, 2010, 68: 271-276
185. Capozziello S, Tsujikawa S. Solar system and equivalence principle constraints on f (R) gravity by chameleon approach. Phys Rev D, 2008, 77: 107501
186. Davis T M, Mortsell E, Sollerman J, et al. Scrutinizing exotic cosmological models using ESSENCE supernova data combined with other cosmological probes. Astrophys J, 2007, 666: 716-725;
187. Sollerman J, Mortsell E, Davis T M, et al. First-year sloan digital sky survey-II (SDSS-II) supernova results: Constraints on non-standard cosmological models. Astrophys J, 2009, 703: 1374-1385;
188. Li M, Li X D, Zhang X. Comparison of dark energy models: A perspective from the latest observational data. Sci China-Phys Mech Astron, 2010, 53: 1631-1645;
189. Wei H. Observational constraints on cosmological models with the updated long gamma-ray bursts. J Cosmol Astropart Phys, 2010, 1008: 020
190. Schaefer B E. The Hubble diagram to redshift > 6 from 69 gammaray bursts. Astrophys J, 2007, 660: 16-46;
191. Ghirlanda G, Ghisellini G, Firmani C. Gamma ray bursts as standard candles to constrain the cosmological parameters. New J Phys, 2006, 8: 123;
192. Liang E W. Gammaray bursts in the Swift-Fermi era: Confronting data with theory. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 14-23;
193. Xin L P, Deng J S, Zheng W K, et al. Three years' systematic GRB follow-up at the Xinglong Observatory and the optical afterglow observations of GRB 080330. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 56-59;
194. Lin L, Liang E W, Zhang S N. GRB 090423: Marking the death of a massive star at z = 8.2. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 64-68;
195. Deng J G, Liang E W. Correlation between pulse-width and peak luminosity of single-pulse long gamma-ray bursts. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 69-72;
196. Lv H J, Liang E W, Tong X F. Spectral properties of Fermi/GBM gamma-ray bursts and the GeV emission detection rate with Fermi/LAT. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 73-77;
197. Dong W, Liang E W, Lu R J. The flux-Ep relation within GRB060218 in comparison with typical GRB pulses. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 78-81;
198. Lu Y, Gao H. A black hole preying on the star for a gamma-ray burst of GRB080503: Evidence for the second event in this new class. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 117-119;
199. Wang X, Huang Y F, Kong S W. Constraint on the counter-jet emission in gamma-ray burst after-glows from GRB 980703. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 259-261;
200. Liu X W, Wu X F, Lu T. Magnetic energy injection in GRB 080913. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 262-264;
201. Zheng W K, Deng J S. Evidence of a two-component jet in the afterglow of GRB 070419A. Sci China-Phys Mech Astron, 2010, 53(Suppl. 1): 265-266