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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

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2018 Impact Factor: 2.483

Front. Phys.    0, Vol. Issue () : 828-846    https://doi.org/10.1007/s11467-013-0300-5
REVIEW ARTICLE
Dark energy: A brief review
Miao Li1,2(), Xiao-Dong Li2,3,4, Shuang Wang5,6, Yi Wang7,8
1. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China; 2. Kavli Institute for Theoretical Physics, Key Laboratory of Frontiers in Theoretical Physics, Beijing 100190, China; 3. Department of Modern Physics, University of Science and Technology of China, Heifei 230026, China; 4. Interdisciplinary Center for Theoretical Study, University of Science and Technology of China, Hefei 230026, China; 5. Department of Physics, College of Sciences, Northeastern University, Shenyang 110004, China; 6. Homer L. Dodge Department of Physics & Astronomy, Univ. of Oklahoma, 440 W Brooks St., Norman, OK 73019, USA; 7. Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8583, Japan; 8. Department of Physics, McGill University, Montréal, QC, H3A 2T8, Canada
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Abstract

The problem of dark energy is briefly reviewed in both theoretical and observational aspects. In the theoretical aspect, dark energy scenarios are classified into symmetry, anthropic principle, tuning mechanism, modified gravity, quantum cosmology, holographic principle, back-reaction and phenomenological types. In the observational aspect, we introduce cosmic probes, dark energy related projects, observational constraints on theoretical models and model independent reconstructions.

Keywords dark energy      theory      observation     
Corresponding Author(s): Li Miao,Email:mil@itp.ac.cn   
Issue Date: 01 December 2013
 Cite this article:   
Miao Li,Xiao-Dong Li,Shuang Wang, et al. Dark energy: A brief review[J]. Front. Phys. , 0, (): 828-846.
 URL:  
https://academic.hep.com.cn/fop/EN/10.1007/s11467-013-0300-5
https://academic.hep.com.cn/fop/EN/Y0/V/I/828
1 S. M. Carroll, Living Rev. Rel. , 2001, 4: 1
2 T. Padmanabhan, Phys. Rep. , 2003, 380(5-6): 235
doi: 10.1016/S0370-1573(03)00120-0
3 P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. , 2003, 75(2): 559
doi: 10.1103/RevModPhys.75.559
4 E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D , 2006, 15(11): 1753
doi: 10.1142/S021827180600942X
5 E. V. Linder, Rep. Prog. Phys. , 2008, 71(5): 056901
doi: 10.1088/0034-4885/71/5/056901
6 S. Tsujikawa, arXiv: 1004.1493 , 2010
7 Y. Wang, Dark Energy, Germany: Wiley-VCH , 2010
8 M. Li, X. D. Li, S. Wang, and Y. Wang, Commun. Theor. Phys. , 2011, 56(3): 525
doi: 10.1088/0253-6102/56/3/24
9 A. Einstein, Sitz. Preuss. Akad.Wiss. Phys-Math , 1917, 142: 87
10 Y. B. Zeldovich, JETP Lett. , 1967, 6: 316
11 V. Sahni, A. Krasinski, and Y. B. Zeldovich, Sov. Phys. Usp. , 1968, 11: 381
doi: 10.1070/PU1968v011n03ABEH003927
12 S. Weinberg, Rev. Mod. Phys. , 1989, 61(1): 1
doi: 10.1103/RevModPhys.61.1
13 A. G. Riess, A. V. Filippenko, P. Challis, A. Clocchiatti, , The Astronomical Journal , 1998, 116(3): 009
doi: 10.1086/300499
14 S. Perlmutter, G. Aldering, G. Goldhaber, R. A. Knop, , Astrophys. J. , 1999, 517(2): 565
doi: 10.1086/307221
15 J. Wess and J. Bagger, Supersymmetry and Supergravity , Princeton: Princeton University Press, 1982
16 B. Zumino, Nucl. Phys. B , 1975, 89(3): 535
doi: 10.1016/0550-3213(75)90194-7
17 G. ’t Hooft and S. Nobbenhuis, Class. Quant. Grav. , 2006, 23: 3819
doi: 10.1088/0264-9381/23/11/009
18 R. Erdem, Phys. Lett. B , 2005, 621(1-2): 11
doi: 10.1016/j.physletb.2005.06.037
19 R. Erdem, Phys. Lett. B , 2006, 639: 348
doi: 10.1016/j.physletb.2006.06.056
20 C. Wetterich, Phys. Rev. Lett. , 2009, 102(14): 141303
doi: 10.1103/PhysRevLett.102.141303
21 C. Wetterich, Phys. Rev. D , 2010, 81(10): 103507
doi: 10.1103/PhysRevD.81.103507
22 D. E. Kaplan and R. Sundrum, J. High Energy Phys. , 2006, 0607: 042
23 B. Carter, IAU Symp. , 1974, 63: 291
24 R. H. Dicke, Phys. Rev. , 1962, 125: 2163
doi: 10.1103/PhysRev.125.2163
25 L. Susskind, in: Universe or Multiverse, edited by B. Carr , Cambridge: Cambridge University Press, 2007: 247
26 R. Bousso and J. Polchinski, J. High Energy Phys. , 2000, 0006: 006
27 J. M. Cline, arXiv: hep-th/0612129 , 2006
28 S. Kachru, R. Kallosh, A. Linde, and S. Trivedi, Phys. Rev. D , 2003, 68(4): 046005
doi: 10.1103/PhysRevD.68.046005
29 M. R. Douglas, J. High Energy Phys. , 2003, 0305: 046
30 S. B. Giddings, S. Kachru, and J. Polchinski, Phys. Rev. D , 2002, 66(10): 106006
doi: 10.1103/PhysRevD.66.106006
31 P. J. Steinhardt, in: The Very Early Universe, Proceedings of the 1982 Nuffield Workshop at Cambridge , edited by G. Gibbons, S. W. Hawking, and S. T. Tiklos, Cambridge: Cambridge University Press, 1982
32 A. Vilenkin, Phys. Rev. D , 1983, 27(12): 2848
doi: 10.1103/PhysRevD.27.2848
33 S. Weinberg, Phys. Rev. Lett. , 1987, 59(22): 2607
doi: 10.1103/PhysRevLett.59.2607
34 S. Weinberg, in: Universe or Multiverse, edited by Bernard Carr, Cambridge , UK: Cambridge University Press, 2007: 29
35 L. Boltzmann, Nature , 1985, 51(1322): 413
doi: 10.1038/051413b0
36 J. Garriga, , J. Cosmol. Astropart. Phys. , 2006, 0601: 017
37 R. Bousso, Phys. Rev. Lett. , 2006, 97(19): 191302
doi: 10.1103/PhysRevLett.97.191302
38 G. W. Gibbons, S. W. Hawking, and J. M. Stewart, Nucl. Phys. B , 1987, 281(3-4): 736
doi: 10.1016/0550-3213(87)90425-1
39 M. Li and Y. Wang, J. Cosmol. Astropart. Phys. , 2007, 0708: 007
40 A. D. Dolgov, in: The Very Early Universe, Proceedings of the 1982 NuffieldWorkshop at Cambridge , edited by G. Gibbons, S. W. Hawking, and S. T. Tiklos, Cambridge: Cambridge University Press, 1982: 449
41 S. Kachru, M. B. Schulz, and E. Silverstein, Phys. Rev. D , 2000, 62(4): 045021
doi: 10.1103/PhysRevD.62.045021
42 J. M. Cline, , J. High Energy Phys. , 2003, 0306: 048
43 J. Vinet and J. M. Cline, Phys. Rev. D , 2004, 70(8): 083514
doi: 10.1103/PhysRevD.70.083514
44 C. Csaki, J. Erlich, and C. Grojean, Nucl. Phys. B , 2001, 604(1-2): 312
doi: 10.1016/S0550-3213(01)00175-4
45 H. A. Buchdahl, Mon. Not. R. Astron. Soc. , 1970, 150: 1
46 S. M. Carroll, V. Duvvuri, M. Trodden, and M. S. Turner, Phys. Rev. D , 2004, 70(4): 043528
doi: 10.1103/PhysRevD.70.043528
47 T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. , 2010, 82(1): 451
doi: 10.1103/RevModPhys.82.451
48 A. D. Felice and S. Tsujikawa, Living. Rev. Rel. , 2010, 13: 3
49 M. Milgrom, Astrophys. J. , 1983, 270: 365
doi: 10.1086/161130
50 J. D. Bekenstein, Phys. Rev. D , 2004, 70(8): 083509
doi: 10.1103/PhysRevD.70.083509
51 G. R. Dvali, G. Gabadadze, and M. Porrati, Phys. Lett. B , 2000, 485(1-3): 208
doi: 10.1016/S0370-2693(00)00669-9
52 C. Brans and R. H. Dicke, Phys. Rev. , 1961, 124(3): 925
doi: 10.1103/PhysRev.124.925
53 L. Amendola, Phys. Rev. D , 1999, 60(4): 043501
doi: 10.1103/PhysRevD.60.043501
54 B. Zwiebach, Phys. Lett. B , 1985, 156(5-6): 315
doi: 10.1016/0370-2693(85)91616-8
55 S. Nojiri, S. D. Odintsov, and M. Sasaki, Phys. Rev. D , 2005, 71(12): 123509
doi: 10.1103/PhysRevD.71.123509
56 D. Lovelock, J. Math. Phys. , 1971, 12(3): 498
doi: 10.1063/1.1665613
57 P. Horava, Phys. Rev. D , 2009, 79(8): 084008
doi: 10.1103/PhysRevD.79.084008
58 G. R. Bengochea and R. Ferraro, Phys. Rev. D , 2009, 79(12): 124019
doi: 10.1103/PhysRevD.79.124019
59 E. V. Linder, Phys. Rev. D , 2010, 81(12): 127301
doi: 10.1103/PhysRevD.81.127301
60 P. D. Mannheim, Prog. Part. Nucl. Phys. , 2006, 56(2): 340
doi: 10.1016/j.ppnp.2005.08.001
61 J. B. Hartle and S. W. Hawking, Phys. Rev. D , 1983, 28(12): 1960
doi: 10.1103/PhysRevD.28.2960
62 S. W. Hawking, Phys. Lett. B , 1984, 134(6): 403
doi: 10.1016/0370-2693(84)91370-4
63 H. Firouzjahi, S. Sarangi, and S. H. H. Tye, J. High Energy Phys. , 2004, 0409: 060
64 S. Sarangi and S. H. H. Tye, arXiv: hep-th/0505104 , 2005
65 S. H. H. Tye, arXiv: hep-th/0611148 , 2006
66 S. H. H. Tye, arXiv: 0708.4374 , 2007
67 E. J. Copeland, A. Padilla, and P. M. Saffin, J. High Energy Phys. , 2008, 0801: 066
68 P. M. Saffin, A. Padilla, and E. J. Copeland, J. High Energy Phys. , 2008, 0809: 055
69 S. H. H. Tye and D. Wohns, arXiv: 0910.1088 , 2009
70 S. H. H. Tye and D. Wohns, Phys. Rev. B , 2011, 84(18): 184518
doi: 10.1103/PhysRevB.84.184518
71 http://motls.blogspot.com/2005/12/cosmological-constantseesaw.html
72 http://blogs.discovermagazine.com/cosmicvariance/2005/12/05/duff-on-susskind/
73 M. McGuigan, arXiv: hep-th/0602112 , 2006
74 A. G. Cohen, D. B. Kaplan, and A. E. Nelson, Phys. Rev. Lett. , 1999, 82(25): 4971
doi: 10.1103/PhysRevLett.82.4971
75 M. Li, Phys. Lett. B , 2004, 603(1-2): 1
doi: 10.1016/j.physletb.2004.10.014
76 M. Li, R. X. Miao, and Y. Pang, Phys. Lett. B , 2010, 689(2-3): 55
doi: 10.1016/j.physletb.2010.04.051
77 M. Li, R. X. Miao, and Y. Pang, Opt Express , 2010, 18(9): 9026
doi: 10.1364/OE.18.009026
78 M. Li and Y. Wang, Phys. Lett. B , 2010, 687(2-3): 243
doi: 10.1016/j.physletb.2010.03.042
79 J. W. Lee, J. Lee, and H. C. Kim, J. Cosmol. Astropart. Phys. , 2007, 0708: 005
80 M. Li, , Commun. Theor. Phys. , 2009, 51: 181
doi: 10.1088/0253-6102/51/1/35
81 C. J. Gao, F. Wu, X. Chen, and Y. G. Shen, Phys. Rev. D , 2009, 79(4): 043511
doi: 10.1103/PhysRevD.79.043511
82 S. Nojiri and S. D. Odintsov, Gen. Relativ. Gravit. , 2006, 38(8): 1285
doi: 10.1007/s10714-006-0301-6
83 R. G. Cai, Phys. Lett. B , 2007, 657(4-5): 228
doi: 10.1016/j.physletb.2007.09.061
84 H. Wei and R. G. Cai, Phys. Lett. B , 2008, 660(3): 113
doi: 10.1016/j.physletb.2007.12.030
85 Z. H. Zhang, M. Li, X. D. Li, S. Wang, and W. S. Zhang, arXiv: 1202.5163 , 2012
86 S. Rasanen, arXiv: 1102.0408 , 2011
87 A. Raychaudhuri, Phys. Rev. , 1955, 98(4): 1123
doi: 10.1103/PhysRev.98.1123
88 W. Unruh, arXiv: astro-ph/9802323 , 1998
89 G. Geshnizjani and R. Brandenberger, Phys. Rev. D , 2002, 66(12): 123507
doi: 10.1103/PhysRevD.66.123507
90 G. Geshnizjani and R. Brandenberger, J. Cosmol. Astropart. Phys. , 2005, 0504: 006
91 L. R. Abramo and R. P.Woodard, Phys. Rev. D , 2002, 65(4): 043507
doi: 10.1103/PhysRevD.65.043507
92 L. R. Abramo and R. P.Woodard, Phys. Rev. D , 2002, 65(6): 063516
doi: 10.1103/PhysRevD.65.063516
93 D. Krotov and A. M. Polyakov, arXiv: 1012.2107 , 2010
94 G. Lemaitre, Ann. Soc. Sci. Bruxelles A , 1933, 53: 51
95 R. C. Tolman, Proc. Natl. Acad. Sci. USA , 1934, 20(3): 169
doi: 10.1073/pnas.20.3.169
96 H. Bondi, Mon. Not. R. Astron. Soc. , 1947, 107: 410
97 C. Wetterich, Nucl. Phys. B , 1988, 302(4): 668
doi: 10.1016/0550-3213(88)90193-9
98 I. Zlatev, L. M. Wang, and P. J. Steinhardt, Phys. Rev. Lett. , 1999, 82(5): 896
doi: 10.1103/PhysRevLett.82.896
99 R. R. Caldwell, Phys. Lett. B , 2002, 545(1-2): 23
doi: 10.1016/S0370-2693(02)02589-3
100 J. M. Cline, S. Jeon, and G. D. Moore, Phys. Rev. D , 2004, 70(4): 043543
doi: 10.1103/PhysRevD.70.043543
101 J. Garriga and A. Vilenkin, arXiv: 1202.1239 , 2012
102 B. Feng, X. L. Wang, and X. M. Zhang, Phys. Lett. B , 2005, 607(1-2): 35
doi: 10.1016/j.physletb.2004.12.071
103 Y. F. Cai, E. N. Saridakis, M. R. Setare, and J. Q. Xia, Phys. Rep. , 2010, 493(1): 1
doi: 10.1016/j.physrep.2010.04.001
104 T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D , 2000, 62(2): 023511
doi: 10.1103/PhysRevD.62.023511
105 C. Armendariz-Picon, V. F.Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. , 2000, 85(21): 4438
doi: 10.1103/PhysRevLett.85.4438
106 C. Armendariz-Picon, V. F. Mukhanov, and P. J. Steinhardt, Phys. Rev. D , 2001, 63(10): 103510
doi: 10.1103/PhysRevD.63.103510
107 N. Arkani-Hamed, , J. High Energy Phys. , 2004, 0405: 074
108 F. Piazza, S. Tsujikawa, J. Cosmol. Astropart. Phys. , 2004, 0407: 004
109 C. Deffayet, , J. Cosmol. Astropart. Phys. , 2010, 1010: 026
110 O. Pujolas, I. Sawicki, and A. Vikman, arXiv: 1103.5360 , 2011
111 A. Nicolis, R. Rattazzi, and E. Trincherini, Phys. Rev. D , 2009, 79(6): 064036
doi: 10.1103/PhysRevD.79.064036
112 T. Kobayashi, M. Yamaguchi, and J. Yokoyama, Phys. Rev. Lett. , 2010, 105(23): 231302
doi: 10.1103/PhysRevLett.105.231302
113 M. O. Ribas, F. P. Devecchi, and G. M. Kremer, Phys. Rev. D , 2005, 72(12): 123502
doi: 10.1103/PhysRevD.72.123502
114 Y. F. Cai and J. Wang, Class. Quant. Grav. , 2008, 25(16): 165014
doi: 10.1088/0264-9381/25/16/165014
115 U. A. Yajnik, arXiv: 1102.2562 , 2011
116 P. Tsyba, , arXiv: 1103.5918 , 2011
117 C. Armendariz-Picon, J. Cosmol. Astropart. Phys. , 2004, 0407: 007
118 W. Zhao and Y. Zhang, Class. Quant. Grav. , 2006, 23(10): 3405
doi: 10.1088/0264-9381/23/10/011
119 T. S. Koivisto and N. J. Nunes, Phys. Rev. D , 2009, 80(10): 103509
doi: 10.1103/PhysRevD.80.103509
120 P. Das Gupta, arXiv: 0905.1621 , 2009
121 S. DeDeo, Phys. Rev. D , 2006, 73(4): 043520
doi: 10.1103/PhysRevD.73.043520
122 C. G. Boehmer and T. Harko, Found. Phys. , 2008, 38: 216
doi: 10.1007/s10701-007-9199-4
124 A. Y. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Lett. B , 2001, 511(2-4): 265
doi: 10.1016/S0370-2693(01)00571-8
125 N. Bilic, G. B. Tupper, and R. D. Viollier, Phys. Lett. B , 2002, 535(1-4): 17
126 M. C. Bento, O. Bertolami, and A. A. Sen, Phys. Rev. D , 2002, 66(4): 043507
doi: 10.1103/PhysRevD.66.043507
127 I. H. Brevik, Phys. Rev. D , 2002, 65(12): 127302
doi: 10.1103/PhysRevD.65.127302
128 I. H. Brevik and O. Gorbunova, Gen. Relativ. Gravit. , 2005, 37(12): 2039
doi: 10.1007/s10714-005-0178-9
129 D. H. Weinberg, , arXiv: 1201.2434 , 2012
130 A. G. Riess, L.G. Strolger, J. Tonry, S. Casertano, H. C. Ferguson, B. Mobasher, P. Challis, A. V. Filippenko, S. Jha, W. Li, R. Chornock, R. P. Kirshner, B. Leibundgut, M. Dickinson, M. Livio, M. Giavalisco, C. C. Steidel, T. Benitez, and Z. Tsvetanov, Astrophys. J. , 2004, 607(2): 665
doi: 10.1086/383612
131 P. Astier, J. Guy, N. Regnault, R. Pain, , Astron. Astrophys. , 2006, 447(1): 31
doi: 10.1051/0004-6361:20054185
132 G. Miknaitis, G. Pignata, A. Rest, W. M. Wood-Vasey, , Astrophys. J. , 2007, 666(2): 674
doi: 10.1086/519986
133 J. A. Holtzman, , The Astronomical Journal , 2008, 136: 2306
doi: 10.1088/0004-6256/136/6/2306
134 A. Conley, J. Guy, M. Sullivan, N. Regnault, , Astrophys. J. Suppl. , 2011, 192(1): 1
doi: 10.1088/0067-0049/192/1/1
135 R. Amanullah, C. Lidman, D. Rubin, G. Aldering, , Astrophys. J. , 2010, 716(1): 712
doi: 10.1088/0004-637X/716/1/712
136 N. Suzuki, , arXiv: 1105.3470 , 2011
137 S. Nesseris and L. Perivolaropoulos, Phys. Rev. D , 2005, 72(12): 123519
doi: 10.1103/PhysRevD.72.123519
138 J. Marriner, J. P. Bernstein, R. Kessler, H. Lampeitl, R. Miquel, J. Mosher, R. C. Nichol, M. Sako, D. P. Schneider, and M. Smith, Astrophys. J. , 2011, 740(2): 72
doi: 10.1088/0004-637X/740/2/72
139 M. Sullivan, J. Guy, A. Conley, N. Regnault, , Astrophys. J. , 2011, 737(2): 102
doi: 10.1088/0004-637X/737/2/102
140 C. L. Bennett, M. Halpern, G. Hinshaw, N. Jarosik, , Astrophys. J. Suppl. , 2003, 148(1): 1
doi: 10.1086/377253
141 D. N. Spergel, L. Verde, H. V. Peiris, E. Komatsu, M. R. Nolta, C. L. Bennett, M. Halpern, G. Hinshaw, N. Jarosik, A. Kogut, M. Limon, S. S. Meyer, L. Page, G. S. Tucker, J. L. Weiland, E. Wollack, and E. L. Wright, Astrophys. J. Suppl. , 2003, 148(1): 175
doi: 10.1086/377226
142 http://www.rssd.esa.int/index.php?project=PLANCK
143 G. Efstathiou and J. R. Bond, Mon. Not. R. Astron. Soc. , 1999, 304(1): 75
doi: 10.1046/j.1365-8711.1999.02274.x
144 R. K. Sachs and A. M. Wolfe, Astrophys. J. , 1967, 147: 73
doi: 10.1086/148982
145 W. Hu, U. Seljak, M. White, and M. Zaldarriaga, Phys. Rev. D , 1998, 57(6): 3290
doi: 10.1103/PhysRevD.57.3290
146 S. Ho, C. Hirata, N. Padmanabhan, U. Seljak, and N. Bahcall, Phys. Rev. D , 2008, 78(4): 043519
doi: 10.1103/PhysRevD.78.043519
147 J. Silk, Astrophys. J. , 1968, 151: 459
148 P. J. E.Peebles and J. T. Yu, Astrophys. J. , 1970, 162: 815
doi: 10.1086/150713
149 M. Colless, , arXiv: astro-ph/0306581 , 2003
150 D. G. York, , The Astronomical Journal , 2000, 120: 1579
doi: 10.1086/301513
151 M. J. Drinkwater, , arXiv: 0911.4246 , 2009
152 C. Blake, arXiv: 1108.2635 , 2011
153 http://www.cfht.hawaii.edu/Science/CFHLS/
154 A. Heavens, Nucl. Phys. Proc. Suppl. , 2009, 194: 76
doi: 10.1016/j.nuclphysbps.2009.07.005
155 B. D. Sherwin, , arXiv: 1105.0419 , 2011
156 H. Hoekstra, Y. Mellier, L. van Waerbeke, E. Semboloni, L. Fu, M. J. Hudson, L. C. Parker, I. Tereno, and K. Benabed, Astrophys. J. , 2006, 647(1): 116
doi: 10.1086/503249
157 L. M. Wang and P. J. Steinhardt, Astrophys. J. , 1998, 508(2): 483
doi: 10.1086/306436
158 Z. Haiman, J. J. Mohr, and G. P. Holder, Astrophys. J. , 2001, 553(2): 545
doi: 10.1086/320939
159 S. Wang, J. Khoury, Z. Haiman, and M. May, Phys. Rev. D , 2004, 70(12): 123008
doi: 10.1103/PhysRevD.70.123008
160 B. E. Schaefer, Astrophys. J. , 2007, 660(1): 16
doi: 10.1086/511742
161 G. Ghirlanda, G. Ghisellini, and C. Firmani, New J. Phys. , 2006, 8(7): 123
doi: 10.1088/1367-2630/8/7/123
162 S. Allen, D. A. Rapetti, R. W. Schmidt, H. Ebeling, R. G. Morris, and A. C. Fabian, Mon. Not. R. Astron. Soc. , 2008, 383(3): 879
doi: 10.1111/j.1365-2966.2007.12610.x
163 A. G. Riess, L. Macri, S. Casertano, H. Lampeitl, H. C. Ferguson, A. V. Filippenko, S.W. Jha, W. Li, and R. Chornock, Astrophys. J. , 2011, 730(2): 119
doi: 10.1088/0004-637X/730/2/119
164 A. Friaca, J. S. Alcaniz, and J. A. S. Lima, Mon. Not. R. Astron. Soc. , 2005, 362(4): 1295
165 D. Jain and A. Dev, Phys. Lett. B , 2006, 633(4-5): 436
doi: 10.1016/j.physletb.2005.12.007
166 N. Pires, Z. H. Zhu, and J. S. Alcaniz, Phys. Rev. D , 2006, 73(12): 123530
doi: 10.1103/PhysRevD.73.123530
167 H. Wei and S. N. Zhang, Phys. Rev. D , 2007, 76(6): 063003
doi: 10.1103/PhysRevD.76.063003
168 S. Wang and Y. Zhang, Phys. Lett. B , 2008, 669(3-4): 201
doi: 10.1016/j.physletb.2008.09.055
169 S. Wang, X. D. Li, and M. Li, Phys. Rev. D , 2010, 82(10): 103006
doi: 10.1103/PhysRevD.82.103006
170 J. Simon, L. Verde, and R. Jimenez, Phys. Rev. D , 2005, 71(12): 123001
doi: 10.1103/PhysRevD.71.123001
171 C. Di Porto and L. Amendola, Phys. Rev. D , 2008, 77(8): 083508
doi: 10.1103/PhysRevD.77.083508
172 S. Nesseris and L. Perivolaropoulos, Phys. Rev. D , 2008, 77(2): 023504
doi: 10.1103/PhysRevD.77.023504
173 L. Guzzo, M. Pierleoni, B. Meneux, E. Branchini, , Nature , 2008, 451(7178): 541
doi: 10.1038/nature06555
174 A. Albrecht, , arXiv: astro-ph/0609591 , 2006
175 J. Frieman, M. Turner, and D. Huterer, Annu. Rev. Astron. Astrophys. , 2008, 46(1): 385
doi: 10.1146/annurev.astro.46.060407.145243
177 http://www.lsst.org/lsst
178 http://sites.nationalacademies.org/bpa/BPA 049810
179 http://www.skatelescope.org/
180 http://wfirst.gsfc.nasa.gov/
181 http://sci.esa.int/science-e/www/area/index.cfm?fareaid=102
182 http://ixo.gsfc.nasa.gov/
183 R. R. Cadwell, M. Kamionkowski, and N. N. Weinberg, Phys. Rev. Lett. , 2003, 91: 071301
doi: 10.1103/PhysRevLett.91.071301
184 E. Komatsu, , Astrophys. J. Lett. , 2011, 192: 18
doi: 10.1088/0067-0049/192/2/18
185 C. Wetterich, Astron. Astrophys. , 1995, 301: 321
186 L. Amendola, Phys. Rev. D , 2000, 62(4): 043511
doi: 10.1103/PhysRevD.62.043511
187 J. H. He, B. Wang, and E. Abdalla, Phys. Rev. D , 2011, 83(6): 063515
doi: 10.1103/PhysRevD.83.063515
188 A. V. Maccio, C. Quercellini, R. Mainini, L. Amendola, and S. A. Bonometto, Phys. Rev. D , 2004, 69(12): 123516
doi: 10.1103/PhysRevD.69.123516
189 R. G. Cai and A. Z. Wang, J. Cosmol. Astropart. Phys. , 2005, 0503: 002
190 Z. K. Guo, N. Ohta, and S. Tsujikawa, Phys. Rev. D , 2007, 76(2): 023508
doi: 10.1103/PhysRevD.76.023508
191 R. Bean, é. Flanagan, I. Laszlo, and M. Trodden, Phys. Rev. D , 2008, 78(12): 123514
doi: 10.1103/PhysRevD.78.123514
192 P. T. Silva and O. Bertolami, Astrophys. J. , 2003, 599(2): 829
doi: 10.1086/379362
193 Z. H. Zhu, Astron. Astrophys. , 2004, 423(2): 421
doi: 10.1051/0004-6361:20040236
194 P. X. Wu and H. W. Yu, J. Cosmol. Astropart. Phys. , 2007, 0703: 015
195 T. M. Davis, E. Mortsell, J. Sollerman, A. C. Becker, , Astrophys. J. , 2007, 666(2): 716
doi: 10.1086/519988
196 H. Sandvik, M. Tegmark, M. Zaldarriaga, and I. Waga, Phys. Rev. D , 2004, 69(12): 123524
doi: 10.1103/PhysRevD.69.123524
197 C. G. Park, J. Hwang, J. Park, and H. Noh, Phys. Rev. D , 2010, 81(6): 063532
doi: 10.1103/PhysRevD.81.063532
198 M. Li, , J. Cosmol. Astropart. Phys. , 2009, 06: 036
199 M. Li, , J. Cosmol. Astropart. Phys. , 2009, 12: 014
200 Q. G. Huang and Y. G. Gong, J. Cosmol. Astropart. Phys. , 2004, 0408: 006
201 X. Zhang and F. Q. Wu, Phys. Rev. D , 2005, 72(4): 043524
doi: 10.1103/PhysRevD.72.043524
202 Z. L. Yi and T. J. Zhang, Mod. Phys. Lett. A , 2007, 22(01): 41
doi: 10.1142/S0217732307020889
203 X. Zhang, Phys. Lett. B , 2010, 683(2-3): 81
doi: 10.1016/j.physletb.2009.12.021
204 M. Li, X. D. Li, and X. Zhang, Sci. China: Phys. Mech. Astron. , 2010, 53(9): 1631
doi: 10.1007/s11433-010-4083-1
205 Y. Z. Ma, Y. Gong, and X. L. Chen, Eur. Phys. J. C , 2009, 60(2): 303
doi: 10.1140/epjc/s10052-009-0876-7
206 H. Wei, J. Cosmol. Astropart. Phys. , 2010, 1008: 020
207 B. Wang, Y. G. Gong, and E. Abdalla, Phys. Lett. B , 2005, 624(3-4): 141
208 B. Wang, C. Y. Lin, and E. Abdalla, Phys. Lett. B , 2006, 637(6): 357
doi: 10.1016/j.physletb.2006.04.009
209 C. Feng, , J. Cosmol. Astropart. Phys. , 2007, 0709: 005
210 H. M. Sadjadi and M. Honardoost, Phys. Lett. B , 2007, 647: 231
doi: 10.1016/j.physletb.2007.02.016
212 D. Rubin, E. V. Linder, M. Kowalski, G. Aldering, , Astrophys. J. , 2009, 695(1): 391
doi: 10.1088/0004-637X/695/1/391
213 Y. S. Song, I. Sawicki, and W. Hu, Phys. Rev. D , 2007, 75(6): 064003
doi: 10.1103/PhysRevD.75.064003
214 F. Schmidt, Phys. Rev. D , 2009, 80(4): 043001
doi: 10.1103/PhysRevD.80.043001
215 W. J. Fang, S. Wang, W. Hu, Z. Haiman, L. Hui, and M. May, Phys. Rev. D , 2008, 78(10): 103509
doi: 10.1103/PhysRevD.78.103509
216 Z. K. Guo, Z.H. Zhu, J. S. Alcaniz, and Y.Z. Zhang, Astrophys. J. , 2006, 646(1): 1
doi: 10.1086/504831
217 M. Fairbairn and A. Goodbar, Phys. Lett. B , 2006, 642(5-6): 432
218 R. Maartens and E. Majerotto, Phys. Rev. D , 2006, 74(2): 023004
doi: 10.1103/PhysRevD.74.023004
219 J. Q. Xia, Phys. Rev. D , 2009, 79(10): 103527
doi: 10.1103/PhysRevD.79.103527
220 W. S. Zhang, , arXiv: 1202.0892 , 2012
221 W. Hu and I. Sawicki, Phys. Rev. D , 2007, 76(6): 064004
doi: 10.1103/PhysRevD.76.064004
222 S. Tsujikawa and T. Tatekawa, Phys. Lett. B , 2008, 665(5): 325
doi: 10.1016/j.physletb.2008.06.052
223 F. Schmidt, A. Vikhlinin, and W. Hu, Phys. Rev. D , 2009, 80: 082505
224 Y. S. Song, W. Hu, and I. Sawicki, Phys. Rev. D , 2007, 75(4): 044004
doi: 10.1103/PhysRevD.75.044004
225 Y. S. Song, H. Peiris, and W. Hu, Phys. Rev. D , 2007, 76(6): 063517
doi: 10.1103/PhysRevD.76.063517
226 L. Lombriser, , arXiv:1003.3009 .
227 T. Koivisto and D. F. Mota, Phys. Lett. B , 2007, 644(2-3): 104
228 T. Koivisto and D. F. Mota, J. Cosmol. Astropart. Phys. , 2007, 0701: 006
229 S. S. Shapiro, J. L. Davis, D. E. Lebach, and J. S. Gregory, Phys. Rev. Lett. , 2004, 92(12): 121101
doi: 10.1103/PhysRevLett.92.121101
230 C. M. Will, Living Rev. Rel. , 2005, 9: 3
231 B. Jain and J. Khoury, Ann. Phys. , 2010, 325(7): 1479
doi: 10.1016/j.aop.2010.04.002
232 J. G. Bellido and T. Haugbolle, J. Cosmol. Astropart. Phys. , 2008, 4: 3
doi: 10.1088/1475-7516/2008/04/003
233 J. Sollerman, E. M?rtsell, T. M. Davis, M. Blomqvist, , Astrophys. J. , 2009, 703(2): 1374
doi: 10.1088/0004-637X/703/2/1374
234 H. Alnes and M. Amarzguioui, Phys. Rev. D , 2006, 74(10): 103520
doi: 10.1103/PhysRevD.74.103520
235 A. Moss, J. P. Zibin, and D. Scott, arXiv: 1007.3725 , 2010
236 J. G. Bellido and T. Haugboelle, J. Cosmol. Astropart. Phys. , 2008, 0809: 016
237 J. P. Uzan, C. Clarkson, and G. F. R. Ellis, Phys. Rev. Lett. , 2008, 100(19): 191303
doi: 10.1103/PhysRevLett.100.191303
238 P. Dunsby, , J. Cosmol. Astropart. Phys. , 2010, 1006: 017
239 R. R. Caldwell and A. Stebbins, Phys. Rev. Lett. , 2008, 100(19): 191302
doi: 10.1103/PhysRevLett.100.191302
240 M. X. Lan, M. Li, X.D. Li, and S. Wang, Phys. Rev. D , 2010, 82(2): 023516
doi: 10.1103/PhysRevD.82.023516
241 C. Clarkson, B. Bassett, and T. H. C. Lu, Phys. Rev. Lett. , 2008, 101(1): 011301
doi: 10.1103/PhysRevLett.101.011301
242 W. Godlowski and M. Szydlowski, Phys. Rev. Lett. B , 2005, 623: 10
doi: 10.1016/j.physletb.2005.07.044
243 M. Biesiada, J. Cosmol. Astropart. Phys. , 2007, 0702: 003
244 J. Magueijo and R. D. Sorkin, Mon. Not. R. Astron. Soc. , 2007, 377(1): L39
doi: 10.1111/j.1745-3933.2007.00299.x
245 G. Schwarz, Ann. Stat. , 1978, 6(2): 461
doi: 10.1214/aos/1176344136
246 H. Akaike, IEEE Trans. Automat. Contr. , 1974, 19(6): 716
doi: 10.1109/TAC.1974.1100705
247 S. Nesseris and L. Perivolaropoulos, Phys. Rev. D , 2004, 70(4): 043531
doi: 10.1103/PhysRevD.70.043531
248 Y. G. Gong and C. K. Duan, Mon. Not. R. Astron. Soc. , 2004, 352(3): 847
doi: 10.1111/j.1365-2966.2004.07976.x
249 M. Szydlowski, A. Kurek, and A. Krawiec, Phys. Lett. B , 2006, 642(3): 171
250 A. Kurek and M. Szydlowski, Astrophys. J. , 2008, 675(1): 1
doi: 10.1086/526333
251 S. Basilakos, M. Plionis, and J. A. S.Lima, Phys. Rev. D , 2010, 82(8): 083517
doi: 10.1103/PhysRevD.82.083517
252 E. Komatsu, J. Dunkley, M. R. Nolta, C. L. Bennett, B. Gold, G. Hinshaw, N. Jarosik, D. Larson, M. Limon, L. Page, D. N. Spergel, M. Halpern, R. S. Hill, A. Kogut, S. S. Meyer, G. S. Tucker, J. L. Weiland, E. Wollack, and E. L. Wright, Astrophys. J. Suppl. , 2009, 180(2): 330
doi: 10.1088/0067-0049/180/2/330
253 M. Chevallier and D. Polarski, Int. J. Mod. Phys. D , 2001, 10(02): 213
doi: 10.1142/S0218271801000822
254 E. V. Linder, Phys. Rev. Lett. , 2003, 90(9): 091301
doi: 10.1103/PhysRevLett.90.091301
255 E. V. Linder, Phys. Rev. D , 2004, 70(2): 023511
doi: 10.1103/PhysRevD.70.023511
256 D. Huterer and M. S. Turner, Phys. Rev. D , 1999, 60(8): 081301
doi: 10.1103/PhysRevD.60.081301
257 H. K. Jassal, J. S. Bagla, and T. Padmanabhan, Mon. Not. R. Astron. Soc. , 2005, 356: L11
258 G. Efstathiou, Mon. Not. R. Astron. Soc. , 2000, 342: 810
259 J. Z. Ma and X. Zhang, Phys. Lett. B , 2011, 699(4): 233
doi: 10.1016/j.physletb.2011.04.013
260 H. Li and X. Zhang, Phys. Lett. B , 2011, 703(2): 119
doi: 10.1016/j.physletb.2011.07.069
261 X. D. Li, , arXiv: 1202.4060 , 2012
262 U. Seljak, A. Makarov, P. McDonald, S. Anderson, , Phys. Rev. D , 2005, 71(10): 103515
doi: 10.1103/PhysRevD.71.103515
263 R. Lazkoz, S. Nesseris, and L. Perivolaropoulos, J. Cosmol. Astropart. Phys. , 2008, 0807: 012
264 S. Basilakos, S. Nesseris, and L. Perivolaropoulos, Mon. Not. R. Astron. Soc. , 2008, 387(3): 1126
doi: 10.1111/j.1365-2966.2008.13303.x
265 B. A. Bassett, M. Kunz, J. Silk, and C. Ungarelli, Mon. Not. R. Astron. Soc. , 2002, 336(4): 1217
doi: 10.1046/j.1365-8711.2002.05887.x
266 B. A. Bassett, P. S. Corasaniti, and M. Kunz, Astrophys. J. , 2004, 617(1): L1
doi: 10.1086/427023
267 B. A. Bassett, , J. Cosmol. Astropart. Phys. , 2008, 0807: 007
268 A. Upadhye, M. Ishak, and P. J. Steinhardt, Phys. Rev. D , 2005, 72(6): 063501
doi: 10.1103/PhysRevD.72.063501
269 K. Ichikawa and T. Takahashi, J. Cosmol. Astropart. Phys. , 2007, 0702: 001
270 K. Ichikawa and T. Takahashi, J. Cosmol. Astropart. Phys. , 2008, 0804: 027
271 Y. G. Gong, B. Wang, and R. G. Cai, J. Cosmol. Astropart. Phys. , 2010, 1004: 019
272 N. N. Pan, Y. Gong, Y. Chen, and Z.H. Zhu, Class. Quant. Grav. , 2010, 27(15): 155015
doi: 10.1088/0264-9381/27/15/155015
273 D. Huterer and G. Starkman, Phys. Rev. Lett. , 2003, 90(3): 031301
doi: 10.1103/PhysRevLett.90.031301
274 D. Huterer and A. Cooray, Phys. Rev. D , 2005, 71(2): 023506
doi: 10.1103/PhysRevD.71.023506
275 S. Sullivan, A. Cooray, and D. E. Holz, J. Cosmol. Astropart. Phys. , 2007, 09: 004
276 S. Qi, F. Y. Wang, and T. Lu, Astron. Astrophys. , 2008, 483(1): 49
doi: 10.1051/0004-6361:20079329
277 A. G. Riess, L. G. Strolger, S. Casertano, H. C. Ferguson, B. Mobasher, B. Gold, P. J. Challis, A. V. Filippenko, S. Jha, W. Li, J. Tonry, R. Foley, R. P. Kirshner, M. Dickinson, E. MacDonald, D. Eisenstein, M. Livio, J. Younger, C. Xu, T. Dahlen, and D. Stern, Astrophys. J. , 2007, 659(1): 98
doi: 10.1086/510378
278 Y. Wang, Mod. Phys. Lett. A , 2010, 25(37): 3093
279 Q. G. Huang, M. Li, X. D. Li, and S. Wang, Phys. Rev. D , 2009, 80(8): 083515
doi: 10.1103/PhysRevD.80.083515
280 S. Wang, X. D. Li, and M. Li, Phys. Rev. D , 2011, 83(2): 023010
doi: 10.1103/PhysRevD.83.023010
281 X. D. Li, , J. Cosmol. Astropart. Phys. , 2011, 07: 011
282 E. V. Linder and D. Huterer, Phys. Rev. D , 2005, 72(4): 043509
doi: 10.1103/PhysRevD.72.043509
283 A. Hojjati, L. Pogosian, and G. B. Zhao, J. Cosmol. Astropart. Phys. , 2010, 04: 1007
284 R. A. Daly and S. G. Djorgovski, Astrophys. J. , 2003, 597(1): 9
doi: 10.1086/378230
285 A. Shafieloo, , Mon. Not. R. Astron. Soc. , 2006, 366: 1081
286 U. Alam, V. Sahni, T. Deep Saini, and A. A. Starobinsky, Mon. Not. R. Astron. Soc. , 2003, 344(4): 1057
doi: 10.1046/j.1365-8711.2003.06871.x
287 U. Alam, V. Sahni, T. Deep Saini, and A. A. Starobinsky, Mon. Not. R. Astron. Soc. , 2004, 354(1): 275
doi: 10.1111/j.1365-2966.2004.08189.x
288 J. L. Tonry, B. P. Schmidt, B. Barris, P. Candia, , Astrophys. J. , 2003, 594(1): 1
doi: 10.1086/376865
289 B. Barris, J. L. Tonry, S. Blondin, P. Challis, , Astrophys. J. , 2004, 602(2): 571
doi: 10.1086/381122
290 J. Jonsson, , J. Cosmol. Astropart. Phys. , 2004, 0409: 007
291 U. Alam, , arXiv: astro-ph/0406672 , 2004
292 Y. Wang, Phys. Rev. D , 2008, 77(12): 123525
doi: 10.1103/PhysRevD.77.123525
293 Y. Wang and M. Tegmark, Phys. Rev. Lett. , 2004, 92(24): 241302
doi: 10.1103/PhysRevLett.92.241302
294 Y. Wang and K. Freese, Phys. Lett. B , 2006, 632(4): 449
doi: 10.1016/j.physletb.2005.10.083
295 Y. Wang and P. Mukherjee, Phys. Rev. D , 2007, 76(10): 103533
doi: 10.1103/PhysRevD.76.103533
296 Y. Wang, Phys. Rev. D , 2009, 80(12): 123525
doi: 10.1103/PhysRevD.80.123525
297 Y. Wang, C. H. Chuang, and P. Mukherjee, Phys. Rev. D , 2012, 85(2): 023517
doi: 10.1103/PhysRevD.85.023517
298 T. Holsclaw, U. Alam, B. Sansó, H. Lee, K. Heitmann, S. Habib, and D. Higdon, Phys. Rev. Lett. , 2010, 105(24): 241302
doi: 10.1103/PhysRevLett.105.241302
299 T. Holsclaw, U. Alam, B. Sansó, H. Lee, K. Heitmann, S. Habib, and D. Higdon, Phys. Rev. D , 2010, 82(10): 103502
doi: 10.1103/PhysRevD.82.103502
300 S. Banerjee, B. P. Carlin, and A. E. Gelfand, Hierarchical Modeling and Analysis for Spatial Data , New York: Chapman and Hall, 2004
301 C. E. Rasmussen and K. I. Williams, Gaussian Processes for Machine Learning , Boston: MIT Press, 2006
302 S. Habib, K. Heitmann, D. Higdon, C. Nakhleh, and B. Williams, Phys. Rev. D , 2007, 76(8): 083503
doi: 10.1103/PhysRevD.76.083503
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