Reconstruction of the scalar-tensor Lagrangian from a ΛcDM background and Noether symmetry

Journal of Cosmology and Astroparticle Physics

Volumn 2007, Issue 12, 2007, Pages

  Capozziello, S ^a   Nesseris, S ^b   Perivolaropoulos, L ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Cosmology of theories beyond the SM; Darj energy theory; Gravity

Indexed keywords

EID: 38049010494     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2007/12/009     Document Type: Article

References (119)

1. Perlmutter S et al 1999 Astrophys. J. 517 565
2. Riess A G et al 1998 Astron. J. 116 1009
3. Riess A G et al 1999 Astron. J. 117 707
4. Tonry J L et al 2003 Astrophys. J. 594 1
5. Knop R A et al 2003 Astrophys. J. 598 102
6. Astier P et al 2006 Astron. Astrophys. 447 31
7. Miknaitis G et al 2007 Preprint astro-ph/0701043
8. Riess A G et al 2006 Preprint astro-ph/0611572
9. Spergel D N et al 2003 Astrophys. J. Suppl. 148 175
10. Spergel D N et al 2006 Preprint astro-ph/0603449
11. Eisenstein D J et al 2005 Astrophys. J. 633 560
12. Blake C, Parkinson D, Bassett B, Glazebrook K, Kunz M and Nichol R C 2006 Mon. Not. R. Astron. Soc. 365 255
13. Sahni V and Starobinsky A A 2000 Int. J. Mod. Phys. D 9 373
14. Carroll S M 2001 Living Rev. Rel. 4 1
15. Padmanabhan T 2003 Phys. Rep. 380 235
16. Peebles P J E and Ratra B 2003 Rev. Mod. Phys. 75 559
17. Sahni V 2004 Lect. Notes Phys. 653 141 [astro-ph/0403324]
18. Perivolaropoulos L 2006 AIP Conf. Proc. 848 698 [astro-ph/0601014]
19. Copeland E J, Sami M and Tsujikawa S 2006 Int. J. Mod. Phys. D 15 1753 [hep-th/0603057]
20. Fujii Y 1982 Phys. Rev. D 26 2580
21. Ford L H 1987 Phys. Rev. D 35 2339
22. Wetterich C 1988 Nucl. Phys. B 302 668
23. Ratra B and Peebles J 1988 Phys. Rev. D 37 321
24. Fujii Y and Nishioka T 1990 Phys. Rev. D 42 361
25. Copeland E J, Liddle A R and Wands D 1993 Ann. New York Acad. Sci. 688 647
26. Wetterich C 1995 Astron. Astrophys. 301 321
27. Ferreira P G and Joyce M 1997 Phys. Rev. Lett. 79 4740
28. Ferreira P G and Joyce M 1998 Phys. Rev. D 58 023503
29. Caldwell R R, Dave R and Steinhardt P J 1998 Phys. Rev. Lett. 80 1582
30. Zlatev I, Wang L M and Steinhardt P J 1999 Phys. Rev. Lett. 82 896
31. Steinhardt P J, Wang L M and Zlatev I 1999 Phys. Rev. D 59 123504
32. Perivolaropoulos L 2005 Phys. Rev. D 71 063503 [astro-ph/0412308]
33. Bilic N, Tupper G B and Viollier R D 2002 Phys. Lett. B 535 17 [astro-ph/0111325]
34. Bento M C, Bertolami O and Sen A A 2002 Phys. Rev. D 66 043507 [gr-qc/0202064]
35. Friedland A, Murayama H and Perelstein M 2003 Phys. Rev. D 67 043519 [astro-ph/0205520]
36. Li M 2004 Phys. Lett. B 603 1 [hep-th/0403127]
37. Huang Q G and Gong Y G 2004 J. Cosmol. Astropart. Phys. JCAP08(2004)006 [astro-ph/0403590]
38. Nojiri S and Odintsov S D 2006 Gen. Rel. Grav. 38 1285 [hep-th/0506212]
39. Fujii Y 2000 Phys. Rev. D 62 044011
40. Bartolo N and Pietroni M 2000 Phys. Rev. D 61 023518
41. Perrotta F, Baccigalupi C and Matarrese S 2000 Phys. Rev. D 61 023507
42. Esposito-Farèse G and Polarski D 2001 Phys. Rev. D 63 063504
43. Torres D F 2002 Phys. Rev. D 66 043522
44. Gannouji R, Polarski D, Ranquet A and Starobinsky A A 2006 J. Cosmol. Astropart. Phys. JCAP09(2006)016
45. Amendola L, Polarski D and Tsujikawa S 2007 Phys. Rev. Lett. 98 131302 [astro-ph/0603703]
46. Capozziello S 2002 Int. J. Mod. Phys. D 11 483
47. Capozziello S, Carloni S and Troisi A 2003 Astron. Astrophys. 1 1 [astro-ph/0303041]
48. Nojiri S and Odintsov S D 2004 Gen. Rel. Grav. 36 1765
49. Soussa M E and Woodard R P 2004 Gen. Rel. Grav. 36 855
50. Allemandi G, Borowiec A and Francaviglia M 2004 Phys. Rev. D 70 103503
51. Easson D A 2004 Int. J. Mod. Phys. A 19 5343
52. Carroll S M, De Felice A, Duvvuri V, Easson D A, Trodden M and Turner M S 2005 Phys. Rev. D 71 063513
53. Carloni S, Dunsby P K S, Capozziello S and Troisi A 2005 Class. Quantum Grav. 22 4839
54. Capozziello S, Cardone V F and Troisi A 2005 Phys. Rev. D 71 043503
55. Cognola G, Elizalde E, Nojiri S, Odintsov S D and Zerbini S 2005 J. Cosmol. Astropart. Phys. JCAP02(2005)010
56. Nojiri S, Odintsov S D and Tsujikawa S 2005 Phys. Rev. D 71 063004
57. Abdalla M C B, Nojiri S and Odintsov S D 2006 Preprint hep-th/0601213
58. Woodard R P 2006 Preprint astro-ph/0601672
59. Das S, Banerjee N and Dadhich N 2006 Class. Quantum Grav. 23 4159
60. Capozziello S, Cardone V F, Elizalde E, Nojiri S and Odintsov S D 2006 Phys. Rev. D 73 043512
61. Srivastava S K 2006 Preprint astro-ph/0602116
62. Sotiriou T P 2006 Class. Quantum Grav. 23 5117
63. Sotiriou T P 2006 Preprint gr-qc/0611107
64. Sotiriou T P 2006 Preprint gr-qc/0611158
65. Sotiriou T P and Liberati S 2006 Preprint gr-qc/0604006
66. De Felice A, Hindmarsh M and Trodden M 2006 J. Cosmol. Astropart. Phys. JCAP08(2006)005
67. Bludman S 2006 Preprint astro-ph/0605198
68. Carroll S M, Sawicki I, Silvestri A and Trodden M 2006 Preprint astro-ph/0607458
69. Huterer D and Linder E V 2006 Preprint astro-ph/0608681
70. Jin X h, Liu D j and Li X z 2006 Preprint astro-ph/0610854
71. Poplawski N J 2006 Phys. Rev. D 74 084032
72. Poplawski N J 2006 Preprint gr-qc/0610133
73. Faraoni V 2006 Preprint astro-ph/0610734
74. Chiba T, Smith T L and Erickcek A L 2006 Preprint astro-ph/0611867
75. Faraoni V and Nadeau S 2006 Preprint gr-qc/0612075
76. Li B and Barrow J D 2007 Preprint gr-qc/0701111
77. Navarro I and Van Acoleyen K 2006 Preprint gr-qc/0611127
78. Brookfield A W, van de Bruck C and Hall L M H 2006 Phys. Rev. D 74 064028
79. Fairbairn M and Rydbeck S 2007 Preprint astro-ph/0701900
80. Dick R 2004 Gen. Rel. Grav. 36 217 [gr-qc/0307052]
81. Capozziello S, Carloni S and Troisi A 2003 Preprint astro-ph/0303041
82. Sawicki I and Hu W 2007 Preprint astro-ph/0702278
83. Hu W and Sawicki I 2007 Preprint 0705.1158 [astro-ph]
84. Amendola L and Tsujikawa S 2007 Preprint 0705.0396 [astro-ph]
85. Nojiri S, Odintsov S D and Tretyakov P V 2007 Preprint 0704.2520 [hep-th]
86. Maartens R 2004 Living Rev. Rel. 7 7 [gr-qc/0312059]
87. Sahni V and Shtanov Y 2003 J. Cosmol. Astropart. Phys. JCAP11(2003)014 [astro-ph/0202346]
88. Kofinas G, Panotopoulos G and Tomaras T N 2006 J. High Energy Phys. JHEP01(2006)107 [hep-th/0510207]
89. Apostolopoulos P S and Tetradis N 2006 Phys. Rev. D 74 064021 [hep-th/0604014]
90. Bogdanos C, Dimitriadis A and Tamvakis K 2006 Preprint hep-th/0611094
91. Perivolaropoulos L 2005 J. Cosmol. Astropart. Phys. JCAP10(2005)001 [astro-ph/0504582]
92. Nesseris S and Perivolaropoulos L 2007 Phys. Rev. D 75 023517 [astro-ph/0611238]
93. Boisseau B, Esposito-Farèse G, Polarski D and Starobinsky A A 2000 Phys. Rev. Lett. 85 2236
94. Alam U, Sahni V, Saini T D and Starobinsky A A 2004 Mon. Not. R. Astron. Soc. 354 275 [astro-ph/0311364]
95. Nesseris S and Perivolaropoulos L 2005 Phys. Rev. D 72 123519 [astro-ph/0511040]
96. Lazkoz R, Nesseris S and Perivolaropoulos L 2005 J. Cosmol. Astropart. Phys. JCAP11(2005)010 [astro-ph/0503230]
97. Nesseris S and Perivolaropoulos L 2004 Phys. Rev. D 70 043531 [astro-ph/0401556]
98. Nesseris S and Perivolaropoulos L 2007 J. Cosmol. Astropart. Phys. JCAP01(2007)018 [astro-ph/0610092]
99. Capozziello S and de Ritis R 1993 Phys. Lett. A 177 1
100. Capozziello S and de Ritis R 1994 Class. Quantum Grav. 11 107
101. Boisseau B, Esposito-Farese G, Polarski D and Starobinsky A A 2000 Phys. Rev. Lett. 85 2236 [gr-qc/0001066]
102. Esposito-Farese G and Polarski D 2001 Phys. Rev. D 63 063504 [gr-qc/0009034]
103. Capozziello S, de Ritis R, Rubano C and Scudellaro S 1996 Riv. Nuovo Cimento 19 1-114
104. Kamilya S, Modak B and Biswas S 2004 Gen. Rel. Grav. 36 661
105. Capozziello S, Demianski M, de Ritis R and Rubano C 1995 Phys. Rev. D 52 3288
106. Tsujikawa S 2007 Preprint 0705.1032 [astro-ph]
107. Capozziello S, Nojiri S and Odintsov S D 2006 Phys. Lett. B 634 93
108. Capozziello S, Nojiri S, Odintsov S D and Troisi A 2006 Phys. Lett. B 639 135
109. Carloni S, Leach J A, Capozziello S and Dunsby P K S 2007 Preprint gr-qc/0701009
110. Amendola L, Gannouji R, Polarski D and Tsujikawa S 2007 Phys. Rev. D 75 083504 [gr-qc/0612180]
111. Fay S, Nesseris S and Perivolaropoulos L 2007 Preprint gr-qc/0703006
112. Morandi G, Ferrario C, Lo Vecchio G, Marmo G and Rubano C 1990 Phys. Rep. 188 149
113. Arnold V I 1978 Mathematical Methods of Classical Mechanics (Berlin: Springer)
114. Marmo G, Saletan E J, Simoni A and Vitale B 1985 Dynamical Systems. A Differential Geometric Approach to Symmetry and Reduction (New York: Wiley)
115. Faraoni V, Gunzig E and Nardone P 1999 Fundam. Cosm. Phys. 20 121 [gr-qc/9811047]
116. Deser S 1970 Ann. Phys., NY 59 248
117. Demianski M, Piedipalumbo E, Rubano C and Tortora C 2006 Astron. Astrophys. 454 55
118. Martin J, Schimd C and Uzan J P 2006 Phys. Rev. Lett. 96 061303 [astro-ph/0510208]
119. Tsujikawa S 2005 Phys. Rev. D 72 083512 [astro-ph/0508542]