The Cauchy problem of f(R) gravity

Classical and Quantum Gravity

Volumn 24, Issue 22, 2007, Pages 5667-5679

  Lanahan Tremblay, Nicolas ^a   Faraoni, Valerio ^a  

^a BISHOP'S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 38549146323     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/24/22/024     Document Type: Article

References (158)

1. Riess A G et al 1998 Astron. J. 116 1009
2. Riess A G et al 1999 Astron. J. 118 2668
3. Riess A G et al 2001 Astrophys. J. 560 49
4. Riess A G et al 2004 Astrophys. J. 607 665
5. Perlmutter S et al 1998 Nature 391 51
6. Perlmutter S et al 1999 Astrophys. J. 517 565
7. Tonry J L et al 2003 Astrophys. J. 594 1
8. Knop R et al 2003 Astrophys. J. 598 102
9. Barris B et al 2004 Astrophys. J. 602 571
10. Riess A G et al 2006 Preprint astro-ph/0611572
11. Capozziello S, Carloni S and Troisi A 2003 Preprint astro-ph/0303041
12. Carroll S M, Duvvuri V, Trodden M and Turner M S 2004 Phys. Rev. D 70 043528
13. Wald R M 1984 General Relativity (Chicago, IL: Chicago University Press)
14. Schmidt H-J 2007 Int. J. Geom. Meth. Mod. Phys. 4 209 (Preprint gr-qc/0602017)
15. Weyl H 1918 Stz. Preuss. Akad. Wiss. 1 465
16. Weyl H 1950 Space, Time, Matter (New York: Dover)
17. Bach R 1921 Math. Zeischfr. 9 110
18. Lanczos C 1932 Zeitshfr. Phys. 73 147
19. Eddington A 1925 The Theory of Relativity (Berlin: Springer)
20. Schrödinger E 1950 Space-Time Structure (Cambridge: Cambridge University Press)
21. Buchdhal H 1948 Quart. J. Math. Oxford 19 150
22. Buchdhal H 1948 Proc. Nat. Acad. Sci. USA 34 66
23. Buchdhal H 1951 Acta Mathematica 85 63
24. Buchdhal H 1951 J. London Math. Soc. 26 139
25. Buchdhal H 1951 J. London Math. Soc. 26 150
26. Buchdhal H 1953 Proc. Edimburgh Math. Soc. 10 16
27. Buchdhal H 1962 Nuovo Cimento 23 141
28. Buchdhal H 1979 Tensor 21 340
29. Buchdhal H 1970 Proc. Cambr. Phil. Soc. 68 179
30. Buchdhal H 1970 Mon. Not. R. Astr. Soc. 150 1
31. Buchdhal H 1973 Proc. Canbr. Phil. Soc. 74 145
32. Buchdhal H 1978 J. Phys. A: Math. Gen. 11 871
33. Buchdhal H 1978 Int. J. Theor. Phys. 17 149
34. Utiyama R and DeWitt B 1962 J. Math. Phys 3 608
35. Stelle K S 1977 Phys. Rev. D 16 953
36. Strominger A 1984 Phys. Rev. D 30 2257
37. Buchbinder I L, Odintsov S D and Shapiro I L 1992 Effective Action in Quantum Gravity (Bristol: Institute of Physics)
38. Vilkovisky G 1992 Class. Quantum Grav. 9 985
39. See also Codello A and Percacci R 2006 Phys. Rev. Lett. 97 221301
40. Starobinsky A A 1980 Phys. Lett. B 91 99
41. Mihic M B, Morris M S and Suen W-M 1986 Phys. Rev. D 34 2934
42. Amendola L, Capozziello S, Litterio M and Occhionero F 1992 Phys. Rev. D 45 417
43. Occhionero F and Amendola L 1994 Phys. Rev. D 50 4846
44. Vollick D N 2003 Phys. Rev. D 68 063510
45. Sotiriou T P and Liberati S 2007 Ann. Phys. 322 935
46. Poplawski N J 2006 Class. Quantum Grav. 23 2011
47. Poplawski N J 2006 Class. Quantum Grav. 23 4819
48. Erickcek A L, Smith T L and Kamionkowski M 2006 Phys. Rev. D 74 121501
49. Chiba T, Smith T L and Erickcek A L 2007 Phys. Rev. D 75 124014
50. Soussa M E and Woodard R P 2004 Gen. Rel. Grav. 36 855
51. Dick R 2004 Gen. Rel. Grav. 36 217
52. Dominguez A E and Barraco D E 2004 Phys. Rev. D 70 043505
53. Easson D A 2004 Int. J. Mod. Phys. A 19 5343
54. Olmo G J 2005 Phys. Rev. Lett. 95 261102
55. Olmo G J 2005 Phys. Rev. D 72 083505
56. Olmo G J 2005 Preprint gr-qc/0505135 gr-qc/0505136
57. Navarro I and Van Acoleyen K 2005 Phys. Lett. B 622 1
58. Allemandi G, Francaviglia M, Ruggiero M L and Tartaglia A 2005 Gen. Rel. Grav. 37 1891
59. Cembranos J A R 2006 Phys. Rev. D 73 064029
60. Capozziello S and Troisi A 2005 Phys. Rev. D 72 044022
61. Clifton T and Barrow J D 2005 Phys. Rev. D 72 103005
62. Sotiriou T P 2006 Gen. Rel. Grav. 38 1407
63. Shao C-G, Cai R-G, Wang B and Su R-K 2006 Phys. Lett. B 633 164
64. Faraoni V 2006 Phys. Rev. D 74 023529
65. Capozziello S, Stabile A and Troisi A 2006 Mod. Phys. Lett. A 21 2291
66. Capozziello S, Stabile A and Troisi A 2007 Preprint 0708.0723
67. Capozziello S, Stabile A and Troisi A 2007 Preprint 0709.0891
68. Allemandi G and Ruggiero M L 2006 Preprint astro-ph/0610661
69. Allemandi G and Ruggiero M L 2006 Preprint astro-ph/0619661
70. Allemandi G, Francaviglia M, Ruggiero M L and Tartaglia A 2005 Gen. Rel. Grav. 37 1891
71. Jin X-H, Liu D-J and Li X-Z 2006 Preprint astro-ph/0610854
72. Zakharov A F, Nucita A A, De Paolis F and Ingrosso G 2006 Phys. Rev. D 74 107101
73. Dolgov A D and Kawasaki M 2003 Phys. Lett. B 573 1
74. Faraoni V 2006 Phys. Rev. D 74 104017
75. Nojiri S and Odintsov S D 2003 Phys. Rev. D 68 123512
76. Nojiri S and Odintsov S D 2004 Gen. Rel. Grav. 36 1765
77. Nojiri S 2004 TPU Vestnik 44N7 49 (Preprint hep-th/0407099)
78. Multamaki T and Vilja I 2006 Phys. Rev. D 73 024018
79. Sawicki I and Hu W 2007 Phys. Rev. D 75 127502
80. Song Y-S, Hu W and Sawicki I 2007 Phys. Rev. D 75 044004
81. Nojiri S and Odintsov S D 2007 Phys. Lett. B 652 343 (Preprint 0707.1941)
82. Navarro I and Van Acoleyen K 2006 J. Cosmol. Astropart. Phys. JCAP03(2006)008
83. Cognola G, Elizalde E, Nojiri S, Odintsov S D and Zerbini S 2005 J. Cosmol. Astropart. Phys. JCAP02(2005)010
84. Cognola G, Elizalde E, Nojiri S, Odintsov S D and Zerbini S 2006 J. Phys. A: Math. Gen. 39 6245
85. Cognola G, Gastaldi M and Zerbini S 2007 Preprint gr-qc/0701138
86. Clifton T and Barrow J D 2005 Phys. Rev. D 72 123003
87. Clifton T and Barrow J D 2006 Class. Quantum Grav. 23 L1
88. Clifton T and Barrow J D 2005 Phys. Rev. D 72 103005
89. Nnez A and Solganik S 2005 Phys. Lett. B 608 189
90. Chiba T 2005 J. Cosmol. Astropart. Phys. JCAP03(2005)008
91. Wang P 2005 Phys. Rev. D 72 024030
92. Barrow J D and Hervik S 2006 Phys. Rev. D 73 023007
93. Calcagni G, de Carlos B and De Felice A 2006 Nucl. Phys. B 752 404
94. Dolgov A and Pelliccia D N 2006 Nucl. Phys. B 734 208
95. Traschen J and Hill C T 1986 Phys. Rev. D 33 3519
96. Müller V, Schmidt H-J and Starobinsky A A 1988 Phys. Lett. 202B 198
97. Schmidt H-J 1988 Class. Quantum Grav. 5 233
98. Battaglia Mayer A and Schmidt H-J 1993 Class. Quantum Grav. 10 2441
99. Faraoni V 2007 Phys. Rev. D 75 067302
100. Faraoni V 2005 Phys. Rev. D 72 061501
101. Faraoni V 2004 Phys. Rev. D 70 044037
102. Faraoni V and Nadeau S 2005 Phys. Rev. D 72 124005
103. Setare M R 2007 Phys. Lett. B 644 99
104. Sotiriou T P 2007 Phys. Lett. B 645 389
105. Bertolami O 1987 Phys. Lett. B 186 161
106. Faraoni V 2001 Int. J. Theor. Phys. 40 2259
107. Briscese F, Elizalde E, Nojiri S and Odintsov S D 2007 Phys. Lett. B 646 105
108. Amendola L, Polarski D and Tsujikawa S 2007 Phys. Rev. Lett. 98 131302
109. Capozziello S, Nojiri S, Odintsov S D and Troisi A 2006 Phys. Lett. B 639 135
110. Amendola L, Polarski D and Tsujikawa S 2006 Preprint astro-ph/0605384
111. Nojiri S and Odintsov S D 2006 Phys. Rev. D 74 086005
112. Nojiri S and Odintsov S D 2007 J. Phys. A: Math. Gen. 40 6725
113. Nojiri S and Odintsov S D 2007 J. Phys. Conf. Ser. 66 012005
114. Amendola L, Gannouji R, Polarski D and Tsujikawa S 2007 Phys. Rev. D 75 083504
115. Brookfield A W, van de Bruck C and Hall L M C 2006 Phys. Rev. D 74 064028
116. Capozziello S, Cardone V and Troisi A 2005 Phys. Rev. D 71 043503
117. Cruz-Dombriz A and Dobado A 2006 Phys. Rev. D 74 087501
118. Fay S, Nesseris S and Perivolaropoulos L 2007 Phys. Rev. D 76 063504
119. Fay S, Tavakol R and Tsujikawa S 2007 Phys. Rev. D 75 063509
120. Stelle K 1978 Gen. Rel. Grav. 9 353
121. Ferraris M, Francaviglia M and Magnano G 1988 Class. Quantum Grav. 5 L95
122. Nnez A and Solganik S 2004 Preprint hep-th/0403159
123. Nnez A and Solganik S 2005 Phys. Lett. B 608 189
124. Chiba T 2005 J. Cosmol. Astropart. Phys. JCAP03(2005)008
125. De Felice A, Hindmarsh M and Trodden M 2006 J. Cosmol. Astropart. Phys. JCAP08(2006)005
126. Riegert R J 1984 Phys. Lett. A 105 110
127. Navarro I and Van Acoleyen K 2006 J. Cosmol. Astropart. Phys. JCAP03(2006)008
128. Comelli D 2005 Phys. Rev. D 72 064018
129. Noakes D R 1983 J. Math. Phys. 24 1846
130. Teyssandier P and Tourrenc P 1983 J. Math. Phys. 24 2793
131. Higgs P W 1959 Nuovo Cimento 11 816
132. Whitt B 1984 Phys. Lett. B 145 176
133. Wands D 1994 Class. Quantum Grav. 11 269
134. Chiba T 2003 Phys. Lett. B 575 1
135. Salgado M 2006 Class. Quantum Grav. 23 4719
136. Solín P 2006 Partial Differential Equations and the Finite Element Method (New York: Wiley)
137. Magnano G and Sokolowski L 1994 Phys. Rev. D 50 5039
138. Brans C H and Dicke R H 1961 Phys. Rev. 124 925
139. O'Hanlon J 1972 Phys. Rev. Lett. 29 137
140. Ferraris M, Francaviglia M and Volovich I 1993 Preprint gr-qc/9303007
141. Faraoni V and Nadeau S 2007 Phys. Rev. D 75 023501
142. Synge J L 1955 Relativity: The General Theory (Amsterdam: North Holland)
143. Faraoni V 2004 Cosmology in Scalar-Tensor Gravity (Dordrecht: Kluwer)
144. Anderson J L 1971 Phys. Rev. D 3 1689
145. O'Hanlon J and Tupper B 1972 Nuovo Cimento B 7 305
146. O'Hanlon J 1972 J. Phys. A: Gen. Phys. 5 803
147. Deser S 1970 Ann. Phys., NY 59 248
148. Barber G A 2003 Preprint gr-qc/0302088
149. Davidson A 2005 Class. Quantum Grav. 22 1119
150. Dabrowski M P, Denkiewicz T and Blaschke D 2007 Ann. Phys. (Leipzig) 16 237 (Preprint hep-th/0507068)
151. Boisseau B, Esposito-Farèse G, Polarski D and Starobinsky A A 2000 Phys. Rev. Lett. 85 2236
152. Cocke J and Cohen J M 1968 J. Math. Phys. 9 971
153. Sotiriou T P, Faraoni V and Liberati S 2007 Preprint 0707.2748
154. Reula O A 1998 Living Rev. Rel. 1 3
155. Barausse E, Sotiriou T P and Miller J C 2007 Preprint gr-qc/0703132
156. Iglesias A, Kaloper N, Padilla A and Park M 2007 Preprint 0708.1163
157. Deser S 2006 Class. Quantum Grav. 23 5773
158. Nojiri S and Odintsov S D 2007 Int. J. Geom. Meth. Mod. Phys. 4 115