Networks of cosmological histories, crossing of the phantom divide line and potentials with cusps

International Journal of Modern Physics D

Volumn 16, Issue 10, 2007, Pages 1683-1704

  Cannata, Francesco ^a   Kamenshchik, Alexander Y ^a,b  

^a INFN SEZIONE DI BOLOGNA   (Italy)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

Cosmology; Dark energy; Phantom field

Indexed keywords

EID: 36549008103     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271807010961     Document Type: Article

References (161)

1. A. Riess et al., Astron. J. 116 (1998) 1009.
2. S. J. Perlmutter et al., Astrophys. J. 517 (1999) 565.
3. V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 9 (2000) 373.
4. T. Padmananbhan, Phys. Rep. 380 (2003) 235.
5. P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75 (2003) 559.
6. V. Sahni, Class. Quant. Grav. 19 (2002) 3435.
7. E. J. Copeland, M. Sami and S. Tsujikawa, Int. J. Mod. Phys. D 15 (2006) 1753.
8. V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 15 (2006) 2105.
9. R. R. Caldwell, R. Dave and P. J. Steinhardt, Phys. Rev. Lett. 80 (1998) 1582.
10. J. A. Frieman and I. Waga, Phys. Rev. D 57 (1998) 4642.
11. C. Armendariz-Picon, T. Damour and V. Mukhanov, Phys. Lett. B 458 (1999) 209.
12. C. Armendariz-Picon, V. Mukhanov and P. J. Steinhardt, Phys. Rev. Lett. 85 (2000) 4438.
13. C. Armendariz-Picon, V. Mukhanov and P. J. Steinhardt, Phys. Rev. D 63 (2001) 103510.
14. T. Chiba, T. Okabe and M. Yamaguchi, Phys. Rev. D 62 (2000) 023511.
15. A. Kamenshchik, U. Moschella and V. Pasquier, Phys. Lett. B 511 (2001) 265.
16. N. Bilic, G. B. Tupper and R. Violeer, Phys. Lett. B 535 (2002) 17.
17. J. C. Fabris, S. V. B. Gonsalves and P. E. de Souza, Gen. Relativ. Gravit. 34 (2002) 53.
18. M. C. Bento, O. Bertolami and A. A. Sen, Phys. Rev. D 66 (2002) 043507.
19. V. Gorini, A. Kamenshchik and U. Moschella, Phys. Rev. D 67 (2003) 063509.
20. A. Sen, J. High Energy Phys. 0204 (2002) 048.
21. G. W. Gibbons, Phys. Lett. B 537 (2002) 1.
22. M. Fairbairn and M. H. G. Tytgat, Phys. Lett. B 546 (2002) 1.
23. S. Mukohyama, Phys. Rev. D 66 (2002) 024009.
24. T. Padmanabhan and T. R. Choudhury, Phys. Rev. D 66 (2002) 081301.
25. M. Sami, P. Chingangbam and T. Qureshi, Phys. Rev. D 66 (2002) 043530.
26. G. N. Felder, L. Kofman and A. Starobinsky, J. High Energy Phys. 0209 (2002) 026.
27. A. Frolov, L. Kofman and A. Starobinsky, Phys. Lett. B 545 (2002) 8.
28. T. Padmanabhan, Phys. Rev. D 66 (2002) 021301.
29. A. Feinstein, Phys. Rev. D 66 (2002) 063511.
30. L. W. Abramo and F. Finelli, Phys. Lett. B 575 (2003) 165.
31. J. S. Bagla, H. K. Jassal and T. Padmanabhan, Phys. Rev. D 67 (2003) 063504.
32. G. Gibbons, Class. Quant. Grav. 20 (2003) S321.
33. M.-B. Causse, A rolling tachyon field for both dark energy and dark halos of galaxies, astro-ph/0312206.
34. B. C. Paul and M. Sami, Phys. Rev. D 70 (2004) 027301.
35. A. Sen, Phys. Scripta T 117 (2005) 70.
36. M. R. Garousi, M. Sami and S. Tsujikawa, Phys. Rev. D 70 (2004) 043536.
37. G. Calcagni, Phys. Rev. D 69 (2004) 103508.
38. J. M. Aguirregabiria and R. Lazkoz, Mod. Phys. Lett. A 19 (2004) 927.
39. J. M. Aguirregabiria and R, Lazkoz, Phys. Rev. D 69 (2004) 123502.
40. R. Herrera, D. Pavón and W. Zimdahl, Gen. Relativ. Gravit. 36 (2004) 2161.
41. N. Barnaby, J. High Energy Phys. 0407 (2004) 025.
42. G. Allemandi, A. Borowiec and M. Francaviglia, Phys. Rev. D 70 (2004) 043524.
43. G. Allemandi, A. Borowiec and M. Francaviglia, Phys. Rev. D 70 (2004) 103503.
44. W. Zimdahl, gr-qc/0505056.
45. G. Allemandi, A. Borowiec, M. Francaviglia, and S. D. Odintsov, Phys. Rev. D 72 (2005) 063505.
46. F. Cooper and G. Venturi, Phys. Rev. D 24 (1981) 3338.
47. B. Ratra and P. J. E. Peebles, Phys. Rev. D 37 (1988) 3406.
48. P. J. E. Peebles and B. Ratra, Astrophys. J. Lett. 325 (1988) L17.
49. C. Wetterich, Nucl. Phys. B 302 (1988) 668.
50. R. R. Caldwell, Phys. Lett. B 545 (2002) 23.
51. P. F. Gonzalez-Diaz, Phys. Lett. B 586 (2004) 1.
52. P. Singh, M. Sami and N. Dadhich, Phys. Rev. D 68 (2003) 023522.
53. S. Nojiri and S. D. Odintsov, Phys. Lett. B 562 (2003) 147.
54. S. Capozziello, S. Nojiri and S. D. Odintsov, Phys. Lett. B 632 (2006) 597.
55. V. B. Johri, Phys. Rev. D 70 (2004) 041303.
56. V. K. Onemli and R. P. Woodard, Class. Quant. Grav. 19 (2000) 4607.
57. S. Hannestad and E. Mortsell, Phys. Rev. D 66 (2002) 063508.
58. S. M. Carroll, M. Hoffman and M. Trodden, Phys. Rev. D 68 (2003) 023509.
59. P. H. Frampton, hep-th/0302007.
60. E. Elizalde, S. Nojiri and S. D. Odintsov, Phys. Rev. D 70 (2004) 043539.
61. P. F. Gonzalez-Diaz and C. L. Siguenza, Nucl. Phys. B 697 (2004) 363.
62. G. W. Gibbons, hep-th/0302199.
63. B. McInnes, astro-ph/0210321.
64. L. P. Chimento and R. Lazkoz, Phys. Rev. Lett. 91 (2003) 211301.
65. M. P. Dabrowski, T. Stachowiak and M. Szydlowski, Phys. Rev. D 68 (2003) 103519.
66. P. Singh, M. Sami and N. Dadhich, Phys. Rev. D 68 (2003) 023522.
67. P. F. Gonzalez-Diaz, Phys. R.ev. D 69 (2004) 063522.
68. V. K. Onemli and R. P. Woodard, Phys. Rev. D 70 (2004) 107301.
69. M. Sami and A. Toporensky, Mod. Phys. Lett. A 19 (2004) 1509.
70. H. Stefancic, Eur. Phys. J. C 36 (2004) 523.
71. H. Stefancic, Phys. Lett. B 586 (2004) 5.
72. T. Brudie;nier, V. K. Onemli and R. P. Woodard, Class. Quant. Grav. 22 (2005) 59.
73. J. Santos and J. S. Alcaniz, Phys. Lett. B 619 (2005) 11.
74. F. C. Carvalho and A. Saa, Phys. Rev. D 70 (2004) 087302.
75. A. Melchiorri, L. Mersini, C. J. Odman and M. Trodden, Phys. Rev. D 68 (2003) 043509.
76. J. M. Cline, S. Jeon and G. D. Moore, Phys. R.ev. D 70 (2004) 043543.
77. Z. K. Guo, Y. S. Piao, X. M. Zhang and Y. Z. Zhang, Phys. Lett. B 608 (2005) 177.
78. B. Feng, X. L. Wang and X. M. Zhang, Phys. Lett. B 607 (2005) 35.
79. I. Y. Aref'eva, A. S. Koshelev and S. Y. Vernov, astro-ph/0412619.
80. X. F. Zhang, H. Li, Y. S. Piao and X. M. Zhang, astro-ph/0501652.
81. G. Calcagni, Phys. Rev. D 71 (2005) 023511.
82. M. Li, B. Feng and X. Zhang, J. Cosmol. Astropart. Phys. 0512 (2005) 002.
83. E. Babichev, V. Dokuchaev and Y. Eroshenko, Class. Quant. Grav. 22 (2005) 143.
84. A. Anisimov, E. Babichev and A. Vikman, J. Cosmol. Astropart. Phys. 0506 (2005) 006.
85. S. Nojiri, S. D. Odintsov and S. Tsujikawa, Phys. Rev. D 71 (2005) 063004.
86. B. Gumjudpai, T. Naskar, M. Sami and S. Tsujikawa, J. Cosmol. Astropart. Phys. 0506 (2005) 007.
87. M. Sami, A. Toporensky, P. V. Tretjakov and S. Tsujikawa, Phys. Lett. B 619 (2005) 193.
88. S. Nojiri and S. D. Odintsov, Gen. Relativ. Gravit. 38 (2006) 1285.
89. I. Brevik, Gen. Relativ. Gravit. 38 (2006) 1317.
90. R. R. Caldwell, M. Kamionkowski and N. N. Weinberg, Phys. Rev. Lett. 91 (2003) 071301.
91. R. Kallosh, J. Kratochvil, A. Linde, E. V. Linder and M. Shmakova, J. Cosmol. Astropart. Phys. 0310 (2003) 015.
92. A. A. Starobinsky, Grav. Cosmol. 6 (2000) 157.
93. U. Alam, V. Sahni, T. D. Saini and A. A. Starobinsky, Mon. Not. R. Astron. Soc. 354 (2004) 275.
94. T. Padmanabhan and T. R. Choudhury, Mon. Not. R. Astron. Soc. 344 (2003) 823.
95. T. R. Choudhury and T. Padmanabhan, astro-ph/0311622.
96. Y. Wang and P. Mukherjee, Astrophys. J. 606 (2004) 654.
97. D. Huterer and A. Cooray, astro-ph/0404062.
98. R, A. Daly and S. G. Djorgovski, Astrophys. J. 597 (2003) 9.
99. J. S. Alcaniz, Phys. Rev. D 69 (2004) 083521.
100. J. A. S. Lima, J. V. Cunha and J. S. Alcaniz, Phys. Rev. D 68 (2003) 023510.
101. U. Alam, V. Sahni and A. A. Starobinsky, J. Cosmol. Astropart. Phys. 0406 (2004) 008.
102. Y. Wang and K. Freese, Phys. Lett. B 632 (2006) 449.
103. A. Upadhye, M. Ishak and P. J. Steinhardt, Phys. Rev. D 72 (2005) 063501.
104. D. A. Dicus and W. W. Repko, Phys. Rev. D 70 (2004) 083527.
105. C. Espana-Bonet and P. Ruiz-Lapuente, hep-ph/0503210.
106. Y. H. Wei, astro-ph/0405368.
107. H. K. Jassal, J. S. Bagla, and T. Padmanabhan, Mon. Not. R. Astron. Soc. Lett. 356 (2005) L11.
108. S. Nesseris and L. Perivolaropoulos, Phys. Rev. D 70 (2004) 043531.
109. R. Lazkoz, S. Nesseris and L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 0511 (2005) 010.
110. H. K. Jassal, J. S. Bagla and T. Padmanabhan, Phys. Rev. D 72 (2005) 103503.
111. B. Feng, M. Li, Y. S. Piao and X. Zhang, astro-ph/0407432.
112. J.-Q. Xia, B. Feng and X.-M. Zhang, Mod. Phys. Lett. A 20 (2005) 2409.
113. A. Cabre, E. Gaztanaga, M. Manera, P. Fosalba and F. Castander, astro-ph/0603690.
114. V. Barger, Y. Gao and D. Marfatia, Phys. Lett. B 648 (2007) 127.
115. A. Gong and A. Wang, Phys. Rev. D 75 (2007) 0435520.
116. U. Alam, V. Sahni and A. A. Starobinsky, J. Cosmol. Astropart. Phys. 0702 (2007) 011.
117. S. Nesseris and L. Perivolaropoulos, J. Cosmol. Astropart. Phys. 0702 (2007) 025.
118. G.-B. Zhao et al., astro-ph/0612728.
119. P. Serra, A. Heavens and A. Melchiorri, astro-ph/0701338.
120. T. M. Davis et al., astro-ph/0701510.
121. E. L. Wright, astro-ph/0701584.
122. Y. Wang and P. Mukherjee, astro-ph/0703780.
123. B. Boisseau, G. Esposito-Farese, D. Polarski and A. A. Starobinsky, Phys. Rev. Lett. 85 (2000) 2236.
124. G. Esposito-Farese and D. Polarski, Phys. Rev. D 63 (2001) 063504.
125. A. Vikman, Phys. Rev. D 71 (2005) 023515.
126. L. Perivolaropoulos, Phys. Rev. D 71 (2005) 063503.
127. B. McInnes, Nucl. Phys. B 718 (2005) 55.
128. I. Ya. Aref'eva, A. S. Koshelev and S. Yu. Vernov, Phys. Rev. D 72 (2005) 064017.
129. L. Perivolaroupoulos, J. Cosmol. Astropart. Phys. 0510 (2005) 001.
130. R. R. Caldwell and M. Doran, Phys. Rev. D 72 (2005) 043527.
131. V. Sahni and Y. Shtanov, J. Cosmol. Astropart. Phys. 0311 (2003) 014.
132. V. Sahni and L. Wang, Phys. Rev. D 62 (2000) 103517.
133. A. A. Andrianov, F. Cannata and A. Y. Kamenshchik, gr-qc/0512038.
134. H. Wei, R.-G. Cai and D.-F. Zeng, Class. Quant. Grav. 22 (2005) 3189.
135. H. Wei and R.-G. Cai, Phys. Rev. D 72 (2005) 123507.
136. H. Wei and R.-G. Cai, Phys. Lett. B 634 (2006) 9.
137. R.-G. Cai and A. Wang, J. Cosmol. Astropart. Phys. 0503 (2005) 002.
138. R. Gannouji, D. Polarski, A. Ranquet and A. A. Starobinsky, J. Cosmol. Astropart. Phys. 0609 (2006) 016.
139. A. A. Andrianov, F. Cannata and A. Y. Kamenshchik, Phys. Rev. D 72 (2005) 043531.
140. F. Lucchin and S. Matarrese, Phys. Rev. D 32 (1985) 1316.
141. J. J. Halliwell, Phys. Lett. B 185 (1987) 341.
142. J. D. Barrow, Phys. Lett. B 187 (1987) 12.
143. A. B. Burd and J. D. Barrow, Nucl. Phys. B 308 (1988) 929.
144. B. Ratra, Phys. Rev. D 45 (1992) 1913.
145. J. D. Barrow, Phys. Lett. B 235 (1990) 40.
146. J. E. Lidsey, Class. Quant. Grav. 9 (1992) 1239.
147. S. Capozziello, R. de Ritis, C. Rubáno and P. Scudellaro, Riv. Nuovo Cimento 19 (1996) 1.
148. A. A. Coley, J. Ibanez and R,. J. van den Hoogen, J. Math. Phys. 38 (1997) 5256.
149. C. Rubano and P. Scudellaro, Gen. Relativ. Gravit. 34 (2002) 307.
150. V. M. Zhuravlev, S. V. Chervon and V. K. Shchigolev, J. Exp. Theor. Phys. 87 (1998) 223.
151. S. V. Chervon and V. M. Zhuravlev, gr-qc/9907051.
152. A. V. Yurov, astro-ph/0305019.
153. A. V. Yurov and S. D. Vereshchagin, Theor. Math. Phys. 139 (2004) 787.
154. A. A. Starobinsky, J. Exp. Theor. Phys. Lett. 68 (1998) 757.
155. J. Simon, L. Verde and R, Jimenez, Phys. Rev. D 71 (2005) 123001.
156. Z.-K. Guo, N. Ohta and Y.-Z. Zhang, Phys. Rev. D 72 (2005) 023504 [astro-ph/0603109].
157. V. Gorini, A. Kamenshchik, U. Moschella and V. Pasquier, Phys. Rev. D 69 (2004) 123512.
158. J. D. Barrow, Class. Quant. Grav. 21 (2004) L79.
159. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
160. K. Chadan and R. Kobayashi, math-ph/0510047; math-ph/0602002.
161. F. Cooper, A. Khare and U. P. Sukhatme, Supersymmetry in Quantum Mechanics (World Scientific, Singapore, 2001).