Predictions in eternal inflation

Lecture Notes in Physics

Volumn 738, Issue , 2008, Pages 157-191

  Winitzki, Sergei ^a  

^a UNIVERSITY OF MUNICH   (Germany)

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EID: 35548988087     PISSN: 00758450     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-74353-8_5     Document Type: Article

References (171)

1. A. Vilenkin, Phys. Rev. D27, 2848 (1983).
2. A. A. Starobinsky, in Current Topics in Field Theory, Quantum Gravity and Strings, Lecture Notes in Physics 206, eds H. J. de Vega and N. Sanchez (Springer Verlag), p. 107.
3. A. D. Linde, Phys. Lett. B175, 395-400 (1986).
4. A. S. Goncharov, A. D. Linde and V. F. Mukhanov, Int. J. Mod. Phys. A2, 561-591 (1987).
5. A. Vilenkin and L. H. Ford, Phys. Rev. D26, 1231 (1982).
6. A. D. Linde, Phys. Lett. B116, 335 (1982).
7. A. A. Starobinsky, Phys. Lett. B117, 175-178 (1982).
8. A. Vilenkin, Nucl. Phys. B226, 527 (1983).
9. R. H. Brandenberger, Nucl. Phys. B245, 328 (1984).
10. A. H. Guth and S.-Y. Pi, Phys. Rev. D32, 1899-1920 (1985).
11. J. M. Bardeen, P. J. Steinhardt and M. S. Turner, Phys. Rev. D28, 679 (1983).
12. G. W. Gibbons and S. W. Hawking, Phys. Rev. D15, 2738-2751 (1977).
13. S. W. Hawking and I. G. Moss, Phys. Lett. B110, 35 (1982).
14. S. W. Hawking and I. G. Moss, Nucl. Phys. B224, 180 (1983).
15. A. Vilenkin, Eternal inflation and chaotic terminology, gr-qc/0409055.
16. A. Borde and A. Vilenkin, Phys. Rev. Lett. 72, 3305-3309 (1994).
17. A. Borde, A. H. Guth and A. Vilenkin, Phys. Rev. Lett. 90, 151301 (2003).
18. A. Vilenkin, Phys. Rev. D52, 3365-3374 (1995).
19. V. Vanchurin, A. Vilenkin and S. Winitzki, Phys. Rev. D61, 083507 (2000).
20. D. A. Lowe and D. Marolf, Phys. Rev. D70, 026001 (2004).
21. C.-H.Wu, K.-W. Ng and L. H. Ford, Constraints on the duration of inflationary expansion from quantum stress tensor fluctuations, gr-qc/ 0608002.
22. A. D. Linde, Phys. Lett. B259, 38-47 (1991).
23. A. D. Linde, Phys. Rev. D49, 748-754 (1994).
24. J. Garcia-Bellido, A. D. Linde and D. A. Linde, Phys. Rev. D50, 730-750 (1994).
25. J. Garcia-Bellido, Nucl. Phys. B423, 221-242 (1994).
26. J. Garcia-Bellido and D. Wands, Phys. Rev. D52, 5636-5642 (1995).
27. A. D. Linde, Phys. Lett. B327, 208-213 (1994).
28. A. Vilenkin, Phys. Rev. Lett. 72, 3137-3140 (1994).
29. K. E. Kunze, Phys. Lett. B587, 1-6 (2004).
30. J. Garriga and A. Vilenkin, Phys. Rev. D57, 2230-2244 (1998).
31. L. Susskind, The anthropic landscape of string theory, hep-th/0302219.
32. S. R. Coleman and F. De Luccia, Phys. Rev. D21, 3305 (1980).
33. A. H. Guth, Eternal inflation, Ann. N.Y. Acad. Sci. 950, 66-82 (2001).
34. A. H. Guth and E. J. Weinberg, Nucl. Phys. B212, 321 (1983).
35. J. Garriga, A. H. Guth and A. Vilenkin, Eternal inflation, bubble collisions, and the persistence of memory, hep-th/0612242.
36. A. H. Guth, Phys. Rev. D23, 347-356 (1981).
37. J. Garriga, V. F. Mukhanov, K. D. Olum and A. Vilenkin, Int. J. Theor. Phys. 39, 1887-1900 (2000).
38. J. Garriga and A. Vilenkin, Phys. Rev. D64, 043511 (2001).
39. D. S. Goldwirth and T. Piran, Phys. Rept. 214, 223-291 (1992).
40. A. D. Linde, Phys. Lett. B129, 177-181 (1983).
41. A. D. Linde, Mod. Phys. Lett. A1, 81 (1986).
42. J. Martin and M. A. Musso, Phys. Rev. D71, 063514 (2005).
43. F. Helmer and S. Winitzki, Phys. Rev. D74, 063528 (2006).
44. S. M. Carroll, Living Rev. Rel. 4, 1 (2001). 162
45. A. Vilenkin, Phys. Rev. Lett. 81, 5501-5504 (1998).
46. J. Garriga, T. Tanaka and A. Vilenkin, Phys. Rev. D60, 023501 (1999).
47. J. Garriga and A. Vilenkin, Phys. Rev. D61, 083502 (2000).
48. J. Garriga, M. Livio and A. Vilenkin, Phys. Rev. D61, 023503 (2000).
49. J. Garriga and A. Vilenkin, Phys. Rev. D67, 043503 (2003).
50. J. Garriga, A. Linde and A. Vilenkin, Phys. Rev. D69, 063521 (2004).
51. J. Garriga and A. Vilenkin, Prog. Theor. Phys. Suppl. 163, 245-257 (2006).
52. M. Tegmark, A. Vilenkin and L. Pogosian, Phys. Rev. D71, 103523 (2005).
53. M. Tegmark, A. Aguirre, M. Rees and F. Wilczek, Phys. Rev. D73, 023505 (2006).
54. L. J. Hall, T. Watari and T. T. Yanagida, Phys. Rev. D73, 103502 (2006).
55. M. Susperregi, Phys. Rev. D55, 560-572 (1997).
56. B. Feldstein, L. J. Hall and T. Watari, Phys. Rev. D72, 123506 (2005).
57. W. Lerche, D. Lust and A. N. Schellekens, Nucl. Phys. B287, 477 (1987).
58. R. Bousso and J. Polchinski, JHEP, 06, 006 (2000).
59. S. Kachru, R. Kallosh, A. Linde and S. P. Trivedi, Phys. Rev. D68, 046005 (2003).
60. F. Denef and M. R. Douglas, JHEP 05, 072 (2004).
61. D. Schwartz-Perlov and A. Vilenkin, JCAP 0606, 010 (2006).
62. A. Aguirre, S. Gratton and M. C. Johnson, Hurdles for recent measures in eternal inflation, hep-th/0611221.
63. V. F. Mukhanov and G. V. Chibisov, JETP Lett. 33, 532-535 (1981).
64. V. F. Mukhanov and G. V. Chibisov, Sov. Phys. JETP 56, 258-265 (1982).
65. S. W. Hawking, Phys. Lett. B115, 295 (1982).
66. A. H. Guth and S. Y. Pi, Phys. Rev. Lett. 49, 1110-1113 (1982).
67. V. F. Mukhanov, H. A. Feldman and R. H. Brandenberger, Phys. Rept. 215, 203-333 (1992).
68. R. H. Brandenberger, Rev. Mod. Phys. 57, 1 (1985).
69. D. Polarski and A. A. Starobinsky, Class. Quant. Grav. 13, 377-392 (1996).
70. C. Kiefer and D. Polarski, Annalen Phys. 7, 137-158 (1998).
71. C. Kiefer, J. Lesgourgues, D. Polarski and A. A. Starobinsky, Class. Quant. Grav. 15, L67-L72 (1998).
72. C. Kiefer, D. Polarski and A. A. Starobinsky, Int. J. Mod. Phys. D7 455-462 (1998).
73. C. Kiefer, D. Polarski and A. A. Starobinsky, Phys. Rev. D62, 043518 (2000).
74. C. Kiefer, I. Lohmar, D. Polarski and A. A. Starobinsky, Class. Quant. Grav. 24, 1699 (2007).
75. L. Raul W. Abramo, R. H. Brandenberger and V. F. Mukhanov, Phys. Rev. D56, 3248-3257 (1997).
76. N. Afshordi and R. H. Brandenberger, Phys. Rev. D63, 123505 (2001).
77. L. R. Abramo and R. P. Woodard, Phys. Rev. D65, 043507 (2002).
78. L. R. Abramo and R. P. Woodard, Phys. Rev. D65, 063515 (2002).
79. L. R. Abramo and R. P. Woodard, Phys. Rev. D65, 063516 (2002).
80. G. Geshnizjani and R. Brandenberger, JCAP 0504, 006 (2005).
81. G. Geshnizjani and N. Afshordi, JCAP 0501, 011 (2005).
82. E. O. Kahya and V. K. Onemli, Quantum stability of a w < -1 phase of cosmic acceleration, gr-qc/0612026.
83. H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. 78, 1-166 (1984).
84. A. V. Frolov and L. Kofman, JCAP 0305, 009 (2003).
85. A. Borde and A. Vilenkin, Phys. Rev. D56, 717-723 (1997).
86. S. Winitzki, Null energy condition violations in eternal inflation, gr-qc/0111109.
87. T. Vachaspati, Eternal inflation and energy conditions in de sitter spacetime, astro-ph/0305439.
88. S. Dutta and T. Vachaspati, Phys. Rev. D71, 083507 (2005).
89. Y.-S. Piao, Phys. Rev. D72, 103513 (2005).
90. S. Dutta, Phys. Rev. D73, 063524 (2006).
91. M. Morikawa, Prog. Theor. Phys. 77, 1163-1177 (1987).
92. M. Morikawa, Phys. Rev. D42, 1027-1034 (1990).
93. B. L. Hu and A. Matacz, Phys. Rev. D51, 1577-1586 (1995).
94. E. Calzetta and B. L. Hu, Phys. Rev. D52, 6770-6788 (1995).
95. A. Matacz, Phys. Rev. D55, 1860-1874 (1997).
96. A. Matacz, Phys. Rev. D56, 1836-1840 (1997).
97. H. Kubotani, T. Uesugi, M. Morikawa and A. Sugamoto, Prog. Theor. Phys. 98, 1063-1080 (1997).
98. R. P. Woodard, Nucl. Phys. Proc. Suppl. 148, 108-119 (2005).
99. N. C. Tsamis and R. P. Woodard, Nucl. Phys. B724, 295-328 (2005).
100. R. P. Woodard, Generalizing starobinskii's formalism to yukawa theory and to scalar QED, gr-qc/0608037.
101. S.-P. Miao and R. P. Woodard, Phys. Rev. D74, 044019 (2006).
102. T. Prokopec, N. C. Tsamis and R. P. Woodard, Class. Quant. Grav. 24 201-230 (2007).
103. S.-J. Rey, Nucl. Phys. B284, 706 (1987).
104. K. Nakao, Y. Nambu and M. Sasaki, Prog. Theor. Phys. 80, 1041 (1988).
105. H. E. Kandrup, Phys. Rev. D39, 2245 (1989).
106. Y. Nambu and M. Sasaki, Phys. Lett. B219, 240 (1989).
107. Y. Nambu, Prog. Theor. Phys. 81, 1037 (1989).
108. M. Mijic, Phys. Rev. D42, 2469-2482 (1990).
109. D. S. Salopek and J. R. Bond, Phys. Rev. D43, 1005-1031 (1991).
110. A. D. Linde and A. Mezhlumian, Phys. Lett. B307, 25-33 (1993).
111. A. D. Linde, D. A. Linde and A. Mezhlumian, Phys. Rev. D49, 1783-1826 (1994).
112. D. S. Salopek and J. R. Bond, Phys. Rev. D42, 3936-3962 (1990).
113. A. R. Liddle, P. Parsons and J. D. Barrow, Phys. Rev. D50, 7222-7232 (1994).
114. M. Bellini, H. Casini, R. Montemayor and P. Sisterna, Phys. Rev. D54 7172-7180 (1996).
115. H. Casini, R. Montemayor and P. Sisterna, Phys. Rev. D59, 063512 (1999).
116. S. Winitzki and A. Vilenkin, Phys. Rev. D61, 084008 (2000).
117. S. Matarrese, M. A. Musso and A. Riotto, JCAP 0405, 008 (2004).
118. M. Liguori, S. Matarrese, M. Musso and A. Riotto, JCAP 0408, 011 (2004).
119. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (North- Holland, Amsterdam, 1981).
120. H. Risken, The Fokker-Planck Equation (Springer-Verlag, 1989).
121. J. Garriga and V. F. Mukhanov, Phys. Lett. B458, 219-225 (1999).
122. A. Vilenkin, Phys. Rev. D59, 123506 (1999).
123. S. Winitzki and A. Vilenkin, Phys. Rev. D53, 4298-4310 (1996).
124. S. Winitzki, Phys. Rev. D71, 123507 (2005).
125. S. Matarrese, A. Ortolan and F. Lucchin, Phys. Rev. D40, 290 (1989).
126. J. Garcia-Bellido and A. D. Linde, Phys. Rev. D51, 429-443 (1995).
127. A. D. Linde, Phys. Lett. B108, 389-393 (1982).
128. A. D. Linde, Phys. Lett. B114, 431 (1982).
129. A. D. Linde, Phys. Lett. B116, 340 (1982).
130. A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220-1223 (1982).
131. H. M. Hodges, Phys. Rev. D39, 3568-3570 (1989).
132. I. Yi, E. T. Vishniac and S. Mineshige, Phys. Rev. D43, 362-368 (1991).
133. Y. V. Shtanov, Phys. Rev. D52, 4287-4294 (1995).
134. J. Martin and M. Musso, Phys. Rev. D73, 043516 (2006).
135. S. Gratton and N. Turok, Phys. Rev. D72, 043507 (2005).
136. J. Martin and M. Musso, Phys. Rev. D73, 043517 (2006).
137. M. Tegmark, JCAP 0504, 001 (2005).
138. A. D. Linde, D. A. Linde and A. Mezhlumian, Phys. Lett. B345, 203-210 (1995).
139. S. Winitzki, Phys. Rev. D65, 083506 (2002).
140. M. Aryal and A. Vilenkin, Phys. Lett. B199, 351 (1987).
141. J. R. Gott, Nature 295, 304-307 (1982).
142. J. R. Gott and T. S. Statler, Phys. Lett. B136, 157-161 (1984).
143. M. Bucher, A. S. Goldhaber and N. Turok, Phys. Rev. D52, 3314-3337 (1995).
144. M. Bucher, A. S. Goldhaber and N. Turok, Nucl. Phys. Proc. Suppl. 43 173-176 (1995).
145. K. Yamamoto, M. Sasaki and T. Tanaka, Astrophys. J. 455, 412-418 (1995).
146. S. R. Coleman, Phys. Rev. D15, 2929-2936 (1977).
147. K.-M. Lee and E. J. Weinberg, Phys. Rev. D36, 1088 (1987).
148. J. Garriga, Phys. Rev. D49, 6327-6342 (1994).
149. E. Farhi and A. H. Guth, Phys. Lett. B183, 149 (1987).
150. E. Farhi, A. H. Guth and J. Guven, Nucl. Phys. B339, 417-490 (1990).
151. R. Bousso, Phys. Rev. D71, 064024 (2005).
152. L. F. Abbott and S. R. Coleman, Nucl. Phys. 259, 170 (1985).
153. J. Garriga, D. Schwartz-Perlov, A. Vilenkin and S. Winitzki, JCAP 0601, 017 (2006).
154. S. Winitzki, Phys. Rev. D71, 123523 (2005).
155. V. Vanchurin and A. Vilenkin, Phys. Rev. D74, 043520 (2006).
156. R. Bousso, Phys. Rev. Lett. 97, 191302 (2006).
157. P. Lancaster, Theory of Matrices (Academic Press, New York, 1969).
158. J. L. Doob, Stochastic Processes (Wiley, New York, 1953).
159. D. Kannan, Introduction to Stochastic Processes (North-Holland, New York, 1979).
160. A. D. Linde, JETP Lett. 38, 176-179 (1983).
161. X. Chen, S. Sarangi, S. H. Henry Tye and J. Xu, JCAP 0611, 015 (2006).
162. G. W. Gibbons and N. Turok, The measure problem in cosmology, hep-th/ 0609095.
163. R. Easther, E. A. Lim and M. R. Martin, JCAP 0603, 016 (2006).
164. J. Garriga and A. Vilenkin, Phys. Rev. D64, 023507 (2001).
165. R. Bousso, B. Freivogel and I-S. Yang, Phys. Rev. D74, 103516 (2006).
166. R. Bousso, Precision cosmology and the landscape, hep-th/0610211.
167. A. D. Linde and A. Mezhlumian, Phys. Rev. D53, 4267-4274 (1996).
168. A. Vilenkin and S. Winitzki, Phys. Rev. D55, 548-559 (1997).
169. A. Aguirre, S. Gratton and M. C. Johnson, Measures on transitions for cosmology from eternal inflation hep-th/0612195.
170. V. Vanchurin, Phys. Rev. D75, 023524 (2007).
171. A. D. Linde and D. A. Linde, Phys. Rev. D50, 2456-2468 (1994).