Can the Universe create itself?

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 58, Issue 2, 1998, Pages

  Gott III, J Richard ^a   Li, Li Xin ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0542395144     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.58.023501     Document Type: Article

References (189)

1. A. Einstein, Sitzungsber. Preuss. Akad. Wiss., p. 142 (1917).
2. W. J. van Stockum, Proc. R. Soc. Edinburgh 57, 135 (1937).
3. K. Gödel, Rev. Mod. Phys. 21, 447 (1949).
4. A. H. Taub, Ann. Math. 53, 472 (1951).
5. E. T. Newman, L. Tamburino, and T. J. Unti, J. Math. Phys. 4, 915 (1963).
6. C. W. Misner, in Relativity Theory and Astrophysics I: Relativity and Cosmology, edited by J. Ehlers, Lectures in Applied Mathematics Vol. 8 (American Mathematical Society, Providence, 1967), p. 160.
7. M. S. Morris, K. S. Thorne, and U. Yurtsever, Phys. Rev. Lett. 61, 1446 (1988).
8. J. R. Gott, Phys. Rev. Lett. 66, 1126 (1991).
9. K. S. Thorne, in General Relativity and Gravitation 1992: Proceedings of the 13th International Conference on General Relativity and Gravitation, edited by R. J. Gleiser, C. N. Kozameh, and O. M. Moreschi (IOP Publishing, Bristol, 1993), p. 295.
10. M. Visser, Lorentzian Wormholes - from Einstein to Hawking (AIP, New York, 1995).
11. A. Vilenkin, Phys. Lett. 117B, 25 (1982).
12. J. B. Hartle and S. W. Hawking, Phys. Rev. D 28, 2960 (1983).
13. S. W. Hawking, A Brief History of Time, From the Big Bang to Black Holes (Bantam Books, New York, 1988).
14. W. A. Hiscock and D. A. Konkowski, Phys. Rev. D 26, 1225 (1982).
15. V. P. Frolov, Phys. Rev. D 43, 3878 (1991).
16. S.-W. Kim and K. S. Thorne, Phys. Rev. D 43, 3929 (1991).
17. G. Klinkhammer, Phys. Rev. D 46, 3388 (1992).
18. J. D. E. Grant, Phys. Rev. D 47, 2388 (1993).
19. S. W. Hawking, in Proceedings of the 6-th Marcel Grossmann Meeting, edited by H. Sato (World Scientific, Singapore, 1992), p. 3.
20. S. W. Hawking, Phys. Rev. D 46, 603 (1992).
21. D. G. Boulware, Phys. Rev. D 46, 4421 (1992).
22. L.-X. Li, J.-M. Xu, and L. Liu, Phys. Rev. D 48, 4735 (1993).
23. L.-X. Li, Phys. Rev. D 50, R6037 (1994).
24. R. J. Low, Class. Quantum Grav. 12, L37 (1995).
25. T. Tanaka and W. A. Hiscock, Phys. Rev. D 52, 4503 (1995).
26. L.-X. Li, Class. Quantum Grav. 13, 2563 (1996).
27. S. V. Krasnikov, Phys. Rev. D 54, 7322 (1996).
28. S. V. Sushkov, Class. Quantum Grav. 14, 523 (1997).
29. M. Visser, Phys. Rev. D 55, 5212 (1997).
30. L.-X. Li and J. R. Gott, Phys. Rev. Lett. 80, 2980 (1998).
31. M. J. Cassidy, Class. Quantum Grav. 14, 3031 (1997).
32. E. Farhi, A. H. Guth, and J. Guven, Nucl. Phys. B339, 417 (1990).
33. E. R. Harrison, Q. J. R. Astron. Soc. 36, 193 (1995).
34. L. Smolin, Class. Quantum Grav. 9, 173 (1992).
35. L. Smolin, The Life of the Cosmos (Oxford University Press, Oxford, 1997).
36. J. Garriga and A. Vilenkin, Phys. Rev. D 57, 2230 (1998).
37. A. Friedmann, Z. Phys. 10, 377 (1922).
38. E. Hubble, Proc. Natl. Acad. Sci. USA 15, 168 (1929).
39. S. W. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972).
40. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-time (Cambridge University Press, Cambridge, England, 1973).
41. G. Gamow, Phys. Rev. 74, 505 (1948).
42. G. Gamow, Nature (London) 162, 680 (1948).
43. R. A. Alpher and R. Herman, Nature (London) 162, 774 (1948).
44. A. A. Penzias and R. W. Wilson, Astrophys. J. 142, 419 (1965).
45. J. C. Mather et al., Astrophys. J. Lett. 354, L37 (1990).
46. J. C. Mather et al., Astrophys. J. 420, 439 (1994).
47. G. F. Smoot et al., Astrophys. J. Lett. 396, L1 (1992).
48. S. W. Hawking, Proc. R. Soc. London A300, 187 (1967).
49. S. W. Hawking and R. Penrose, Proc. R. Soc. London A314, 529 (1970).
50. G. Lemaitre, Ann. Soc. Sci. Bruxelles A. 53, 51 (1933).
51. J. D. Bekenstein, Phys. Rev. D 11, 2072 (1975).
52. R. Durrer and J. Laukenmann, Class. Quantum Grav. 13, 1069 (1996).
53. R. C. Tolman, Relativity, Thermodynamics, and Cosmology (Clarendon, Oxford, 1934).
54. A. H. Guth, Phys. Rev. D 23, 347 (1981).
55. V. P. Frolov, M. A. Markov, and V. F. Mukhanov, Phys. Rev. D 41, 383 (1990).
56. C. Barrabès and V. P. Frolov, Helv. Phys. Acta 69, 253 (1996).
57. C. Barrabès and V. P. Frolov, Phys. Rev. D 53, 3215 (1996).
58. R. Penrose, in General Relativity, an Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979), p. 581.
59. R. Penrose, in Fourteenth Texas Symposium on Relativistic Astrophysics, Annals of the New York Academy of Sciences Vol. 571, edited by E. J. Fenyves (The New York Academy of Sciences, New York, 1989), p. 249.
60. J. A. Wheeler and R. P. Feynman, Rev. Mod. Phys. 17, 157 (1945).
61. J. R. Gott, Astrophys. J. 187, 1 (1974).
62. B. Carter, in Confrontation of Cosmological Theories with Observations, edited by M. Longair (Dordrecht, Reidel, 1974), p. 291.
63. J. R. Gott, Nature (London) 363, 315 (1993).
64. A. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic Publishers, Chur, Switzerland, 1990).
65. E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley Publishing Company, Redwood City, CA, 1990).
66. Ya. B. Zeldovich, Mon. Not. R. Astron. Soc. 160, 1P (1972).
67. P. J. E. Peebles and J. T. Yu, Astrophys. J. 162, 815 (1970).
68. E. R. Harrison, Phys. Rev. D 1, 2726 (1970).
69. J. Bardeen, P. J. Steinhardt, and M. S. Turner, Phys. Rev. D 28, 679 (1983).
70. A. Guth and S. Y. Pi, Phys. Rev. Lett. 49, 1110 (1982).
71. S. W. Hawking, Phys. Lett. 115B, 295 (1982).
72. A. A. Starobinsky, Phys. Lett. 117B, 175 (1982).
73. N. Bahcall and R. M. Soneira, Astrophys. J. 270, 20 (1983).
74. V. de Lapparent, M. Geller, and J. Huchra, Astrophys. J. Lett. Ed. 302, L1 (1986).
75. J. R. Gott, A. Melott, and M. Dickinson, Astrophys. J. 306, 341 (1986).
76. J. R. Gott, D. N. Weinberg, and A. Melott, Astrophys. J. 321, 2 (1987).
77. M. Geller and J. Huchra, Science 246, 897 (1989).
78. C. Park, Mon. Not. R. Astron. Soc. 242, 59P (1990).
79. C. Park, Ph.D. thesis, Princeton University, 1990.
80. C. Park and J. R. Gott, Mon. Not. R. Astron. Soc. 249, 288 (1991).
81. J. R. Gott, B. Gao, and C. Park, Astrophys. J. 383, 90 (1991).
82. C. Park, J. R. Gott, A. Melott, and I. D. Karachentsev, Astrophys. J. 387, 1 (1992).
83. S. J. Maddox, G. Efstathiou, W. J. Sutherland, and J. Loveday, Mon. Not. R. Astron. Soc. 242, 43P (1990).
84. W. Saunders et al., Nature (London) 349, 32 (1991).
85. C. Park, J. R. Gott, and L. N. da Costa, Astrophys. J. Lett. 392, L51 (1992).
86. S. A. Shectman et al., in Wide Field Spectroscopy and the Distant Universe, the 35th Herstmonceux Conference, edited by S. J. Maddox and A. Aragon-Salamanca (World Scientific, Singapore, 1995), p. 98.
87. M. S. Vogeley, C. Park, M. J. Geller, J. P. Huchra, and J. R. Gott, Astrophys. J. 420, 525 (1994).
88. J. R. Gott, in Critical Dialogues in Cosmology, edited by N. Turok (World Scientific, Singapore, 1997), p. 519.
89. J. R. Gott, Nature (London) 295, 304 (1982).
90. E. Schrödinger, Expanding Universes (Cambridge University Press, London, 1956).
91. E. A. Milne, Nature (London) 130, 9 (1932).
92. S. Coleman, Phys. Rev. D 15, 2929 (1977).
93. S. Coleman and F. de Luccia, Phys. Rev. D 21, 3305 (1980).
94. S. W. Hawking, I. G. Moss, and J. M. Steward, Phys. Rev. D 26, 2681 (1982).
95. A. H. Guth and E. J. Weinberg, Nucl. Phys. B212, 321 (1983).
96. A. D. Linde, Phys. Lett. 108B, 389 (1982).
97. A. Albrecht and P. J. Steinhardt, Phys. Rev. Lett. 48, 1220 (1982).
98. J. R. Gott, in Inner Space/Outer Space, edited by E. W. Kolb et al. (The University of Chicago Press, Chicago, 1986), p. 362.
99. J. R. Gott and T. S. Statler, Phys. Lett. 136B, 157 (1984).
100. G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15, 2738 (1977).
101. D. N. Page, Phys. Rev. D 25, 1499 (1982).
102. B. Ratra and P. J. E. Peebles, Astrophys. J. Lett. 432, L5 (1994).
103. B. Ratra and P. J. E. Peebles, Phys. Rev. D 52, 1837 (1995).
104. M. Bucher, A. S. Goldhaber, and N. Turok, Phys. Rev. D 52, 3314 (1995).
105. M. Bucher, A. S. Goldhaber, and N. Turok, Phys. Rev. D 52, 5538 (1995).
106. K. Yamamoto, M. Sasaki, and T. Tanaka, Astrophys. J. 455, 412 (1995).
107. A. D. Linde, Phys. Lett. B 351, 99 (1995).
108. A. D. Linde and A. Mezhlumian, Phys. Rev. D 52, 6789 (1995).
109. A. D. Linde, Phys. Lett. 129B, 177 (1983).
110. J. R. Gott and M. J. Rees, Astron. Astrophys. 45, 365 (1975).
111. A. G. Riess, W. H. Press, and R. P. Kirshner, Astrophys. J. Lett. 438, L17 (1995).
112. J. Mould and W. Freedman, Nature (London) 381, 555 (1996).
113. A. Sandage et al., Nature (London) 381, 555 (1996).
114. T. Kundic et al., Astrophys. J. 482, 75 (1997).
115. M. Bolte and C. J. Hogan, Nature (London) 376, 399 (1995).
116. J. R. Gott and E. L. Turner, Astrophys. J. 213, 309 (1977).
117. R. Cen, J. R. Gott, J. P. Ostriker, and E. L. Turner, Astrophys. J. 423, 1 (1994).
118. J. P. Ostriker and P. J. Steinhardt, Nature (London) 377, 600 (1995).
119. E. L. Turner, Astrophys. J. Lett. 365, L43 (1990).
120. M. Fukugita, T. Futamase, and M. Kasai, Mon. Not. R. Astron. Soc. 246, 24P (1990).
121. C. S. Kochanek, CfA Report No. 4258 (1996).
122. B. Ratra, A. J. Banday, K. M. Gorski, and N. Sugiyama, astro-ph/9512148 (1995).
123. B. Ratra and N. Sugiyama, astro-ph/9512157 (1995).
124. C. Park, W. N. Colley, J. R. Gott, B. Ratra, D. N. Spergel, and N. Sugiyama, astro-ph/9711057 (1997).
125. S. Hawking and R. Penrose, The Nature of Space and Time (Princeton University Press, Princeton, NJ, 1996).
126. A. Borde and A. Vilenkin, in Relativistic Astrophysics: The Proceedings of the Eighth Yukawa Symposium, edited by M. Sasaki (University of Academic Press, Japan, 1995); gr-qc/9403004 (1994).
127. A. Borde and A. Vilenkin, Int. J. Mod. Phys. D 5, 813 (1996).
128. A. Vilenkin, Phys. Rev. D 27, 2848 (1983).
129. A. A. Starobinsky, in Field Theory, Quantum Gravity, and Strings, Lectures in Physics, edited M. J. de Vega and N. Sánchez (Springer-Verlag, Berlin, 1986).
130. A. D. Linde, Phys. Lett. B 175, 395 (1986).
131. A. S. Gonchanov, A. D. Linde, and V. F. Mukhanov, Int. J. Mod. Phys. A 2, 561 (1987).
132. G. Gamow, Z. Phys. 51, 204 (1928).
133. G. Gamow, Z. Phys. 52, 510 (1928).
134. R. W. Gurney and E. U. Condon, Phys. Rev. 33, 127 (1929).
135. A. Vilenkin, Phys. Rev. D 30, 509 (1984).
136. A. Vilenkin, Phys. Rev. D 37, 888 (1988).
137. J. J. Halliwell, in Quantum Cosmology and Baby Universes, edited by S. Coleman, J. B. Hartle, T. Piran, and S. Weinberg (World Scientific, Singapore, 1991), p. 159.
138. S. W. Hawking, Nucl. Phys. B239, 257 (1984).
139. E. P. Tryon, Nature (London) 246, 396 (1973).
140. R. P. Geroch, J. Math. Phys. 8, 782 (1967).
141. J. J. Halliwell and J. B. Hartle, Phys. Rev. D 41, 1815 (1990).
142. M. P. Headrick and J. R. Gott, Phys. Rev. D 50, 7244 (1994).
143. M. J. Cassidy and S. W. Hawking, Phys. Rev. D 57, 2372 (1998).
144. B. S. Kay, M. J. Radzikowski, and R. M. Wald, Commun. Math. Phys. 183, 533 (1997).
145. S. W. Hawking, in Recent Developments in Gravitation, Cargese Lectures, edited by M. Levey and S. Deser (Plenum Press, New York, 1978), p. 145.
146. S. W. Hawking, in General Relativity: An Einstein Centenary Survey, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1979), p. 746.
147. S. W. Hawking, Phys. Rev. D 52, 5681 (1995).
148. M. Visser, Phys. Lett. B 415, 8 (1997).
149. M. Visser, gr-qc/9710020 (1997).
150. C. R. Cramer and B. S. Kay, Class. Quantum Grav. 13, L143 (1996).
151. C. R. Cramer and B. S. Kay, Phys. Rev. D 57, 1052 (1998).
152. R. M. Wald, Phys. Rev. D 17, 1477 (1978).
153. N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, England, 1982).
154. W. G. Unruh, Phys. Rev. D 14, 870 (1976).
155. J. S. Dowker, Phys. Rev. D 18, 1856 (1978).
156. S. A. Hayward, Class. Quantum Grav. 9, 1851 (1992); 9, 2453(E) (1992).
157. S. A. Hayward, Class. Quantum Grav. 9, 1851 (1992); 9, 2453(E) (1992).
158. S. A. Hayward, "Junction Conditions for Signature Change," gr-qc/9303034 (1993).
159. T. S. Bunch and P. C. W. Davies, Proc. R. Soc. London A360, 117 (1978).
160. D. Bernard and A. Folacci, Phys. Rev. D 34, 2286 (1986).
161. B. S. DeWitt, Dynamical Theory of Groups and Fields (Gordon and Breach, Science Publishers, New York, 1965).
162. E. Calabi and L. Marcus, Ann. Math. 75, 63 (1962).
163. J. L. Friedman and A. Higuchi, Phys. Rev. D 52, 5687 (1995).
164. J. L. Friedman, in The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics, edited by S. P. Braham, J. D. Gegenberg, and R. J. Mc Keller (American Mathematical Society, Providence, RI, 1997), p. 43.
165. R. Kantowski and R. K. Sachs, J. Math. Phys. 7, 443 (1966).
166. P. Candelas and J. S. Dowker, Phys. Rev. D 19, 2902 (1979).
167. R. M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (The University of Chicago Press, Chicago, 1994).
168. C. Panagiotakopoulos and N. Tetradis, hep-th/9710526 (1997).
169. D. G. Boulware, Phys. Rev. D 11, 1404 (1975).
170. J. B. Hartle and S. W. Hawking, Phys. Rev. D 13, 2188 (1976).
171. D. W. Sciama, P. Candelas, and D. Deutsch, Adv. Phys. 30, 327 (1981).
172. P. Candelas, Phys. Rev. D 21, 2185 (1980).
173. J. W. York, Phys. Rev. D 31, 775 (1985).
174. T. Gold, Am. J. Phys. 30, 403 (1962).
175. J. E. Hogarth, Proc. R. Soc. London A267, 365 (1962).
176. F. Hoyle and J. V. Narlikar, Proc. R. Soc. London A227, 1 (1964).
177. H. D. Zeh, The Physical Basis of the Direction of Time (Springer-Verlag, Berlin, 1992).
178. L. S. Schulman, Time's Arrows and Quantum Measurement (Cambridge University Press, Cambridge, England, 1997).
179. I. D. Novikov, Evolution of the Universe (Cambridge University Press, Cambridge, England, 1983).
180. J. Friedman, M. S. Morris, I. D. Novikov, F. Echeverria, G. Klinkhammer, K. S. Thorne, and U. Yurtsever, Phys. Rev. D 42, 1915 (1990).
181. R. M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984).
182. C. W. Misner and A. H. Taub, Sov. Phys. JETP 28, 122 (1969) [Zh. Éksp. Teor. Fiz 55, 233 (1968)].
183. C. W. Misner and A. H. Taub, Sov. Phys. JETP 28, 122 (1969) [Zh. Éksp. Teor. Fiz 55, 233 (1968)].
184. R. K. Sachs and H. Wu, General Relativity for Mathematicians (Springer-Verlag, Berlin, 1977).
185. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Company, San Francisco, 1973).
186. A. Einstein and N. Rosen, Phys. Rev. 48, 73 (1935).
187. S. W. Hawking, Commun. Math. Phys. 43, 199 (1975).
188. T. Rothman and G. F. R. Ellis, Q. J. R. Astron. Soc. 34, 201 (1993).
189. D. Laurence, Phys. Rev. D 50, 4957 (1994).