Complex actions in two-dimensional topology change

Classical and Quantum Gravity

Volumn 14, Issue 1, 1997, Pages 179-204

  Louko, Jorma ^a,b   Sorkin, Rafael D ^c,d  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

^c SYRACUSE UNIVERSITY   (United States)

^d INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031540741     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/14/1/018     Document Type: Article

References (73)

1. Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (San Francisco, CA: Freeman)
2. Hawking S W and Ellis G F R 1973 The Large Scale Structure of Spacetime (Cambridge: Cambridge University Press)
3. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
4. Geroch R and Traschen J 1987 Phys. Rev. D 36 1017
5. Israel W 1966 Nuovo Cimento B 44 1
6. Hayward G and Louko J 1990 Phys. Rev. D 42 4032
7. Sakharov A D 1984 JETP 60 214
8. Dray T, Manogue C A and Tucker R W 1991 Gen. Rel. Grav. 23 967
9. Ellis G, Sumeruk A, Coule D and Hellaby C 1992 Class. Quantum Grav. 9 1535
10. Ellis G F R 1992 Gen. Rel. Grav. 24 1047
11. Hayward S A 1992 Class. Quantum Grav. 9 1851 Hayward S A 1992 Class. Quantum Grav. 9 2453 (erratum)
12. Kossowski M and Kriele M 1993 Class. Quantum Grav. 10 2363
13. Dray T, Manogue C A and Tucker R W 1993 Phys. Rev. D 48 2587
14. Hellaby C and Dray T 1994 Phys. Rev. D 49 5096
15. Embacher F 1995 Phys. Rev. D 51 6764
16. Sorkin R D 1990 Proc. 3rd Canadian Conference on General Relativity and Relativistic Astrophysics ed A Coley, F Cooperstock and B Tupper (Singapore: World Scientific)
17. Borde A and Sorkin R D Causal cobordism: topology change without causal anomalies (in preparation) Isham C J (unpublished)
18. Sorkin RD 1986 Phys. Rev. D 33 978
19. Sorkin R D 1986 Int. J. Theor. Phys. 25 877
20. Sorkin R D 1974 Phys. Rev. D 12 385 Sorkin RD 1981 Phys. Rev. D 23 565
21. Sorkin R D 1974 Phys. Rev. D 12 385 Sorkin RD 1981 Phys. Rev. D 23 565
22. Linet B 1985 Gen. Rel. Grav. 17 1109
23. Vickers J A G 1987 Class. Quantum Grav. 4 1
24. Vickers J A G 1992 Rend. Sem. Mat. Univ. Pol. Torino 50 1
25. Tod K P 1994 Class. Quantum Grav. 11 1331
26. Fursaev D V and Solodukhin S N 1995 Phys. Rev. D 52 2133
27. Clarke C J S, Vickers J A and Wilson J P 1996 Generalised functions and distributional curvature of cosmic strings Preprint gr-qc/9605060
28. Vilenkin A 1981 Phys. Rev. D 23 852
29. Gott R 1985 Astrophys. J. 282 4221
30. Hiscock W 1985 Phys. Rev. D 31 3288
31. Deser S, Jackiw R and 't Hooft G 1984 Ann. Phys., NY 152 220
32. Deser S and Jackiw R 1984 Ann. Phys., NY 153 405
33. Louko J and Whiting B F 1992 Class. Quantum Grav 9 457
34. Carlip S and Teitelboim C 1995 Class. Quantum Grav. 12 1699
35. Carlip S and Teitelboim C 1995 Phys. Rev. D 51 622
36. Teitelboim C 1995 Phys. Rev. D 51 4315
37. Futamase T and Garfinkle D 1988 Phys. Rev. D 37 2086
38. Anderson A and DeWitt B 1986 Found. Phys. 16 91
39. Harris S G and Dray T 1990 Class. Quantum Grav. 7 149
40. Manogue C A, Copeland E and Dray T 1988 Pramana 30 279
41. Daughton A, Gu Zh-Ch, O'Connor D J and Sorkin R D Topology change and field fluctuations in two dimensions (in preparation)
42. Horowitz G T 1991 Class. Quantum Grav. 8 587
43. Horowitz GT 1991 Phys. Lett. 258B 91
44. Horowitz G T 1992 Proc. 6th Marcel Grassmann Meeting on General Relativity ed H Sato and T Takamura (Singapore: World Scientific)
45. Gibbons G W and Hawking S W 1992 Commun. Math. Phys. 148 345
46. Bott R 1982 Bull Am. Math. Soc. 7 331
47. Bombelli L (unpublished)
48. Reed M and Simon B 1972 Methods of Modern Mathematical Physics (New York: Academic)
49. Schwartz L 1957 Théorie des Distributions vol I (Paris: Hermann)
50. Spivak M 1975 A Comprehensive Introduction to Differential Geometry vol III (Boston, MA: Publish or Perish)
51. Allendoerfer C A and Weil A 1943 Trans. Am. Math. Soc. 53 101
52. Reinhart B L 1963 Topology 2 173
53. Jee D J 1984 Geometriae Dedicata 15 215
54. Birman G and Nomizu K 1984 Mich. Math. J. 31 77
55. Law P 1992 Rocky Mountain J. Math. 22 1365
56. Chern S S 1945 Ann. Math. 46 674
57. Halliwell J J and Hartle J B 1990 Phys. Rev. D 41 1815
58. Balasin H and Nachbagauer H 1993 Class. Quantum Grav. 10 2271
59. Mazur P O and Mottola E 1990 Nucl. Phys. B 341 187
60. Ashtekar A and Varadarajan M 1994 Phys. Rev. D 50 4944
61. Louko J and Whiting B F 1995 Phys. Rev. D 51 5583
62. Hawking S W 1982 Astrophysical Cosmology: Proc. Study Week on Cosmology and Fundamental Physics ed H A Brück, G V Coyne and M S Longair (Vatican City: Pontificiae Academiae Scientiarum Scripta Varia)
63. Hartle J B and Hawking S W 1983 Phys. Rev. D 28 2960
64. Halliwell J J and Louko J 1989 Phys. Rev. D 39 2206
65. Salgado R, Sorkin R D and Surya S (in preparation)
66. Bombelli L and Sorkin R D, When are two Lorentzian metrics close? (in preparation)
67. Lovelock D 1971 J. Math. Phys. 12 498
68. Lovelock D 1972 J. Math. Phys. 13 874
69. Witten E 1988 Nucl. Phys. B 311 46
70. Ashtekar A 1991 Lectures on Non-Perturbative Canonical Gravity (Singapore: World Scientific) ch 17
71. Romano J D 1993 Gen. Rel. Grav. 25 759
72. Amano K and Higuchi S 1992 Nucl. Phys. B 377 218
73. Horowitz G T 1993 private communication