Topology change in canonical quantum cosmology

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 56, Issue 6, 1997, Pages 3329-3340

  De Lorenci, Vitorio A ^a   Martin, Jéro⁁me ^a,b   Pinto Neto, Nelson ^a   Soares, Ivano Damião ^a  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000488963     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.56.3329     Document Type: Article

References (38)

1. J. A. Wheeler, Ann. Phys. (N.Y.) 2, 604 (1957); APNYA6
2. in Relativity, Groups and Topology, edited by B. DeWitt and C. DeWitt (Gordon and Breach, New York, 1964).
3. R. Geroch, J. Math. Phys. (N.Y.) 8, 782 (1967).
4. F. Tipler, Ann. Phys. (N.Y.) 108, 1 (1977).APNYA6
5. G. T. Horowitz, Class. Quantum Grav. 8, 587 (1991).
6. S. Coleman, Nucl. Phys. B307, 864 (1988).
7. S. Giddings and A. Strominger, Nucl. Phys. B306, 890 (1988);
8. B307, 854 (1988).
9. F. Dowker, J. P. Gauntlett, S. B. Giddings, and G. T. Horowitz, Phys. Rev. D 50, 2662 (1994).
10. B. S. DeWitt, Phys. Rev. 160, 1113 (1967).
11. H. S. M. Coxeter, Twelve Geometric Essays (Southern Illinois University Press, Carbondale and Edwardsville, 1968).
12. M. Lachièze-Rey and J. P. Luminet, Phys. Rep. 254, 135 (1995).
13. H. Seifert and W. Threlfall, Math. Ann. 104, 1 (1930);
14. A Textbook of Topology, edited by J. S. Birman and J. Eisner (Academic, New York, 1980).
15. H. Poincaré, Oeuvres de Henri Poincaré, Vol. VI (Gauthier-Villars, Paris, 1953);
16. I. N. Bernshtein and F. V. Shvartsman, Sov. Phys. JETP 52, 814 (1980).
17. L. A. Best, Can. J. Math. 23, 451 (1971);
18. H. Fagundes, Astrophys. J. 338, 618 (1989).
19. W. Fischler, D. Morgan, and J. Polchinski, Phys. Rev. D 42, 4042 (1990).
20. T. Brotz and C. Kiefer, Phys. Rev. D 55, 2186 (1997).
21. K. V. Kuchař and C. G. Torre, Phys. Rev. D 43, 419 (1991).
22. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation: An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962).
23. D. S. Salopek, Phys. Rev. D 46, 4373 (1992).
24. P. A. M. Dirac, Lectures on Quantum Mechanics (Yeshiva University, New York, 1964);
25. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, NJ, 1992);
26. K. Sundermeyer, Constrained Dynamics (Springer-Verlag, Berlin, 1982).
27. W. G. Unhru and R. M. Wald, Phys. Rev. D 40, 2598 (1984).
28. C. Teitelboim, Phys. Lett. 56B, 376 (1975).
29. K. Kuchař, in Quantum Gravity II, edited by C. J. Isham, R. Penrose, and D. W. Sciama (Clarendon, Oxford, 1982).
30. J. H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928).PNASA6
31. M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics (Springer-Verlag, Berlin, 1990).
32. B. Hatfield, Quantum Field Theory of Point Particles and Strings (Addison-Wesley, Redwood City, CA, 1992).
33. 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).
34. J. B. Hartle and S. W. Hawking, Phys. Rev. D 28, 2960 (1983).
35. A. Vilenkin, Phys. Rev. D 37, 888 (1988).
36. D. Louis-Martinez et al., Phys. Lett. B 321, 193 (1994);
37. J. G. Demers and C. Kiefer, Phys. Rev. D 53, 7050 (1996).
38. K. V. Kuchar and M. P. Ryan, Phys. Rev. D 40, 3982 (1989).