Selection rules in minisuper space quantum cosmology

General Relativity and Gravitation

Volumn 32, Issue 4, 2000, Pages 673-696

  Capozziello, S ^a,b   Lambiase, G ^a  

^a UNIVERSITY OF SALERNO   (Italy)

^b INFN SEZIONE DI NAPOLI   (Italy)

Author keywords

Wheeler Dewitt equation

Indexed keywords

EID: 0034349235     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1001967102409     Document Type: Article

References (39)

1. 1. Hartle, J. B. (1995). Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime in Gravitation and Quantization (Proc. 1992 Les Hauches Summer School), B. Julia and J. Zinn-Justin, eds. (Les Mouches Summer School Proceedings, vol. LVII, North-Holland, Amsterdam).
2. 2. Wheeler, J. A. (1968). In Battelle Rencontres, C. DeWitt, J. A. Wheeler, eds. (Benjamin, New York); Misner, C. W. (1969). Phys. Rev. 186, 1319; Misner, C. W. (1969). Phys. Rev. Lett. 22, 1071; Misner, C. W. (1973). Phys. Rev. D8, 3271; Misner, C. W. (1970). In Relativity, M. Carmeli, L. Fickler, L. Witten, eds. (Plenum, New York); Misner, C. W. (1972). In Magic Without Magic, J. Klauder, ed. (W. H. Freeman, San Francisco).
3. 2. Wheeler, J. A. (1968). In Battelle Rencontres, C. DeWitt, J. A. Wheeler, eds. (Benjamin, New York); Misner, C. W. (1969). Phys. Rev. 186, 1319; Misner, C. W. (1969). Phys. Rev. Lett. 22, 1071; Misner, C. W. (1973). Phys. Rev. D8, 3271; Misner, C. W. (1970). In Relativity, M. Carmeli, L. Fickler, L. Witten, eds. (Plenum, New York); Misner, C. W. (1972). In Magic Without Magic, J. Klauder, ed. (W. H. Freeman, San Francisco).
4. 2. Wheeler, J. A. (1968). In Battelle Rencontres, C. DeWitt, J. A. Wheeler, eds. (Benjamin, New York); Misner, C. W. (1969). Phys. Rev. 186, 1319; Misner, C. W. (1969). Phys. Rev. Lett. 22, 1071; Misner, C. W. (1973). Phys. Rev. D8, 3271; Misner, C. W. (1970). In Relativity, M. Carmeli, L. Fickler, L. Witten, eds. (Plenum, New York); Misner, C. W. (1972). In Magic Without Magic, J. Klauder, ed. (W. H. Freeman, San Francisco).
5. 2. Wheeler, J. A. (1968). In Battelle Rencontres, C. DeWitt, J. A. Wheeler, eds. (Benjamin, New York); Misner, C. W. (1969). Phys. Rev. 186, 1319; Misner, C. W. (1969). Phys. Rev. Lett. 22, 1071; Misner, C. W. (1973). Phys. Rev. D8, 3271; Misner, C. W. (1970). In Relativity, M. Carmeli, L. Fickler, L. Witten, eds. (Plenum, New York); Misner, C. W. (1972). In Magic Without Magic, J. Klauder, ed. (W. H. Freeman, San Francisco).
6. 2. Wheeler, J. A. (1968). In Battelle Rencontres, C. DeWitt, J. A. Wheeler, eds. (Benjamin, New York); Misner, C. W. (1969). Phys. Rev. 186, 1319; Misner, C. W. (1969). Phys. Rev. Lett. 22, 1071; Misner, C. W. (1973). Phys. Rev. D8, 3271; Misner, C. W. (1970). In Relativity, M. Carmeli, L. Fickler, L. Witten, eds. (Plenum, New York); Misner, C. W. (1972). In Magic Without Magic, J. Klauder, ed. (W. H. Freeman, San Francisco).
7. 2. Wheeler, J. A. (1968). In Battelle Rencontres, C. DeWitt, J. A. Wheeler, eds. (Benjamin, New York); Misner, C. W. (1969). Phys. Rev. 186, 1319; Misner, C. W. (1969). Phys. Rev. Lett. 22, 1071; Misner, C. W. (1973). Phys. Rev. D8, 3271; Misner, C. W. (1970). In Relativity, M. Carmeli, L. Fickler, L. Witten, eds. (Plenum, New York); Misner, C. W. (1972). In Magic Without Magic, J. Klauder, ed. (W. H. Freeman, San Francisco).
8. 3. DeWitt, B. S. (1967). Phys. Rev. 160, 1113.
9. 4. Vilenkin, A. (1982). Phys. Lett. B117, 25; (1984). Phys. Rev. D30, 509; (1986). Phys. Rev. D33, 3560; (1989). Phys. Rev. D39, 1116.
10. 4. Vilenkin, A. (1982). Phys. Lett. B117, 25; (1984). Phys. Rev. D30, 509; (1986). Phys. Rev. D33, 3560; (1989). Phys. Rev. D39, 1116.
11. 4. Vilenkin, A. (1982). Phys. Lett. B117, 25; (1984). Phys. Rev. D30, 509; (1986). Phys. Rev. D33, 3560; (1989). Phys. Rev. D39, 1116.
12. 4. Vilenkin, A. (1982). Phys. Lett. B117, 25; (1984). Phys. Rev. D30, 509; (1986). Phys. Rev. D33, 3560; (1989). Phys. Rev. D39, 1116.
13. 5. Hartle, J. B., and Hawking, S. W. (1983). Phys. Rev. D28, 2960; Hawking, S. W. (1984). In Relativity, Group and Topology II (Les Hauches Session XL), B. DeWitt and R. Stora, eds. (North Holland, Amsterdam).
14. 5. Hartle, J. B., and Hawking, S. W. (1983). Phys. Rev. D28, 2960; Hawking, S. W. (1984). In Relativity, Group and Topology II (Les Hauches Session XL), B. DeWitt and R. Stora, eds. (North Holland, Amsterdam).
15. 6. Hartle, J. B. (1986). In Gravitation in Astrophysics (Cargese 1986), S. Carter, J. B. Hartle, eds. (Plenum, New York).
16. 7. Lifschitz, G., Mathur, S. D., Ortiz, M. (1996). Phys. Rev. D53, 766.
17. 8. Massar, S., and Parentani, R. (1998). Nucl. Phys. B513, 375.
18. 9. Halliwell, J. J. (1986). Nucl. Phys. B266, 228; (1987). Phys. Rev. D36, 3626; (1991). In Quantum Cosmology and Baby Universes, S. Coleman, J. B. Hartle, T. Piran, S. Weinberg, eds. (World Scientific, Singapore).
19. 9. Halliwell, J. J. (1986). Nucl. Phys. B266, 228; (1987). Phys. Rev. D36, 3626; (1991). In Quantum Cosmology and Baby Universes, S. Coleman, J. B. Hartle, T. Piran, S. Weinberg, eds. (World Scientific, Singapore).
20. 9. Halliwell, J. J. (1986). Nucl. Phys. B266, 228; (1987). Phys. Rev. D36, 3626; (1991). In Quantum Cosmology and Baby Universes, S. Coleman, J. B. Hartle, T. Piran, S. Weinberg, eds. (World Scientific, Singapore).
21. 10. Arnold, V. I. (1978). Mathematical Methods of Classical Mechanics (Springer-Verlag, Berlin).
22. 11. Marmo, G., Saletan, E. J., Simoni, A., Vitale, B. (1985). A Differential Geometric Approach to Symmetry and Reduction (Wiley, New York).
23. 12. Capozziello, S., Marmo, G., Rubano, C., and Scudellaro, P. (1997). Int. J. Mod. Phys. D4, 491.
24. 13. Capozziello, S., and de Ritis, R. (1993). Phys. Lett. A177, 1.
25. 14. Capozziello, S., and de Ritis, R. (1994). Class. Quantum Grav. 11, 107.
26. 15. Capozziello, S., Demianski, M., de Ritis, R., and Rubano, C. (1995). Phys. Rev. D52, 3288.
27. 16. Vilenkin, A. (1985). Phys. Rev. D32, 2511.
28. 17. Schmidt, H.-J. (1996). Class. Quantum Grav. 7, 1023; (1996). Phys. Rev. D53, 7906.
29. 17. Schmidt, H.-J. (1996). Class. Quantum Grav. 7, 1023; (1996). Phys. Rev. D53, 7906.
30. 18. Capozziello, S., de Ritis, R., and Marino, A. A. (1998). Gen. Rel. Grav. 30, 1247.
31. 19. Magnano, G., and Sokolowski, L. M. (1994). Phys. Rev. D50, 5039.
32. 20. Abramowitz, M., Stegun, I. A. (1972). Handbook of Mathematical Functions (Dover Publication, Inc., New York).
33. 21. Gottlöber, S., Schmidt, H.-J., Starobinsky, A. A. (1990). Class. Quantum Grav. 7, 893; Berkin, A. L., Maeda, K. (1990). Phys. Lett. B245, 348.
34. 21. Gottlöber, S., Schmidt, H.-J., Starobinsky, A. A. (1990). Class. Quantum Grav. 7, 893; Berkin, A. L., Maeda, K. (1990). Phys. Lett. B245, 348.
35. 22. Capozziello, S., and Lambiase, G. (1999). Gen. Rel. Grav. 32, 295.
36. 23. Everett, H. (1957). Rev. Mod. Phys. 29, 454.
37. 24. Finkelstein, D. (1963). Trans. N.Y. Acad. Sci. 25, 621; Hartle, J. B. (1968). Amer. J. Phys. 36, 704.
38. 24. Finkelstein, D. (1963). Trans. N.Y. Acad. Sci. 25, 621; Hartle, J. B. (1968). Amer. J. Phys. 36, 704.
39. 25. Kuchař, K. V., and Ryan, M. P. (1986). In Gravitational Collapse and Relativity, H. Sato and T. Nakamura, eds. (World Scientific, Singapore).