Physical states of Bianchi type IX quantum cosmologies described by the Chern-Simons functional

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 54, Issue 4, 1996, Pages 2589-2604

  Graham, Robert ^a   Paternoga, Robert ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037630834     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.54.2589     Document Type: Article

References (32)

1. R. Arnowitt, S. Deser, and C. W. Misner, in Gravitation, An Introduction to Current Research, edited by L. Witten (Wiley, New York, 1962), Chap. 7
2. J. A. Wheeler, in Relativity and Topology, edited by C. DeWitt and B. S. DeWitt (Gordon and Breach, New York, 1964)
3. B.S. DeWitt, Phys. Rev. D 16, 1113 (1977)
4. A. Ashtekar, Phys. Rev. Lett. 57, 2244 (1986)
5. A. AshtekarPhys. Rev. D 36, 295 (1987)
6. A. Ashtekar, Lectures on Nonperturbative Canonical Gravity (World Scientific, Singapore, 1991)
7. A. Ashtekar, "Polymer Geometry at the Planck Scale and the Quantum Einstein Equations," electronic archive hep-th/9601054 (unpublished)
8. C. J. Isham, "Structural Issues in Quantum Gravity," electronic archive gr-qc/9510063 (unpublished)
9. K. Ezawa, "Nonperturbative solutions for canonical quantum gravity: an overview," electronic archive gr-qc/9601050 (unpublished)
10. H. Kodama, Phys. Rev. D 42, 2548 (1990)
11. M.P. Blencowe, Nucl. Phys. B341, 213 (1990)
12. R. Graham, Phys. Rev. Lett. 67, 1381 (1991)
13. J. Bene and R. Graham, Phys. Rev. D 49, 799 (1994)
14. R. Graham and H. Luckock, Phys. Rev. D 49, R4981 (1994)
15. A. Csordás and R. Graham, Phys. Rev. Lett. 74, 4129 (1995)
16. R. Paternoga and R. Graham, "Exact quantum states for the diagonal Bianchi type IX model with negative cosmological constant," electronic archive gr-qc/9605035 (unpublished)
17. A. Vilenkin, Phys. Rev. D 33, 3560 (1986)
18. J.B. Hartle and S.W. Hawking, Phys. Rev. D 28, 2960 (1983)
19. S.W. Hawking, Nucl. Phys. B239, 257 (1984)
20. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (W. H. Freeman and Company, San Francisco, 1973)
21. M. P. Ryan, Jr. and L. C. Shepley, Homogeneous Relativistic Cosmologies (Princeton University Press, Princeton, NJ, 1975)
22. S.W. Hawking and J.C. Luttrell, Phys. Lett. 143B, 83 (1984)
23. W.A. Wright and I.G. Moss, Phys. Lett. 154B, 115 (1985)
24. S. Del Campo and A. Vilenkin, Phys. Lett. B 224, 45 (1989)
25. R. Graham and P. Szépfalusy, Phys. Rev. D 42, 2483 (1990)
26. V. Moncrief and M.P. Ryan, Jr., Phys. Rev. D 44, 2375 (1991)
27. A. Ashtekar and G. Pullin, Ann. Isr. Phys. Soc. 9, 65 (1990)
28. J. Louko, Phys. Rev. D 51, 586 (1995)
29. R. Courant and D. Hilbert, Methoden der mathematischen Physik I (Springer, Berlin, 1968)
30. C. Bender and S. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978)
31. D. Marolf, Class. Quantum Grav. 12, 1199 (1995)
32. P. Amsterdamski, Phys. Rev. D 31, 3073 (1985)