Probing quantum gravity through exactly soluble midi-superspaces I

Journal of Mathematical Physics

Volumn 37, Issue 12, 1996, Pages 6250-6270

  Ashtekar, A ^a   Pierri, M ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030362939     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531774     Document Type: Article

References (28)

1. Conceptual Problems of Quantum Gravity, edited by A. Ashtekar and J. Stachel (Birkhäuser, Boston, 1991); C.J. Isham, in The Proceedings of the 1992 NATO advanced study institute on Recent Problems in Mathematical Physics; K. Kuchař, in The Proceedings of the 4th Canadian conference on General Relativity and Relativistic Astrophysics, edited by G. Kunstatter, D. Vincent, and J. Williams (World Scientific, Singapore, 1992).
2. Conceptual Problems of Quantum Gravity, edited by A. Ashtekar and J. Stachel (Birkhäuser, Boston, 1991); C.J. Isham, in The Proceedings of the 1992 NATO advanced study institute on Recent Problems in Mathematical Physics; K. Kuchař, in The Proceedings of the 4th Canadian conference on General Relativity and Relativistic Astrophysics, edited by G. Kunstatter, D. Vincent, and J. Williams (World Scientific, Singapore, 1992).
3. Conceptual Problems of Quantum Gravity, edited by A. Ashtekar and J. Stachel (Birkhäuser, Boston, 1991); C.J. Isham, in The Proceedings of the 1992 NATO advanced study institute on Recent Problems in Mathematical Physics; K. Kuchař, in The Proceedings of the 4th Canadian conference on General Relativity and Relativistic Astrophysics, edited by G. Kunstatter, D. Vincent, and J. Williams (World Scientific, Singapore, 1992).
4. C. W. Misner, in Magic Without Magic: John Archibald Wheeler, edited by J. Klauder (Freeman, San Francisco, 1972); M. Ryan, Hamiltonian Cosmology, (Springer-Verlag, Berlin, 1972); A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Theor. Phys., D 2, 15 (1993).
5. C. W. Misner, in Magic Without Magic: John Archibald Wheeler, edited by J. Klauder (Freeman, San Francisco, 1972); M. Ryan, Hamiltonian Cosmology, (Springer-Verlag, Berlin, 1972); A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Theor. Phys., D 2, 15 (1993).
6. C. W. Misner, in Magic Without Magic: John Archibald Wheeler, edited by J. Klauder (Freeman, San Francisco, 1972); M. Ryan, Hamiltonian Cosmology, (Springer-Verlag, Berlin, 1972); A. Ashtekar, R. S. Tate, and C. Uggla, Int. J. Theor. Phys., D 2, 15 (1993).
7. S. Carlip, in Knots and Quantum Gravity, edited by J. Baez (Clarendon, Oxford, 1994); J. Korean Phys. Soc. (Proc. Suppl.) 28, S447 (1995).
8. S. Carlip, in Knots and Quantum Gravity, edited by J. Baez (Clarendon, Oxford, 1994); J. Korean Phys. Soc. (Proc. Suppl.) 28, S447 (1995).
9. A. Ashtekar, Lectures on Non-perturbative canonical gravity, notes prepared in collaboration with R. S. Tate (World Scientific, Singapore, 1991).
10. D. Krammer, H. Stephani, E. Herlt, and M. MacCallum, Exact solutions of Einstein's field equations (Cambridge U. P., Cambridge, 1980), p. 326.
11. A. Ashtekar and M. Varadarajan, Phys. Rev. D 40, 4944 (1994).
12. K. Kuchař, Phys. Rev. D 4, 955 (1971).
13. M. Allen, Class. Quant. Grav. 4, 149 (1987).
14. M. Varadarajan, Phys. Rev. D 52, 2020 (1995).
15. J. A. Wheeler, in Relativity, Groups and Topology, edited by C. DeWitt and B. S. DeWitt (Gordon and Breach, New York, 1964).
16. B. K. Berger, P. T. Chruściel, and V. Moncrief, Ann. Phys. 237, 322 (1995).
17. E. Witten, Nucl. Phys. B 311, 46 (1988); A. Ashtekar, V. Husain, C. Rovelli, J. Samuel, and L. Smolin, Class. Grav. 6, L185 (1989).
18. E. Witten, Nucl. Phys. B 311, 46 (1988); A. Ashtekar, V. Husain, C. Rovelli, J. Samuel, and L. Smolin, Class. Grav. 6, L185 (1989).
19. J. Glimm and A. Jaffe, Quantum Physics (Springer-Verlag, New York, 1987).
20. A. Ashtekar, J. Bicak, and B. S. Schmidt, preprint CGPC-96/5-1.
21. A. Ashtekar, Asymptotic Quantization (Bibliopolis, Naples, 1987).
22. J. T. Cannon and A. M. Gaffe, Common. Math. Pays. 17, 261 (1970).
23. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol II, theorem X.3 (Academic, New York, 1975).
24. J. Romano and C. Torre, Internal time formalism for space-times with two Killing vectors, Utah preprint (1995).
25. C. Torre, Class. Quant. Grav. 8, 1895 (1991).
26. D. Korotkin and H. Nicolai, pre-print hep-th/9605144.
27. A. Ashtekar and V. Husain (in preparation).
28. S. Frettelli, C. Kozameh, E. T. Newman, C. Rovelli, and R. S. Tate, pre-print gr-qc/9603061.