Revised canonical quantum gravity via the frame fixing

International Journal of Modern Physics D

Volumn 13, Issue 1, 2004, Pages 165-186

  Mercuri, Simone ^a   Montani, Giovanni ^a  

^a ICRANET   (Italy)

Author keywords

Evolutive theory; Quantum gravity

Indexed keywords

EID: 12144262836     PISSN: 02182718     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218271804004359     Document Type: Article

References (32)

1. R. Arnowitt, S. Deser and C. Misner, "Dynamical structure and definition of energy in general relativity," Phys. Rev. 116, 1322 (1959).
2. R. Arnowitt, S. Deser and C. Misner, "Canonical variables for general relativity," Phys. Rev. 117, 1595 (1960).
3. R. Arnowitt, S. Deser and C. Misner, "Consistency of the canonical reduction of general relativity," J. Math. Phys. 1, 434 (1960).
4. R. Arnowitt, S. Deser and C. Misner, "The dynamics of general relativity," in Gravitation: An Introduction to Current Research, ed. L. Witten (Wiley, New York, 1962), pp. 227-265.
5. A. Ashtekar, Lectures on Non-Perturbative Canonical Gravity (World Scientific, Singapore, 1980).
6. N. D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge University Press, Cambridge, 1982).
7. B. S. DeWitt, "Quantum theory of gravity. I. The canonical theory," Phys. Rev. 160, 1113 (1967).
8. B. S. DeWitt, "The quantum and gravity: The Wheeler-DeWitt equation," Jerusalem, 22-27 June 1997, Proc. Eighth Marcell Grossmann Meeting, ed. T. Piran (World Scientific, 1999).
9. C. DiBartolo, R. Gambini and J. Pullin, "Canonical quantization of constrained theories on discrete space-time lattices," gr-qc/0205123.
10. R. Gambini and J. Pullin, "Canonical quantization of general relativity in discrete space-times," gr-qc/0206055 v2.
11. J. B. Hartle, in Conceptual Problems of Quantum Gravity, eds. A. Ashtekar and J. Stachel (Birkhauser, Boston, 1991).
12. J. B. Hartle, in Highlights in Gravitation and Cosmology, eds. B. Iver et al. (Cambrigde University Press, 1988).
13. J. B. Hartle and S. W. Hawking, "Wave function of the Universe," Phys. Rev, D28, 2960 (1983).
14. C. J. Isham, "Canonical quantum gravity and the problem of time," gr-qc/9201011.
15. A. A. Kirillov and G. Montani, "Origin of a classical space in quantum inhomegeneous models," JETP Lett. 66, 7, 475 (1997).
16. E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Reading, 1994), p. 447.
17. K. Kuchař, "Canonical quantization of gravity," Relativity, Astrophysics and Cosmology (Reidel, Dordrecht, 1973), pp. 237-288.
18. K. Kuchař, "Canonical methods of quantisation," Quantum Gravity 2 : A Second Oxford Symposium, eds. C. Isham, R. Penrose and D. Sciama (Clarendon Press, Oxford, 1981), pp. 329-374.
19. K. Kuchař, "The problem of time in canonical quantization," Conceptual Problems of Quantum Gravity, eds. A. Ashtekar and J. Stachel (Birkhäuser, Boston, 1991), pp. 141-171.
20. K. Kuchař, "Extrinsic curvature as a reference fluid in canonical gravity," Phys. Rev. D45, 4443 (1992).
21. K. Kuchař, "Time and interpretations of quantum gravity," Proceedings of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics (World Scientific, Singapore, 1992).
22. K. Kuchař and C. Torre, "Gaussian reference fluid and the interpretation of geometrodynamics," Phys. Rev. D43, 419 (1991).
23. W. Misner, K. Thorne and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973), Chaps. 43 and 21.
24. G. Montani, "Canonical quantization of gravity without "frozen formalism"," Nucl. Phys. B634, 370 (2002).
25. D. Oriti, "Spacetime from algebra: Spin foam models for non-perturbative quantum gravity," to appear in Rep. Prog. Phys., gr-qc/0106091.
26. T. Regge, "General relativity without coordinates," Nuovo Cimento 19, 558 (1961).
27. T. Regge, "Discrete gravity," Jerusalem, 22-27 June 1997, Proc. Eighth Marcell Grossmann Meeting, ed T. Piran (World Scientific, 1999).
28. C. Rovelli, "What is observable in classical and quantum gravity?" Class. Quantum Grav. 8, 297 (1991).
29. C. Rovelli, "Quantum reference system," Class. Quantum Grav. 8, 317 (1991).
30. C. Rovelli, "Loop quantum gravity," Living Rev. Rel. 1, 1 (1998) [gr-qc/9710008].
31. T. Thiemann, "Introduction to modern canonical quantum general relativity," gr-qc/0110034.
32. R. M. Wald, General Relativity (The University of Chicago Press, 1984).