Quantization of static space-times

Physical Review D

Volumn 65, Issue 6, 2002, Pages

  Ma, Yongge ^a,b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b BEIJING NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; GRAVITY; PHYSICS; QUANTUM THEORY; SPACE; TIME;

EID: 0037087969     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.65.064012     Document Type: Article

References (37)

1. A. Ashtekar, Phys. Rev. Lett. 57, 2244 (1986).
2. C. Rovelli, Living Rev. Relativ, 1, No. 1998-1 (1998).
3. A. Ashtekar, "Quantum Mechanics of Geometry," gr-qc/9901023.
4. A. Ashtekar, J. Lewandowski, D. Marolf, J. Mourao, and T. Thiemann, J. Math. Phys. 36, 6456 (1995).
5. J.C. Baez, in The Interface of Knots and Physics, edited by L. Kauffman (American Mathematical Society, Providence, RI, 1996).
6. T. Thiemann, J. Math. Phys. 39, 3372 (1998).
7. C. Rovelli and L. Smolin, Nucl. Phys. B442, 593 (1995).
8. A. Ashtekar and J. Lewandowski, Class. Quantum Grav. 14, A43 (1997).
9. R. DePietri and C. Rovelli, Phys. Rev. D 54, 2664 (1996).
10. A. Ashtekar and J. Lewandowski, Adv. Theor. Math. Phys. 1, 388 (1998).
11. Y. Ma and Y. Ling, Phys. Rev. D 62, 104021 (2000).
12. A. Ashtekar, C. Rovelli, and L. Smolin, Phys. Rev. Lett. 69, 237 (1992).
13. Y. Ma and Y. Ling, Phys. Rev. D 62, 064030 (2000).
14. A. Corichi and J.M. Reyes, Int. J. Mod. Phys. D 10, 325 (2001).
15. L. Bombelli, "Statistical Geometry of Random Weave States," gr-qc/0101080.
16. T. Thiemann, Class. Quantum Grav. 18, 2025 (2001).
17. C. Rovelli, Helv. Phys. Acta 69, 582 (1996).
18. A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov, Phys. Rev. Lett. 80, 904 (1998).
19. A. Ashtekar, J. Baez, and K. Krasnov, Adv. Theor. Math. Phys. 4, 1 (2000).
20. M. Bojowald, Phys. Rev. Lett. 86, 5227 (2001).
21. A. Perez, Nucl. Phys. B599, 427 (2001).
22. L. Crane, A. Perez, and C. Rovelli, "A Finiteness Proof for the Lorenzian State Sum Spin-Foam Model for Quantum General Relativity," gr-qc/0104057.
23. G. Immirzi, Class. Quantum Grav. 14, L177 (1997).
24. J. Samuel, Class. Quantum Grav. 17, L141 (2000).
25. T. Thiemann, Class. Quantum Grav. 15, 839 (1998).
26. C. Di Bartolo, R. Gambini, J. Griego, and J. Pullin, Phys. Rev. Lett. 84, 2314 (2000).
27. T. Thiemann, Class. Quantum Grav. 15, 1487 (1998);
28. T. Thiemann, Class. Quantum Grav., 15, 1281 (1998).
29. T. Thiemann, Class. Quantum Grav. 15, 1249 (1998).
30. C. Rovelli and L. Smolin, Phys. Rev. D 52, 5743 (1995).
31. R. Geroch, J. Math. Phys. 12, 918 (1971).
32. R.M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984).
33. J.D. Romano, Gen. Relativ. Gravit. 25, 759 (1993).
34. I. Montvay and G. Munster, Quantum Fields on a Lattice (Cambridge University Press, Cambridge, England, 1997).
35. S.W. Hawking and G.T. Horowitz, Class. Quantum Grav. 13, 1487 (1996).
36. Y. Ma (in preparation).
37. A. Ashtekar, A. Corichi, and K. Krasnov, Adv. Theor. Math. Phys. 3, 418 (1999).