Is Barbero's Hamiltonian formulation a gauge theory of Lorentzian gravity?

Classical and Quantum Gravity

Volumn 17, Issue 20, 2000, Pages

  Samuel, Joseph ^a  

^a RAMAN RESEARCH INSTITUTE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034336562     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/17/20/101     Document Type: Article

References (28)

1. Ashtekar A 1986 Phys. Rev. Lett. 57 2244 Ashtekar A 1987 Phys. Rev. D 36 1587 see also [13]
2. Ashtekar A 1986 Phys. Rev. Lett. 57 2244 Ashtekar A 1987 Phys. Rev. D 36 1587 see also [13]
3. For exhaustive references in this area, see the review article by Gaul M and Rovelli C Preprint gr-qc/9910079
4. Witten E 1998 Nucl. Phys. B 311 46
5. Achucarro A and Townsend P K 1986 Phys. Lett. B 180 89
6. Carlip S 1998 Quantum Gravity in 2 + 1 Dimensions (Cambridge: Cambridge University Press)
7. Barbero J F 1995 Phys. Rev. D 51 5507 Barbero J F 1995 Preprint gr-qc/9410014)
8. Barbero J F 1995 Phys. Rev. D 51 5507 (Barbero J F 1995 Preprint gr-qc/9410014)
9. See Rovelli C 1997 Loop Quantum Gravity Living Reviews Preprint gr-qc/9710008
10. Immirzi G 1997 Class. Quantum Grav. 14 L177-81 (Immirzi G 1995 Preprint gr-qc/9511026)
11. Immirzi G 1997 Class. Quantum Grav. 14 L177-81 (Immirzi G 1995 Preprint gr-qc/9511026)
12. Utiyama R 1956 Phys. Rev 101 1597
13. Kibble T W B 1961 J. Math. Phys. 2 212
14. Holst S 1996 Phys. Rev. D 53 5966 (Holst S 1995 Preprint gr-qc/9511026)
15. Holst S 1996 Phys. Rev. D 53 5966 (Holst S 1995 Preprint gr-qc/9511026)
16. Ashtekar A, Baez J, Corichi A and Krasnov K 1998 Phys. Rev. Lett. 80 904 Kaul R K and Majumdar P 2000 Phys. Rev. Lett. 84 5255 (Kaul R K and Majumdar P 2000 Preprint gr-qc/0002040)
17. Ashtekar A, Baez J, Corichi A and Krasnov K 1998 Phys. Rev. Lett. 80 904 Kaul R K and Majumdar P 2000 Phys. Rev. Lett. 84 5255 (Kaul R K and Majumdar P 2000 Preprint gr-qc/0002040)
18. Ashtekar A, Baez J, Corichi A and Krasnov K 1998 Phys. Rev. Lett. 80 904 Kaul R K and Majumdar P 2000 Phys. Rev. Lett. 84 5255 (Kaul R K and Majumdar P 2000 Preprint gr-qc/0002040)
19. Ashtekar A 1991 (notes prepared in collaboration with R Tate) Lectures on Non-perturbative Canonical Gravity (Singapore: World Scientific)
20. Samuel J 2000 Canonical Gravity, Diffeomorphisms and Objective Histories Preprint
21. Jacobson T and Smolin L 1988 Class. Quantum Grav. 5 583 Samuel J 1987 Pramana-J. Phys. 28 L429
22. Jacobson T and Smolin L 1988 Class. Quantum Grav. 5 583 Samuel J 1987 Pramana-J. Phys. 28 L429
23. Cartan E 1986 On Manifolds with an Affine Connection and the Theory of General Relativity (English trans.) A Magnon and A Ashtekar (Naples Italy: Bibliopolis)
24. Alexandrov S 2000 SO(4, C)-covariant Ashtekar-Barbero gravity and the Immirzi parameter Preprint gr-qc/0005085
25. Barros e Sá N 2000 Hamiltonian analysis of general relativity with the Immirzi parameter Preprint gr-qc/0006013
26. Rovelli C and Thiemann T 1997 The Immirzi parameter in quantum general relativity Preprint gr-qc/9705059
27. Samuel J 2000 Comment on the Immirzi parameter in quantum general relativity Phys. Rev. submitted
28. Ashtekar A 1996 Phys. Rev. D 53 2865