Transgressing the horizons: Time operator in two-dimensional dilaton gravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 75, Issue 2, 2007, Pages

  Kunstatter, Gabor ^a   Louko, Jorma ^b  

^a UNIVERSITY OF WINNIPEG   (Canada)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846485099     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.024036     Document Type: Article

References (73)

1. D. Grumiller, W. Kummer, and D.V. Vassilevich, Phys. Rep. 369, 327 (2002). PRPLCM 0370-1573 10.1016/S0370-1573(02)00267-3
2. C. Rovelli, In Proceedings of the GR-15 Conference, Pune, India, 1997, edited by, N. Dadhich,,, J. Narlikar, (IUCAA, Ganeshkhind, Pune, 1998).
3. J. Gegenberg, G. Kunstatter, and R.D. Small, Class. Quant. Grav. CQGRDG 0264-9381 23, 6087 (2006). 10.1088/0264-9381/23/22/001
4. R.G. Daghigh, J. Gegenberg, and G. Kunstatter, gr-qc/0607122.
5. D. Louis-Martinez, J. Gegenberg, and G. Kunstatter, Phys. Lett. B 321, 193 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)90463-4
6. J. Gegenberg, G. Kunstatter, and D. Louis-Martinez, Phys. Rev. D 51, 1781 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.1781
7. D. Louis-Martinez and G. Kunstatter, Phys. Rev. D 49, 5227 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.49.5227
8. T. Thiemann and H.A. Kastrup, Nucl. Phys. NUPBBO 0550-3213 B399, 211 (1993). 10.1016/0550-3213(93)90623-W
9. H.A. Kastrup and T. Thiemann, Nucl. Phys. NUPBBO 0550-3213 B425, 665 (1994). 10.1016/0550-3213(94)90293-3
10. K.V. Kuchař, Phys. Rev. D 50, 3961 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.3961
11. M. Varadarajan, Phys. Rev. D 52, 7080 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.7080
12. M. Varadarajan, Phys. Rev. D 63, 084007 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.084007
13. K.V. Kuchař, J.D. Romano, and M. Varadarajan, Phys. Rev. D 55, 795 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.55.795
14. V. Husain and O. Winkler, Phys. Rev. D 69, 084016 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.69.084016
15. V. Husain O. Winkler Class. Quant. Grav. CQGRDG 0264-9381 22, L127 (2005). 10.1088/0264-9381/22/21/L01
16. V. Husain and O. Winkler, Phys. Rev. D 71, 104001 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.71.104001
17. V. Husain O. Winkler Phys. Rev. D 73, 124007 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.124007
18. V. Husain and O. Winkler, Class. Quant. Grav. CQGRDG 0264-9381 22, L135 (2005). 10.1088/0264-9381/22/21/L02
19. S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time (Cambridge University Press, Cambridge, England, 1973).
20. R.M. Wald, Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (University of Chicago Press, Chicago, 1994).
21. P. Painlevé, C. R. Acad. Sci. (Paris) 173, 677 (1921).
22. A. Gullstrand, Ark. Mat. Astron. Fys. 16, 1 (1922). AMAFAX 0365-4133
23. P.A.M. Dirac, Lectures on Quantum Mechanics (Belfer Graduate School of Science, New York, 1964).
24. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, 1992).
25. K.V. Kuchař, in Proceedings of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics, edited by, G. Kunstatter,,, D.E. Vincent,, and, J.G. Williams, (World Scientific, Singapore, 1992).
26. A. Ashtekar, Lectures on Non-Perturbative Canonical Gravity (World Scientific, Singapore, 1991).
27. A. Ashtekar and R.S. Tate, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 35, 6434 (1994). 10.1063/1.530684
28. V. de Alfaro, S. Fubini, and G. Furlan, Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 34, 569 (1976).
29. S. Carlip, Phys. Rev. Lett. 82, 2828 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.2828
30. S. Carlip Phys. Rev. Lett. 88, 241301 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.88.241301
31. S.N. Solodukhin, Phys. Lett. B 454, 213 (1999). PYLBAJ 0370-2693 10.1016/S0370-2693(99)00398-6
32. R.M. Cavalcanti and C.A.A. de Carvalho, J. Phys. A JPHAC5 0305-4470 31, 2391 (1998); 10.1088/0305-4470/31/10/014
33. R.M. Cavalcanti C.A.A. de Carvalho J. Phys. A JPHAC5 0305-4470 32, 6119 (1999); 10.1088/0305-4470/32/33/501
34. H.E. Camblong and C.R. Ordonez, Phys. Rev. D 68, 125013 (2003); PRVDAQ 0556-2821 10.1103/PhysRevD.68.125013
35. H.E. Camblong, L.N. Epele, H. Fanchiotti, and C.A. Garcia Canal, Ann. Phys. (N.Y.) APNYA6 0003-4916 287, 14 (2001); 10.1006/aphy.2000.6092
36. H.E. Camblong L.N. Epele H. Fanchiotti C.A. Garcia Canal Phys. Rev. Lett. 85, 1590 (2000); PRLTAO 0031-9007 10.1103/PhysRevLett.85.1590
37. S. Weinberg, Physica A (Amsterdam) 96, 327 (1979); PHYADX 0378-4371 10.1016/0378-4371(79)90223-1
38. S. Weinberg Nucl. Phys. NUPBBO 0550-3213 B363, 3 (1991); 10.1016/0550-3213(91)90231-L
39. C. Ordonez, L. Ray, and U. van Kolck, Phys. Rev. C 53, 2086 (1996). PRVCAN 0556-2813 10.1103/PhysRevC.53.2086
40. Handbook of Mathematical Functions, edited by, M. Abramowitz, and, I.A. Stegun, (Dover, New York, 1965).
41. W. Thirring, A Course in Mathematical Physics, Vol. 3: Quantum Mechanics of Atoms and Molecules (Springer, New York, 1981).
42. J.D. Bekenstein, Lett. Nuovo Cimento 11, 467 (1974). NCLTAX 0024-1318
43. A. Strominger and C. Vafa, Phys. Lett. B 379, 99 (1996). PYLBAJ 0370-2693 10.1016/0370-2693(96)00345-0
44. A. Ashtekar, J. Baez, A. Corichi, and K. Krasnov, Phys. Rev. Lett. 80, 904 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.904
45. J. Louko and J. Mäkelä, Phys. Rev. D 54, 4982 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.54.4982
46. A. Barvinsky and G. Kunstatter, Phys. Lett. B 389, 231 (1996). PYLBAJ 0370-2693 10.1016/S0370-2693(96)01261-0
47. J.R. Klauder, in: Relativity, edited by, M. Carmeli,,, S.I. Fickler,, and, L.W. Witten, (Plenum, New York, 1970).
48. J.R. Klauder and E.W. Aslaksen, Phys. Rev. D 2, 272 (1970). PRVDAQ 0556-2821 10.1103/PhysRevD.2.272
49. J. Gegenberg and G. Kunstatter, Phys. Rev. D 47, R4192 (1993). PRVDAQ 0556-2821 10.1103/PhysRevD.47.R4192
50. M.K. Parikh and F. Wilczek, Phys. Rev. Lett. 85, 5042 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.5042
51. K. Srinivasan and T. Padmanabhan, Phys. Rev. D 60, 024007 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.60.024007
52. S. Shankaranarayanan, T. Padmanabhan, and K. Srinivasan, Class. Quant. Grav. CQGRDG 0264-9381 19, 2671 (2002). 10.1088/0264-9381/19/10/310
53. E.C. Vagenas, Nuovo Cimento Soc. Ital. Fis. B NIFBAP 0369-4100 117, 899 (2002);
54. A.J.M. Medved and E.C. Vagenas, Mod. Phys. Lett. A 20, 2449 (2005); MPLAEQ 0217-7323 10.1142/S021773230501861X
55. A.J.M. Medved E.C. Vagenas Mod. Phys. Lett. A 20, 1723 (2005); MPLAEQ 0217-7323 10.1142/S0217732305018025
56. M. Arzano, A.J.M. Medved, and E.C. Vagenas, J. High Energy Phys. JHEPFG 1029-8479 09 (2005) 037. 10.1088/1126-6708/2005/09/037
57. M. Angheben, M. Nadalini, L. Vanzo, and S. Zerbini, J. High Energy Phys. JHEPFG 1029-8479 05 (2005) 014; 10.1088/1126-6708/2005/05/014
58. M. Nadalini, L. Vanzo, and S. Zerbini, J. Phys. A JPHAC5 0305-4470 39, 6601 (2006). 10.1088/0305-4470/39/21/S59
59. R. Kerner and R.B. Mann, Phys. Rev. D 73, 104010 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.104010
60. E.T. Akhmedov, V. Akhmedova, and D. Singleton, Phys. Lett. B 642, 124 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2006.09.028
61. J. Louko and B.F. Whiting, Phys. Rev. D 51, 5583 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.5583
62. S. Bose, J. Louko, L. Parker, and Y. Peleg, Phys. Rev. D 53, 5708 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.53.5708
63. J. Louko and S.N. Winters-Hilt, Phys. Rev. D 54, 2647 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.54.2647
64. J. Louko, J.Z. Simon, and S.N. Winters-Hilt, Phys. Rev. D 55, 3525 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.55.3525
65. G. Kunstatter, R. Petryk, and S. Shelemy, Phys. Rev. D 57, 3537 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.57.3537
66. C. Kiefer and J. Louko, Ann. Phys. (Leipzig) ANPYA2 0003-3804 8, 67 (1999). 10.1002/(SICI)1521-3889(199901)8:1<67::AID-ANDP67>3.0. CO;2-6
67. A.J.M. Medved and G. Kunstatter, Phys. Rev. D 59, 104005 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.104005
68. A.J.M. Medved, Class. Quant. Grav. CQGRDG 0264-9381 20, 2147 (2003). 10.1088/0264-9381/20/11/314
69. A. Ashtekar, Phys. Rev. Lett. 77, 4864 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.4864
70. R. Gambini and J. Pullin, Mod. Phys. Lett. A 12, 2407 (1997). MPLAEQ 0217-7323 10.1142/S0217732397002508
71. M. Varadarajan, Phys. Rev. D 57, 3463 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.57.3463
72. J. Lewandowski and D. Marolf, Int. J. Mod. Phys. D 7, 299 (1998). IMPDEO 0218-2718 10.1142/S0218271898000231
73. R. Gambini, J. Lewandowski, D. Marolf, and J. Pullin, Int. J. Mod. Phys. D 7, 97 (1998). IMPDEO 0218-2718 10.1142/S0218271898000103