Exact Bianchi identity in Regge gravity

Classical and Quantum Gravity

Volumn 21, Issue 24, 2004, Pages 5915-5947

  Hamber, Herbert W ^a   Kagel, Geoff ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10844242056     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/21/24/013     Document Type: Article

References (85)

1. Regge T 1961 Nuovo Cimento 19 558
2. Wheeler J A 1964 Geometrodynamics and the issue of the final state Relativity, Groups, and Topology ed C DeWitt and B S DeWitt (New York: Gordon and Breach) pp 467-500
3. Roček M and Williams R M 1981 Phys. Lett. B 104 31 Roček M and Williams R M 1984 Z. Phys. C 21 371
4. Roček M and Williams R M 1981 Phys. Lett. B 104 31 Roček M and Williams R M 1984 Z. Phys. C 21 371
5. Roček M and Williams R M 1982 Introduction to quantum Regge calculus Quantum Structure of Space and Time ed M J Duff and C J Isham (Cambridge: Cambridge University Press)
6. Cheeger J, Müller W and Schrader R 1984 Commun. Math. Phys. 92 405
7. Cheeger J, Müller W and Schrader R 1982 Unified Theories of Elementary Particles, Heisenberg Symp. (Munich, 1981) (Springer Lecture Notes in Physics) ed P Breitlohner and H P Dürr (New York: Springer)
8. Hamber H W and Williams R M 1984 Nucl. Phys. B 248 392 Hamber H W and Williams R M 1985 Nucl. Phys. B 260 747 Hamber H W and Williams R M 1985 Phys. Lett. B 157 368 Hamber H W and Williams R M 1986 Nucl. Phys. B 267 482 Hamber H W and Williams R M 1986 Nucl. Phys. B 269 712
9. Hamber H W and Williams R M 1984 Nucl. Phys. B 248 392 Hamber H W and Williams R M 1985 Nucl. Phys. B 260 747 Hamber H W and Williams R M 1985 Phys. Lett. B 157 368 Hamber H W and Williams R M 1986 Nucl. Phys. B 267 482 Hamber H W and Williams R M 1986 Nucl. Phys. B 269 712
10. Hamber H W and Williams R M 1984 Nucl. Phys. B 248 392 Hamber H W and Williams R M 1985 Nucl. Phys. B 260 747 Hamber H W and Williams R M 1985 Phys. Lett. B 157 368 Hamber H W and Williams R M 1986 Nucl. Phys. B 267 482 Hamber H W and Williams R M 1986 Nucl. Phys. B 269 712
11. Hamber H W and Williams R M 1984 Nucl. Phys. B 248 392 Hamber H W and Williams R M 1985 Nucl. Phys. B 260 747 Hamber H W and Williams R M 1985 Phys. Lett. B 157 368 Hamber H W and Williams R M 1986 Nucl. Phys. B 267 482 Hamber H W and Williams R M 1986 Nucl. Phys. B 269 712
12. Hamber H W and Williams R M 1984 Nucl. Phys. B 248 392 Hamber H W and Williams R M 1985 Nucl. Phys. B 260 747 Hamber H W and Williams R M 1985 Phys. Lett. B 157 368 Hamber H W and Williams R M 1986 Nucl. Phys. B 267 482 Hamber H W and Williams R M 1986 Nucl. Phys. B 269 712
13. Hartle J B 1985 J. Math. Phys. 26 804 Hartle J B 1985 J. Math. Phys. 27 287 Hartle J B 1989 J. Math. Phys. 30 452
14. Hartle J B 1985 J. Math. Phys. 26 804 Hartle J B 1985 J. Math. Phys. 27 287 Hartle J B 1989 J. Math. Phys. 30 452
15. Hartle J B 1985 J. Math. Phys. 26 804 Hartle J B 1985 J. Math. Phys. 27 287 Hartle J B 1989 J. Math. Phys. 30 452
16. Hartle J B 1985 Proc. 3rd Moscow Seminar on Quantum Gravity ed M Markov, V Berezin and V Frolov (Singapore: World Scientific)
17. Hamber H W 1986 Simplicial quantum gravity Critical Phenomena, Random Systems, Gauge Theories, 1984 (Les Hauches Summer School, Session XLIII) ed K Osterwalder and R Stora (Amsterdam: North Holland) Hamber H W 1992 Nucl. Phys. Proc. Suppl. A 25 150-75
18. Hamber H W 1986 Simplicial quantum gravity Critical Phenomena, Random Systems, Gauge Theories, 1984 (Les Hauches Summer School, Session XLIII) ed K Osterwalder and R Stora (Amsterdam: North Holland) Hamber H W 1992 Nucl. Phys. Proc. Suppl. A 25 150-75
19. Friedberg R and Lee T D 1984 Nucl. Phys. B 242 145 Feinberg G, Friedberg R, Lee T D and Ren H C 1984 Nucl. Phys. B 245 343
20. Friedberg R and Lee T D 1984 Nucl. Phys. B 242 145 Feinberg G, Friedberg R, Lee T D and Ren H C 1984 Nucl. Phys. B 245 343
21. Lee T D 1985 Discrete mechanics 1983 Erice Int. School of Subnuclear Physics vol 21 (New York: Plenum)
22. Hamber H W 1990 Probabilistic Methods in Quantum Field Theory and Quantum Gravity (Cargèse 1989) (New York: Plenum) pp 243-57
23. Williams R M 1992 Discrete quantum gravity: the Regge calculus approach Int. J. Mod. Phys. B 6 2097-108
24. Fröhlich J 1992 Regge calculus and discretized gravitational functional integrals (IHES Preprint 1981) Non-Perturbative Quantum Field Theory: Mathematical Aspects and Applications (Singapore: World Scientific) pp 523-45 (Selected Papers)
25. Regge T and Williams R M 2000 J. Math. Phys. 41 3964 (Preprint gr-qc/0012035)
26. Williams R M 1997 Nucl. Phys. Proc. Suppl. 57 73 (Preprint gr-qc/9702006)
27. Feynman R P1962 Lectures on Gravitation (Caltech Lecture Notes) ed F Morinigo and W Wagner (CA: Caltech)
28. Weinberg S 1972 Gravitation and Cosmology (New York: Wiley)
29. Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (San Francisco, CA: Freeman)
30. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
31. Miller W 1986 Found. Phys. 16 143-69 Miller W 1997 Class. Quantum Grav. 14 L199-204
32. Miller W 1986 Found. Phys. 16 143-69 Miller W 1997 Class. Quantum Grav. 14 L199-204
33. Morse P 1992 J. Class. Quantum Grav. 9 2489
34. Wong C Y 1971 J. Math. Phys. 12 70 Collins P A and Williams R M 1972 Phys. Rev. D 5 1908 Collins P A and Williams R M 1973 Phys. Rev. D 7 965 Collins P A and Williams R M 1974 Phys. Rev. D 10 353 Williams R M and Ellis G F R 1981 Gen. Rel. Grav. 13 361
35. Wong C Y 1971 J. Math. Phys. 12 70 Collins P A and Williams R M 1972 Phys. Rev. D 5 1908 Collins P A and Williams R M 1973 Phys. Rev. D 7 965 Collins P A and Williams R M 1974 Phys. Rev. D 10 353 Williams R M and Ellis G F R 1981 Gen. Rel. Grav. 13 361
36. Wong C Y 1971 J. Math. Phys. 12 70 Collins P A and Williams R M 1972 Phys. Rev. D 5 1908 Collins P A and Williams R M 1973 Phys. Rev. D 7 965 Collins P A and Williams R M 1974 Phys. Rev. D 10 353 Williams R M and Ellis G F R 1981 Gen. Rel. Grav. 13 361
37. Wong C Y 1971 J. Math. Phys. 12 70 Collins P A and Williams R M 1972 Phys. Rev. D 5 1908 Collins P A and Williams R M 1973 Phys. Rev. D 7 965 Collins P A and Williams R M 1974 Phys. Rev. D 10 353 Williams R M and Ellis G F R 1981 Gen. Rel. Grav. 13 361
38. Wong C Y 1971 J. Math. Phys. 12 70 Collins P A and Williams R M 1972 Phys. Rev. D 5 1908 Collins P A and Williams R M 1973 Phys. Rev. D 7 965 Collins P A and Williams R M 1974 Phys. Rev. D 10 353 Williams R M and Ellis G F R 1981 Gen. Rel. Grav. 13 361
39. Sorkin R 1975 Phys. Rev. D 12 385-96 Sorkin R 1975 J. Math. Phys. 16 2432 Sorkin R 1978 J. Math. Phys. 19 1800
40. Sorkin R 1975 Phys. Rev. D 12 385-96 Sorkin R 1975 J. Math. Phys. 16 2432 Sorkin R 1978 J. Math. Phys. 19 1800
41. Sorkin R 1975 Phys. Rev. D 12 385-96 Sorkin R 1975 J. Math. Phys. 16 2432 Sorkin R 1978 J. Math. Phys. 19 1800
42. Gentle A, Holz D, Miller W A and Wheeler J A 1999 Class. Quantum Grav. 16 1979 Chakrabarti S, Gentle A, Kheyfets A and Miller W A 1999 Class. Quantum Grav. 16 2381 Miller W A 1997 Class. Quantum Grav. 14 L199 Gentle A and Miller W A 1998 Class. Quantum Grav. 15 389 Barrett J W, Galassi M, Miller W A, Sorkin R D, Tuckey P A and Williams R M 1997 Int. J. Theor. Phys. 36 815
43. Gentle A, Holz D, Miller W A and Wheeler J A 1999 Class. Quantum Grav. 16 1979 Chakrabarti S, Gentle A, Kheyfets A and Miller W A 1999 Class. Quantum Grav. 16 2381 Miller W A 1997 Class. Quantum Grav. 14 L199 Gentle A and Miller W A 1998 Class. Quantum Grav. 15 389 Barrett J W, Galassi M, Miller W A, Sorkin R D, Tuckey P A and Williams R M 1997 Int. J. Theor. Phys. 36 815
44. Gentle A, Holz D, Miller W A and Wheeler J A 1999 Class. Quantum Grav. 16 1979 Chakrabarti S, Gentle A, Kheyfets A and Miller W A 1999 Class. Quantum Grav. 16 2381 Miller W A 1997 Class. Quantum Grav. 14 L199 Gentle A and Miller W A 1998 Class. Quantum Grav. 15 389 Barrett J W, Galassi M, Miller W A, Sorkin R D, Tuckey P A and Williams R M 1997 Int. J. Theor. Phys. 36 815
45. Gentle A, Holz D, Miller W A and Wheeler J A 1999 Class. Quantum Grav. 16 1979 Chakrabarti S, Gentle A, Kheyfets A and Miller W A 1999 Class. Quantum Grav. 16 2381 Miller W A 1997 Class. Quantum Grav. 14 L199 Gentle A and Miller W A 1998 Class. Quantum Grav. 15 389 Barrett J W, Galassi M, Miller W A, Sorkin R D, Tuckey P A and Williams R M 1997 Int. J. Theor. Phys. 36 815
46. Gentle A, Holz D, Miller W A and Wheeler J A 1999 Class. Quantum Grav. 16 1979 Chakrabarti S, Gentle A, Kheyfets A and Miller W A 1999 Class. Quantum Grav. 16 2381 Miller W A 1997 Class. Quantum Grav. 14 L199 Gentle A and Miller W A 1998 Class. Quantum Grav. 15 389 Barrett J W, Galassi M, Miller W A, Sorkin R D, Tuckey P A and Williams R M 1997 Int. J. Theor. Phys. 36 815
47. Williams R M and Tuckey P A 1992 Class. Quantum Grav. 9 1409 Williams R M 1992 Int. J. Mod. Phys. B 6 2097
48. Williams R M and Tuckey P A 1992 Class. Quantum Grav. 9 1409 Williams R M 1992 Int. J. Mod. Phys. B 6 2097
49. Rocek M and Williams R M 1985 Class. Quantum Grav. 2 701
50. Berg B 1985 Phys. Rev. Lett. 55 904 Berg B 1986 Phys. Lett. B 176 39
51. Berg B 1985 Phys. Rev. Lett. 55 904 Berg B 1986 Phys. Lett. B 176 39
52. Williams R M 1986 Class. Quantum Grav. 3 853
53. Piran T and Williams R M 1986 Phys. Rev. D 33 1622
54. Jevicki A and Ninomiya M 1985 Phys. Lett. B 150 115 Jevicki A and Ninomiya M 1986 Phys. Rev. D 33 1634
55. Jevicki A and Ninomiya M 1985 Phys. Lett. B 150 115 Jevicki A and Ninomiya M 1986 Phys. Rev. D 33 1634
56. Bander M 1986 Phys. Rev. Lett. 57 1825
57. Roček M and Williams R M 1991 Phys. Lett. B 273 95
58. Hamber H W and Williams R M 1993 Phys. Rev. D 47 510
59. Immirzi G 1994 Class. Quantum Grav. 11 1971 (Preprint gr-qc/9402004) Immirzi G 1996 Class. Quantum Grav. 13 2385 (Preprint gr-qc/9512040) Immirzi G 1997 Nucl. Phys. Proc. Suppl. 57 65 (Preprint gr-qc/9701052)
60. Immirzi G 1994 Class. Quantum Grav. 11 1971 (Preprint gr-qc/9402004) Immirzi G 1996 Class. Quantum Grav. 13 2385 (Preprint gr-qc/9512040) Immirzi G 1997 Nucl. Phys. Proc. Suppl. 57 65 (Preprint gr-qc/9701052)
61. Immirzi G 1994 Class. Quantum Grav. 11 1971 (Preprint gr-qc/9402004) Immirzi G 1996 Class. Quantum Grav. 13 2385 (Preprint gr-qc/9512040) Immirzi G 1997 Nucl. Phys. Proc. Suppl. 57 65 (Preprint gr-qc/9701052)
62. Hartle J B, Miller W A and Williams R M 1997 Class. Quantum Grav. 14 2137 (Preprint gr-qc/9609028)
63. Hamber H W and Williams R M 1997 Nucl. Phys. B 487 345 Hamber H W and Williams R M 1995 Nucl. Phys. B 451 305 Hamber H W and Williams R M 1999 Phys. Rev. D 59 064014
64. Hamber H W and Williams R M 1997 Nucl. Phys. B 487 345 Hamber H W and Williams R M 1995 Nucl. Phys. B 451 305 Hamber H W and Williams R M 1999 Phys. Rev. D 59 064014
65. Hamber H W and Williams R M 1997 Nucl. Phys. B 487 345 Hamber H W and Williams R M 1995 Nucl. Phys. B 451 305 Hamber H W and Williams R M 1999 Phys. Rev. D 59 064014
66. Coxeter H 1948 Regular Polytopes (London: Methuen)
67. Coxeter H 1974 Regular Complex Polytopes (Cambridge: Cambridge University Press)
68. Alexandroff P S 1956 Combinatorial Topology (Rochester, NY: Graylock)
69. Alexandroff A D 1958 Konvexe Polyeder (Berlin: Akademie)
70. Thurston W 1978 The Geometry and Topology of Three-Manifolds (Princeton, NJ: Princeton University Press) MSRI March 2002 (http://www.msri.org/publications/books/gt3m/PDF/index.pdf)
71. Kirby L 1995 Problems in low-dimensional topology UC Berkley Preprint (unpublished)
72. Warner N 1982 Proc. R. Soc. A 383 359
73. Cheeger J 1983 J. Diff. Geom. 18 575
74. Castellani L, Catenacci R, Debernardi M and Pagani C 2004 Int. J. Mod. Phys. A 19 1961 (Preprint math-ph/0211008)
75. Archer F and Williams R M 1991 Phys. Lett. B 273 438
76. Barrett J W, Rocek M and Williams R M 1999 Class. Quantum Grav. 16 1373 (Preprint gr-qc/9710056)
77. Barrett J W and Williams R M 1988 Class. Quantum Grav. 5 1543
78. Arcioni G, Carfora M, Marzuoli A and O'Loughlin M 2001 Nucl. Phys. B 619 690 (Preprint hep-th/0107112)
79. Carfora M, Dappiaggi C and Marzuoli A 2003 Advances in General Relativity and Cosmology ed G Ferrarese (Preprint gr-qc/0310039)
80. Khatsymovsky V M 2004 Phys. Lett. B 586 411 Khatsymovsky V M 2003 Phys. Lett. B 567 288 Khatsymovsky V M 2003 Phys. Lett. B 560 245 Khatsymovsky V M 2002 Phys. Lett. B 530 251
81. Khatsymovsky V M 2004 Phys. Lett. B 586 411 Khatsymovsky V M 2003 Phys. Lett. B 567 288 Khatsymovsky V M 2003 Phys. Lett. B 560 245 Khatsymovsky V M 2002 Phys. Lett. B 530 251
82. Khatsymovsky V M 2004 Phys. Lett. B 586 411 Khatsymovsky V M 2003 Phys. Lett. B 567 288 Khatsymovsky V M 2003 Phys. Lett. B 560 245 Khatsymovsky V M 2002 Phys. Lett. B 530 251
83. Khatsymovsky V M 2004 Phys. Lett. B 586 411 Khatsymovsky V M 2003 Phys. Lett. B 567 288 Khatsymovsky V M 2003 Phys. Lett. B 560 245 Khatsymovsky V M 2002 Phys. Lett. B 530 251
84. Batrouni G 1982 Nucl. Phys. B 208 467
85. Batrouni G and Halpern M B 1984 Phys. Rev. D 30 1782