Linear connections with a propagating spin-3 field in gravity

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 74, Issue 12, 2006, Pages

  Baekler, Peter ^a   Boulanger, Nicolas ^b   Hehl, Friedrich W ^c,d  

^a UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b UNIVERSITY OF MONS   (Belgium)

^c UNIVERSITY OF COLOGNE   (Germany)

^d UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845562692     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.74.125009     Document Type: Article

References (66)

1. F.W. Hehl, J.D. McCrea, E.W. Mielke, and Y. Ne'eman, Phys. Rep. 258, 1 (1995). PRPLCM 0370-1573 10.1016/0370-1573(94)00111-F
2. H. Weyl, Gravitation und Elektrizität (Sitzungsber. Königl. Preuss. Akad. Wissensch., Berlin, 1918), pp. 465-480.
3. I. Kirsch, Phys. Rev. D 72, 024001 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.024001
4. N. Boulanger and I. Kirsch, Phys. Rev. D 73, 124023 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.124023
5. C. Fronsdal, Phys. Rev. D 18, 3624 (1978). PRVDAQ 0556-2821 10.1103/PhysRevD.18.3624
6. M.A. Vasiliev, Yad. Fiz. 32, 855 (1980) IDFZA7 0044-0027
7. [M.A. Vasiliev Sov. J. Nucl. Phys. 32, 439 (1980)]. SJNCAS 0038-5506
8. M. Gürses and F. Gürsey, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 16, 2385 (1975). 10.1063/1.522480
9. J.A. Schouten, Ricci-Calculus (Springer, Berlin, 1954), 2nd ed.
10. W. Thirring, Classical Mathematical Physics-Dynamical Systems and Field Theories (Springer, New York, 1997), 3rd ed.
11. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry (Interscience, New York, 1963), Vol. I.
12. T. Frankel, The Geometry of Physics-An Introduction (Cambridge University Press, Cambridge, England, 1997).
13. C. Heinicke, P. Baekler, and F.W. Hehl, Phys. Rev. D 72, 025012 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.025012
14. Y. Ne'eman and F.W. Hehl, Classical Quantum Gravity CQGRDG 0264-9381 14, A251 (1997). 10.1088/0264-9381/14/1A/020
15. Yu.N. Obukhov and R. Tresguerres, Phys. Lett. A 184, 17 (1993). PYLAAG 0375-9601 10.1016/0375-9601(93)90339-2
16. W. Esser, Diploma thesis, University of Cologne, 1996.
17. F.W. Hehl and A. Macías, Int. J. Mod. Phys. D 8, 399 (1999). IMPDEO 0218-2718 10.1142/S0218271899000316
18. Yu.N. Obukhov, E.J. Vlachynsky, W. Esser, R. Tresguerres, and F.W. Hehl, Phys. Lett. A 220, 1 (1996). PYLAAG 0375-9601 10.1016/0375-9601(96)00531-2
19. Yu.N. Obukhov, E.J. Vlachynsky, W. Esser, and F.W. Hehl, Phys. Rev. D 56, 7769 (1997). PRVDAQ 0556-2821 10.1103/PhysRevD.56.7769
20. B. de Wit and D.Z. Freedman, Phys. Rev. D 21, 358 (1980). PRVDAQ 0556-2821 10.1103/PhysRevD.21.358
21. S. Weinberg, Phys. Rev. B 138, 988 (1965).
22. X. Bekaert and N. Boulanger, Phys. Lett. B 561, 183 (2003); PYLBAJ 0370-2693 10.1016/S0370-2693(03)00409-X
23. X. Bekaert N. Boulanger " Mixed Symmetry Gauge Fields in a Flat Background, " in Proceedings of the International Seminar on Supersymmetries and Quantum Symmetries "SQS 03," Dubna, Russia, 2003.
24. X. Bekaert and N. Boulanger, hep-th/0606198 [Commun. Math. Phys. (to be published)]. CMPHAY 0010-3616
25. D. Francia and A. Sagnotti, Phys. Lett. B 543, 303 (2002); PYLBAJ 0370-2693 10.1016/S0370-2693(02)02449-8
26. D. Francia A. Sagnotti Classical Quantum Gravity CQGRDG 0264-9381 20, S473 (2003). 10.1088/0264-9381/20/12/313
27. D. Francia and A. Sagnotti, Phys. Lett. B 624, 93 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.08.002
28. A. Pashnev and M. Tsulaia, Mod. Phys. Lett. A 13, 1853 (1998); MPLAEQ 0217-7323 10.1142/S0217732398001947
29. A. Sagnotti and M. Tsulaia, Nucl. Phys. NUPBBO 0550-3213 B682, 83 (2004). 10.1016/j.nuclphysb.2004.01.024
30. T. Damour and S. Deser, Ann. Inst. Henri Poincaré Phys. théor. AIPTEO 0246-0211 47, 277 (1987).
31. M. Dubois-Violette and M. Henneaux, Lett. Math. Phys. 49, 245 (1999); LMPHDY 0377-9017 10.1023/A:1007658600653
32. M. Dubois-Violette M. Henneaux Commun. Math. Phys. 226, 393 (2002). CMPHAY 0010-3616 10.1007/s002200200610
33. V. Bargmann and E.P. Wigner, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 34, 211 (1948). 10.1073/pnas.34.5.211
34. Yu.N. Obukhov, Phys. Rev. D 73, 024025 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.024025
35. V. Pasic and D. Vassiliev, Classical Quantum Gravity CQGRDG 0264-9381 22, 3961 (2005). 10.1088/0264-9381/22/19/010
36. F. Gronwald and F.W. Hehl, in Proceedings of the International School of Cosmology and Gravitation: 14th Course: Quantum Gravity, Erice, Italy, 1995, edited by, P.G. Bergmann,, (World Scientific, Singapore, 1996), pp. 148-198.
37. A. Trautman, in Encyclopedia of Math. Physics, edited by, J.-P. Francoise,, (Elsevier, Oxford, 2006), pp. 189-195;
38. A. Trautman gr-qc/0606062.
39. C. Aragone and H. La Roche, Nuovo Cimento Soc. Ital. Fis. A NIFAAM 1124-1861 72, 149 (1982).
40. N. Boulanger, S. Cnockaert, and M. Henneaux, J. High Energy Phys. JHEPFG 1029-8479 06 (2003) 060. 10.1088/1126-6708/2003/06/060
41. J. Fang and C. Fronsdal, Phys. Rev. D 18, 3630 (1978). PRVDAQ 0556-2821 10.1103/PhysRevD.18.3630
42. C. Fronsdal, Phys. Rev. D 20, 848 (1979). PRVDAQ 0556-2821 10.1103/PhysRevD.20.848
43. I.L. Buchbinder, V.A. Krykhtin, and P.M. Lavrov, hep-th/0608005.
44. R. Illge and R. Schimming, Ann. Phys. (Leipzig) ANPYA2 0003-3804 8, 319 (1999). 10.1002/(SICI)1521-3889(199904)8:4<319::AID-ANDP319>3.0.CO;2-3
45. R. Illge and V. Wünsch, in Encyclopedia of Math. Physics, edited by, J.-P. Francoise,, (Elsevier, Oxford, 2006), pp. 391-398.
46. R.R. Metsaev, hep-th/0512342.
47. X. Bekaert, N. Boulanger, and S. Cnockaert, J. High Energy Phys. JHEPFG 1029-8479 01 (2006) 052. 10.1088/1126-6708/2006/01/052
48. N. Boulanger, S. Leclercq, and S. Cnockaert, Phys. Rev. D 73, 065019 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.065019
49. T. Damour and S. Deser, Classical Quantum Gravity CQGRDG 0264-9381 4, L95 (1987). 10.1088/0264-9381/4/4/005
50. E.S. Fradkin and M.A. Vasiliev, Nucl. Phys. NUPBBO 0550-3213 B291, 141 (1987); 10.1016/0550-3213(87)90469-X
51. E.S. Fradkin M.A. Vasiliev Ann. Phys. (N.Y.) APNYA6 0003-4916 177, 63 (1987); 10.1016/S0003-4916(87)80025-8
52. E.S. Fradkin M.A. Vasiliev Phys. Lett. B 189, 89 (1987). PYLBAJ 0370-2693 10.1016/0370-2693(87)91275-5
53. M.A. Vasiliev, Phys. Lett. B 243, 378 (1990); PYLBAJ 0370-2693 10.1016/0370-2693(90)91400-6
54. M.A. Vasiliev Phys. Lett. B 567, 139 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(03)00872-4
55. X. Bekaert, S. Cnockaert, C. Iazeolla, and M.A. Vasiliev, " Nonlinear Higher Spin Theories in Various Dimensions, " in Proceedings of the Solvay Workshop on Higher Spin Gauge Theories, Brussels, Belgium, 2004.
56. A. Lopez-Pinto, A. Tiemblo, and R. Tresguerres, Classical Quantum Gravity CQGRDG 0264-9381 12, 1503 (1995). 10.1088/0264-9381/12/6/016
57. A. Tiemblo and R. Tresguerres, Recent Res. Devel. Phys. 5, 1255 (2004), gr-qc/0510089.
58. D. Puetzfeld and X.l. Chen, Classical Quantum Gravity CQGRDG 0264-9381 21, 2703 (2004). 10.1088/0264-9381/21/11/013
59. D. Puetzfeld, M. Pohl, and Z.H. Zhu, Astrophys. J. 619, 657 (2005). ASJOAB 0004-637X 10.1086/426665
60. Yu.N. Obukhov, Phys. Rev. D 69, 024013 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.024013
61. P. Baekler and F.W. Hehl, Int. J. Mod. Phys. D 15, 635 (2006). IMPDEO 0218-2718 10.1142/S0218271806008589
62. P. Baekler and F.W. Hehl, " Metric-Affine Gauge Theory of Gravity III. Prolongation and New Classes of Exact Solutions " (unpublished).
63. A. Macias, E.W. Mielke, H.A. Morales-Tecotl, and R. Tresguerres, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 36, 5868 (1995). 10.1063/1.531225
64. M. Gürses and M. Halil, Phys. Lett. 68A, 182 (1978). PYLAAG 0375-9601 10.1016/0375-9601(78)90797-1
65. L.P.S. Singh and C.R. Hagen, Phys. Rev. D 9, 898 (1974). PRVDAQ 0556-2821 10.1103/PhysRevD.9.898
66. F.W. Hehl, J.D. McCrea, and E.W. Mielke, in Proceedings of International Hermann Weyl Congress on Exact Sciences and their Philosophical Foundations, Kiel, 1985, edited by, W. Deppert,, (P. Lang, Frankfurt a.M., Germany, 1988), pp. 241-310.