Nonlinear massive spin-2 field generated by higher derivative gravity

Annals of Physics

Volumn 306, Issue 1, 2003, Pages 1-35

  Magnano, Guido ^a   Sokołowski, Leszek M ^b  

^a UNIVERSITY OF TURIN   (Italy)

^b JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038349647     PISSN: 00034916     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0003-4916(03)00018-6     Document Type: Article

References (75)

1. G. Tauber, Gen. Rel. Grav. 12 (1980) 1043.
2. M. Novello, R.P. Neves, Spin-2 field theory in curved spacetime, preprint gr-qc/0204058, 2002.
3. S. Deser, A. Waldron, Nucl. Phys. B 631 (2002) 369 [hep-th/0 112182].
4. I. Bengtsson, J. Math. Phys. 36 (1995) 5805 [gr-qc/9411057].
5. S. Deser, A. Waldron, Phys. Lett. B 508 (2001) 347 [hep-th/0103255].
6. A.A. Ruzmaikin, Astrofizika 13 (1977) 345;
7. K. Tomita, T. Azuma, H. Nariai, Prog. Theor. Phys. 60 (1978) 403;
8. S. Deser, Phys. Scripta T 15 (1987) 138;
9. H.T. Cho, Phys. Rev. D 43 (1991) 1859;
10. A. Berkin, Phys. Rev. D 44 (1991) 1020;
11. J. Tolksdorf, Int. J. Mod. Phys. A 7 (1992) 3567;
12. M. Kenmoku, Y. Okamoto, K. Shigemoto, Phys. Rev. D 48 (1993) 578;
13. S. Cotsakis, J. Demaret, Y. De Rop, L. Querella, Phys. Rev. D 48 (1993) 4595;
14. I.L. Shapiro, A.G. Jacksenaev, Phys. Lett. B 324 (1994) 286;
15. E. Elizalde, S. Odintsov, Phys. Lett. B 334 (1994) 33;
16. E. Elizalde, S. Odintsov, A. Romeo, Phys. Rev. D 51 (1995) 1680;
17. E. Elizalde, S. Odintsov, A. Romeo, Nucl. Phys. B 462 (1996) 315;
18. M. Campanelli, C.O. Lousto, J. Audretsch, Phys. Rev. D 49 (1994) 5188;
19. R. Maartens, D. Taylor, Gen. Rel. Grav. 26 (1994) 599;
20. R.C. Myers, Black holes in higher curvature gravity, in: C.V. Vishveshwara, B.R. Iyer, B. Bhawal (Eds.), Black Holes, Gravitational Radiation and the Universe: Essays in Honor of C.V. Vishveshwara', 1998 [gr-qc/9811042];
21. S. Deser, B. Tekin, Phys. Rev. Lett. 89 (2002) 101101 [hep-th/0205318];
22. S. De Filippo, F. Maimone, Phys. Rev. D 66 (2002) 044018 [gr-qc/0207053].
23. J. Audretsch, A. Economou, C.O. Lousto, Phys. Rev. D 47 (1993) 3303 [gr-qc/9301024].
24. M. Madsen, J.D. Barrow, Nucl. Phys. B 323 (1989) 242;
25. R.H. Brandenberger, V.F. Mukhanov, A. Sornborger, Phys. Rev. D 48 (1993) 1629;
26. A. Dobado, A. Lopez, Phys. Lett. B 316 (1993) 250;
27. E. Brüning, D. Coule, C. Xu, Gen. Rel. Grav. 26 (1994) 1197.
28. G. Magnano, M. Ferraris, M. Francaviglia, Gen. Rel. Grav. 19 (1987) 465.
29. A. Jakubiec, J. Kijowski, Phys. Rev. D 37 (1988) 1406;
30. A. Jakubiec, J. Kijowski, Gen. Rel. Grav. 19 (1987) 719.
31. G. Magnano, M. Ferraris, M. Francaviglia, Class. Quantum Grav. 7 (1990) 557.
32. J.C. Alonso, F. Barbero, J. Julve, A. Tiemblo, Class. Quantum Grav. 11 (1994) 865.
33. A. Hindawi, B.A. Ovrut, D. Waldram, Phys. Rev. D 53 (1996) 5583 [hep-th/9509142].
34. E.T. Tomboulis, Phys. Lett. B 389 (1996) 225 [hep-th/9601082].
35. G. Magnano, L.M. Sokołowski, Phys. Rev. D 50 (1994) 5039 [gr-qc/9312008].
36. K.S. Stelle, Gen. Rel. Grav. 9 (1978) 353.
37. S.W. Hawking, T. Hertog, Phys. Rev. D 65 (2002) 103515 [hep-th/0107088].
38. C. Aragone, S. Deser, Nuovo Cim. 3A (1971) 709.
39. A. Hindawi, B.A. Ovrut, D. Waldram, Phys. Rev. D 53 (1996) 5597 [hep-th/9509147].
40. R.M. Wald, Phys. Rev. D 33 (1986) 3613.
41. C. Cutler, R.M. Wald, Class. Quantum Grav. 4 (1987) 1267.
42. H. von Helmholtz, Wissenschaftliche Abhandlungen, Dritter Band, A. Barth, Leipzig, 1895;
43. H. Poincaré, Méthodes nouvelles de la Mécanique Céleste, vol. III, Paris, 1899.
44. S.W. Hawking, G.F.R. Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, 1973.
45. R. Penrose, Proc. Roy. Soc. London A 284 (1965) 159;
46. C.G. Callan Jr., S. Coleman, R. Jackiw, Ann. Phys. N.Y. 59 (1970) 42;
47. L. Parker, Phys. Rev. D 7 (1973) 976.
48. J.D. Bekenstein, Ann. Phys. (N.Y.) 82 (1974) 535.
49. K.S. Stelle, Phys. Rev. D 16 (1977) 953.
50. P. Teyssandier, Class. Quatum Grav. 6 (1989) 219.
51. E.S. Fradkin, A.A. Tseytlin, Nucl. Phys. B 201 (1982) 469.
52. N. Barth, S.M. Christensen, Phys. Rev. D 28 (1983) 1876.
53. D.G. Boulware, S. Deser, Phys. Rev. D 6 (1972) 3368.
54. C. Aragone, S. Deser, Nuovo Cim. 57B (1980) 33.
55. S.M. Christensen, M.J. Duff, Nucl. Phys. B 154 (1979) 301.
56. A. Cucchieri, M. Porrati, S. Deser, Phys. Rev. D 51 (1995) 4543 [hep-th/9408073].
57. J. Koga, K. Maeda, Phys. Rev. D 58 (1998) 064020 [gr-qc/9803086].
58. T. Jacobson, G. Kang, R.C. Myers, Phys. Rev. D 52 (1995) 3518 [gr-qc/9503020].
59. L.M. Sokołowski, Z. Golda, M. Litterio, L. Amendola, Int. J. Mod. Phys. A 6 (1991) 4517.
60. P.W. Higgs, Nuovo Cim. 11 (1959) 816;
61. G. Bicknell, J. Phys. A 7 (1974) 1061;
62. B. Whitt, Phys. Lett. 145B (1984) 176.
63. G. Wentzel, Einführung in die Quantentheorie der Wellenfelder, F. Deuticke, Wien, 1943.
64. G. Magnano, L.M. Sokołowski, Gen. Rel. Grav. 30 (1998) 1281 [gr-qc/9806050].
65. R. Hakim, An Introduction to Relativistic Gravitation, Cambridge University Press, Cambridge, 1999;
66. H. Ohanian, R. Ruffini, Gravitation and Spacetime, Norton, New York, 1994.
67. G. Magnano, L.M. Sokołowski, Class. Quantum Grav. 19 (2002) 223 [gr-qc/0103072].
68. A. Bartoli, J. Julve, E.J. Sanchez, Class. Quantum Grav. 16 (1999) 2283 [gr-qc/9811041].
69. R.M. Wald, Class. Quantum Grav. 4 (1987) 1279.
70. J. Ehlers, W. Kundt, Exact solutions of the gravitational field equations, in: L. Witten (Ed.), Gravitation: An Introduction to Current Research, Wiley, New York, 1962 (Chapter 2).
71. D. Kramer, H. Stephani, E. Herlt, M. MacCallum, Exact Solutions of Einstein's Field Equations, Cambridge University Press, Cambridge, 1980 (Chapter 21).
72. G.W. Gibbons, P.J. Ruback, Phys. Lett. B 171 (1986) 390.
73. R. Güven, Phys. Lett. B 191 (1987) 275.
74. D.G. Boulware, Quantization of higher derivative theories of gravity, in: S.M. Christensen (Ed.), Quantum Theory of Gravity, Essays in Honor of the 60th Birthday of Bryce S. DeWitt, Adam Hilger, Bristol, 1984.
75. D.G. Boulware, S. Deser, K.S. Stelle, Phys. Lett. 168B (1986) 336.