On consistent theories of massive spin-2 fields coupled to gravity

Journal of High Energy Physics

Volumn 2013, Issue 5, 2013, Pages

  Hassan, S F ^a   Schmidt May, Angnis ^a   Von Strauss, Mikael ^a  

^a STOCKHOLM UNIVERSITY   (Sweden)

Author keywords

Classical Theories of Gravity; Cosmology of Theories beyond the SM

Indexed keywords

EID: 84878855169     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP05(2013)086     Document Type: Article

References (55)

1. N. Rosen, General relativity and flat space. II, Phys. Rev. 57 (1940) 150 [ INSPIRE ].
2. C. Isham, A. Salam and J. Strathdee, F-dominance of gravity, Phys. Rev. D 3 (1971) 867 [ INSPIRE ].
3. C. Aragone and S. Deser, Constraints on gravitationally coupled tensor fields, Nuovo Cim. A 3 (1971) 709 [ INSPIRE ].
4. N. Rosen, Bimetric theory of gravitation, in Erice 1975, Proceedings, "Topics in theoretical and experimental gravitation physics", New York U.S.A. (1977), pg. 273 [ INSPIRE ].
5. A.H. Chamseddine, A. Salam and J. Strathdee, Strong gravity and supersymmetry, Nucl. Phys. B 136 (1978) 248 [ INSPIRE ].
6. C. Aragone and S. Deser, Consistency problems of spin-2 gravity coupling, Nuovo Cim. B 57 (1980) 33 [ INSPIRE ].
7. I. Buchbinder, V. Krykhtin and V. Pershin, On consistent equations for massive spin two field coupled to gravity in string theory, Phys. Lett. B 466 (1999) 216 [ hep-th/9908028 ] [ INSPIRE ].
8. I. Buchbinder, D. Gitman, V. Krykhtin and V. Pershin, Equations of motion for massive spin-2 field coupled to gravity, Nucl. Phys. B 584 (2000) 615 [ hep-th/9910188 ] [ INSPIRE ].
9. N. Boulanger, T. Damour, L. Gualtieri and M. Henneaux, Inconsistency of interacting, multigraviton theories, Nucl. Phys. B 597 (2001) 127 [ hep-th/0007220 ] [ INSPIRE ]. (Pubitemid 33378266)
10. T. Damour and I.I. Kogan, Effective Lagrangians and universality classes of nonlinear bigravity, Phys. Rev. D 66 (2002) 104024 [ hep-th/0206042 ] [ INSPIRE ].
11. T. Damour, I.I. Kogan and A. Papazoglou, Nonlinear bigravity and cosmic acceleration, Phys. Rev. D 66 (2002) 104025 [ hep-th/0206044 ] [ INSPIRE ].
12. N. Arkani-Hamed, H. Georgi and M.D. Schwartz, Effective field theory for massive gravitons and gravity in theory space, Annals Phys. 305 (2003) 96 [ hep-th/0210184 ] [ INSPIRE ].
13. D. Blas, C. Deffayet and J. Garriga, Bigravity and Lorentz-violating massive gravity, Phys. Rev. D 76 (2007) 104036 [ arXiv:0705.1982 ] [ INSPIRE ].
14. M. Bañados, A. Gomberoff, D.C. Rodrigues and C. Skordis, A note on bigravity and dark matter, Phys. Rev. D 79 (2009) 063515 [ arXiv:0811.1270 ] [ INSPIRE ].
15. M. Milgrom, Bimetric MOND gravity, Phys. Rev. D 80 (2009) 123536 [ arXiv:0912.0790 ] [ INSPIRE ].
16. D. Boulware and S. Deser, Can gravitation have a finite range?, Phys. Rev. D 6 (1972) 3368 [ INSPIRE ].
17. S. Hassan and R.A. Rosen, Bimetric gravity from ghost-free massive gravity, JHEP 02 (2012) 126 [ arXiv:1109.3515 ] [ INSPIRE ].
18. S. Hassan and R.A. Rosen, Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity, JHEP 04 (2012) 123 [ arXiv:1111.2070 ] [ INSPIRE ].
19. S. Hassan and R.A. Rosen, On non-linear actions for massive gravity, JHEP 07 (2011) 009 [ arXiv:1103.6055 ] [ INSPIRE ].
20. S. Hassan and R.A. Rosen, Resolving the ghost problem in non-linear massive gravity, Phys. Rev. Lett. 108 (2012) 041101 [ arXiv:1106.3344 ] [ INSPIRE ].
21. S. Hassan, R.A. Rosen and A. Schmidt-May, Ghost-free massive gravity with a general reference metric, JHEP 02 (2012) 026 [ arXiv:1109.3230 ] [ INSPIRE ].
22. C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli action, Phys. Rev. D 82 (2010) 044020 [ arXiv:1007.0443 ] [ INSPIRE ].
23. C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of massive gravity, Phys. Rev. Lett. 106 (2011) 231101 [ arXiv:1011.1232 ] [ INSPIRE ].
24. K. Hinterbichler and R.A. Rosen, Interacting spin-2 fields, JHEP 07 (2012) 047 [ arXiv:1203.5783 ] [ INSPIRE ].
25. S. Hassan, A. Schmidt-May and M. von Strauss, Metric formulation of ghost-free multivielbein theory, arXiv:1204.5202 [ INSPIRE ].
26. M.S. Volkov, Cosmological solutions with massive gravitons in the bigravity theory, JHEP 01 (2012) 035 [ arXiv:1110.6153 ] [ INSPIRE ].
27. M.S. Volkov, Hairy black holes in the ghost-free bigravity theory, Phys. Rev. D 85 (2012) 124043 [ arXiv:1202.6682 ] [ INSPIRE ].
28. M. von Strauss, A. Schmidt-May, J. Enander, E. Mortsell and S. Hassan, Cosmological solutions in bimetric gravity and their observational tests, JCAP 03 (2012) 042 [ arXiv:1111.1655 ] [ INSPIRE ].
29. D. Comelli, M. Crisostomi, F. Nesti and L. Pilo, Spherically symmetric solutions in ghost-free massive gravity, Phys. Rev. D 85 (2012) 024044 [ arXiv:1110.4967 ] [ INSPIRE ].
30. D. Comelli, M. Crisostomi, F. Nesti and L. Pilo, FRW cosmology in ghost free massive gravity, JHEP 03 (2012) 067 [Erratum ibid. 06 (2012) 020] [ arXiv:1111.1983 ] [ INSPIRE ].
31. V. Baccetti, P. Martin-Moruno and M. Visser, Gordon and Kerr-Schild ansätze in massive and bimetric gravity, JHEP 08 (2012) 108 [ arXiv:1206.4720 ] [ INSPIRE ].
32. C. Deffayet and T. Jacobson, On horizon structure of bimetric spacetimes, Class. Quant. Grav. 29 (2012) 065009 [ arXiv:1107.4978 ] [ INSPIRE ].
33. M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field, Proc. Roy. Soc. Lond. A 173 (1939) 211 [ INSPIRE ].
34. W. Pauli and M. Fierz, On relativistic field equations of particles with arbitrary spin in an electromagnetic field, Helv. Phys. Acta 12 (1939) 297 [ INSPIRE ].
35. P. Creminelli, A. Nicolis, M. Papucci and E. Trincherini, Ghosts in massive gravity, JHEP 09 (2005) 003 [ hep-th/0505147 ] [ INSPIRE ]. (Pubitemid 41407880)
36. R.L. Arnowitt, S. Deser and C.W. Misner, The dynamics of general relativity, Gen. Rel. Grav. 40 (2008) 1997 [ gr-qc/0405109 ] [ INSPIRE ].
37. M. Mirbabayi, A proof of ghost freedom in de Rham-Gabadadze-Tolley massive gravity, Phys. Rev. D 86 (2012) 084006 [ arXiv:1112.1435 ] [ INSPIRE ].
38. C. de Rham and S. Renaux-Petel, Massive gravity on de Sitter and unique candidate for partially massless gravity, JCAP 01 (2013) 035 [ arXiv:1206.3482 ] [ INSPIRE ].
39. J. Kluson, Note about Hamiltonian structure of non-linear massive gravity, JHEP 01 (2012) 013 [ arXiv:1109.3052 ] [ INSPIRE ].
40. A.H. Chamseddine and V. Mukhanov, Massive gravity simplified: a quadratic action, JHEP 08 (2011) 091 [ arXiv:1106.5868 ] [ INSPIRE ].
41. S. Hassan, A. Schmidt-May and M. von Strauss, Proof of consistency of nonlinear massive gravity in the Stückelberg formulation, Phys. Lett. B 715 (2012) 335 [ arXiv:1203.5283 ] [ INSPIRE ].
42. J. Kluson, Non-linear massive gravity with additional primary constraint and absence of ghosts, Phys. Rev. D 86 (2012) 044024 [ arXiv:1204.2957 ] [ INSPIRE ].
43. V. Baccetti, P. Martin-Moruno and M. Visser, Massive gravity from bimetric gravity, Class. Quant. Grav. 30 (2013) 015004 [ arXiv:1205.2158 ] [ INSPIRE ].
44. V. Baccetti, P. Martin-Moruno and M. Visser, Null energy condition violations in bimetric gravity, JHEP 08 (2012) 148 [ arXiv:1206.3814 ] [ INSPIRE ].
45. N. Khosravi, N. Rahmanpour, H.R. Sepangi and S. Shahidi, Multi-metric gravity via massive gravity, Phys. Rev. D 85 (2012) 024049 [ arXiv:1111.5346 ] [ INSPIRE ].
46. N. Khosravi, H.R. Sepangi and S. Shahidi, Massive cosmological scalar perturbations, Phys. Rev. D 86 (2012) 043517 [ arXiv:1202.2767 ] [ INSPIRE ].
47. E.N. Saridakis, Phantom crossing and quintessence limit in extended nonlinear massive gravity, Class. Quant. Grav. 30 (2013) 075003 [ arXiv:1207.1800 ] [ INSPIRE ].
48. Y.-F. Cai, C. Gao and E.N. Saridakis, Bounce and cyclic cosmology in extended nonlinear massive gravity, JCAP 10 (2012) 048 [ arXiv:1207.3786 ] [ INSPIRE ].
49. A.E. Gumrukcuoglu, C. Lin and S. Mukohyama, Cosmological perturbations of self-accelerating universe in nonlinear massive gravity, JCAP 03 (2012) 006 [ arXiv:1111.4107 ] [ INSPIRE ].
50. D. Comelli, M. Crisostomi and L. Pilo, Perturbations in massive gravity cosmology, JHEP 06 (2012) 085 [ arXiv:1202.1986 ] [ INSPIRE ].
51. M. Berg, I. Buchberger, J. Enander, E. Mortsell and S. Sjors, Growth histories in bimetric massive gravity, JCAP 12 (2012) 021 [ arXiv:1206.3496 ] [ INSPIRE ].
52. M.F. Paulos and A.J. Tolley, Massive gravity theories and limits of ghost-free bigravity models, JHEP 09 (2012) 002 [ arXiv:1203.4268 ] [ INSPIRE ].
53. T. Ortin, Gravity and strings, Cambridge University Press, Cambridge U.K. (2004).
54. B. Grinstein, C.W. Murphy, D. Pirtskhalava and P. Uttayarat, Massive spin-2 states as the origin of the top quark forward-backward asymmetry, JHEP 08 (2012) 073 [ arXiv:1203.2183 ] [ INSPIRE ].
55. R.M. Wald, General relativity, Chicago University Press, Chicago U.S.A. (1984).