Complete decoupling limit of ghost-free massive gravity

Journal of High Energy Physics

Volumn 2013, Issue 11, 2013, Pages

  Ondo, Nicholas A ^a   Tolley, Andrew J ^a  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

Author keywords

Classical theories of gravity; Cosmology of theories beyond the sm; Space Time symmetries

Indexed keywords

EID: 84891788007     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2013)059     Document Type: Article

References (57)

1. 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].
2. H. van Dam and M. Veltman, Massive and massless Yang-Mills and gravitational fields, Nucl. Phys. B 22 (1970) 397 [INSPIRE].
3. V. Zakharov, Linearized gravitation theory and the graviton mass, JETP Lett. 12 (1970) 312 [INSPIRE].
4. D. Boulware and S. Deser, Can gravitation have a finite range?, Phys. Rev. D 6 (1972) 3368 [INSPIRE].
5. A. Vainshtein, To the problem of nonvanishing gravitation mass, Phys. Lett. B 39 (1972) 393 [INSPIRE].
6. C. de Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 (2010) 044020 [arXiv:1007.0443] [INSPIRE].
7. C. de Rham, G. Gabadadze and A.J. Tolley, Resummation of massive gravity, Phys. Rev. Lett. 106 (2011) 231101 [arXiv:1011.1232] [INSPIRE].
8. C. de Rham, G. Gabadadze and A.J. Tolley, Ghost free massive gravity in the Stückelberg language, Phys. Lett. B 711 (2012) 190 [arXiv:1107.3820] [INSPIRE].
9. C. de Rham, G. Gabadadze and A.J. Tolley, Helicity decomposition of ghost-free massive gravity, JHEP 11 (2011) 093 [arXiv:1108.4521] [INSPIRE].
10. S.F. Hassan and R.A. Rosen, Resolving the ghost problem in non-linear massive gravity, Phys. Rev. Lett. 108 (2012) 041101 [arXiv:1106.3344] [INSPIRE].
11. S.F. 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].
12. S.F. 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].
13. M. Mirbabayi, A proof of ghost freedom in de Rham-Gabadadze-Tolley massive gravity, Phys. Rev. D 86 (2012) 084006 [arXiv:1112.1435] [INSPIRE].
14. A. Golovnev, On the Hamiltonian analysis of non-linear massive gravity, Phys. Lett. B 707 (2012) 404 [arXiv:1112.2134] [INSPIRE].
15. S.F. 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].
16. C. Deffayet, J. Mourad and G. Zahariade, Covariant constraints in ghost free massive gravity, JCAP 01 (2013) 032 [arXiv:1207.6338] [INSPIRE].
17. K. Hinterbichler and R.A. Rosen, Interacting spin-2 fields, JHEP 07 (2012) 047 [arXiv:1203.5783] [INSPIRE].
18. A.H. Chamseddine and V. Mukhanov, Massive gravity simplified: a quadratic action, JHEP 08 (2011) 091 [arXiv:1106.5868] [INSPIRE].
19. A.H. Chamseddine, A. Salam and J. Strathdee, Strong gravity and supersymmetry, Nucl. Phys. B 136 (1978) 248 [INSPIRE].
20. A.H. Chamseddine, Spontaneous symmetry breaking for massive spin two interacting with gravity, Phys. Lett. B 557 (2003) 247 [hep-th/0301014] [INSPIRE].
21. S. Groot Nibbelink, M. Peloso and M. Sexton, Nonlinear properties of vielbein massive gravity, Eur. Phys. J. C 51 (2007) 741 [hep-th/0610169] [INSPIRE].
22. C. de Rham, G. Gabadadze, L. Heisenberg and D. Pirtskhalava, Non-renormalization and naturalness in a class of scalar-tensor theories, Phys. Rev. D 87 (2013) 085017 [arXiv:1212.4128] [INSPIRE].
23. G. Dvali, G. Gabadadze and M. Porrati, 4D gravity on a brane in 5D Minkowski space, Phys. Lett. B 485 (2000) 208 [hep-th/0005016] [INSPIRE].
24. A. Nicolis and R. Rattazzi, Classical and quantum consistency of the DGP model, JHEP 06 (2004) 059 [hep-th/0404159] [INSPIRE].
25. A. Nicolis, R. Rattazzi and E. Trincherini, The galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [arXiv:0811.2197] [INSPIRE].
26. C. de Rham, Galileons in the sky, Compt. Rend. Phys. 13 (2012) 666 [arXiv:1204.5492] [INSPIRE].
27. E. Babichev and C. Deffayet, An introduction to the Vainshtein mechanism, Class. Quant. Grav. 30 (2013) 184001 [arXiv:1304.7240] [INSPIRE].
28. C. de Rham, A.J. Tolley and D.H. Wesley, Vainshtein mechanism in binary pulsars, Phys. Rev. D 87 (2013), no. 4 044025 [arXiv:1208.0580] [INSPIRE].
29. C. de Rham, A. Matas and A.J. Tolley, Galileon radiation from binary systems, Phys. Rev. D 87 (2013) 064024 [arXiv:1212.5212] [INSPIRE].
30. A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, Causality, analyticity and an IR obstruction to UV completion, JHEP 10 (2006) 014 [hep-th/0602178] [INSPIRE].
31. S. Deser and A. Waldron, Acausality of massive gravity, Phys. Rev. Lett. 110 (2013), no. 11 111101 [arXiv:1212.5835] [INSPIRE].
32. K. Izumi and Y.C. Ong, An analysis of characteristics in nonlinear massive gravity, Class. Quant. Grav. 30 (2013) 184008 [arXiv:1304.0211] [INSPIRE].
33. S. Deser, K. Izumi, Y. Ong and A. Waldron, Massive gravity acausality redux, Phys. Lett. B 726 (2013) 544 [arXiv:1306.5457] [INSPIRE].
34. L. Berezhiani, G. Chkareuli and G. Gabadadze, Restricted galileons, arXiv:1302.0549 [INSPIRE].
35. L. Berezhiani, G. Chkareuli, C. de Rham, G. Gabadadze and A. Tolley, Mixed galileons and spherically symmetric solutions, Class. Quant. Grav. 30 (2013) 184003 [arXiv:1305.0271] [INSPIRE].
36. C. Burrage, C. de Rham, L. Heisenberg and A.J. Tolley, Chronology protection in galileon models and massive gravity, JCAP 07 (2012) 004 [arXiv:1111.5549] [INSPIRE].
37. K. Koyama, G. Niz and G. Tasinato, The self-accelerating universe with vectors in massive gravity, JHEP 12 (2011) 065 [arXiv:1110.2618] [INSPIRE].
38. G. Tasinato, K. Koyama and G. Niz, Vector instabilities and self-acceleration in the decoupling limit of massive gravity, Phys. Rev. D 87 (2013) 064029 [arXiv:1210.3627] [INSPIRE].
39. S. Deser and R.I. Nepomechie, Gauge invariance versus masslessness in de Sitter space, Annals Phys. 154 (1984) 396 [INSPIRE].
40. S. Deser and A. Waldron, Gauge invariances and phases of massive higher spins in (A)dS, Phys. Rev. Lett. 87 (2001) 031601 [hep-th/0102166] [INSPIRE].
41. S. Deser and A. Waldron, Partial masslessness of higher spins in (A)dS, Nucl. Phys. B 607 (2001) 577 [hep-th/0103198] [INSPIRE].
42. S. Deser and A. Waldron, Null propagation of partially massless higher spins in (A)dS and cosmological constant speculations, Phys. Lett. B 513 (2001) 137 [hep-th/0105181] [INSPIRE].
43. S. Deser and A. Waldron, Conformal invariance of partially massless higher spins, Phys. Lett. B 603 (2004) 30 [hep-th/0408155] [INSPIRE].
44. Y. Zinoviev, On massive high spin particles in AdS, hep-th/0108192 [INSPIRE].
45. Y. Zinoviev, On massive spin 2 interactions, Nucl. Phys. B 770 (2007) 83 [hep-th/0609170] [INSPIRE].
46. S. Deser and A. Waldron, Partially massless spin 2 electrodynamics, Phys. Rev. D 74 (2006) 084036 [hep-th/0609113] [INSPIRE].
47. E. Joung, L. Lopez and M. Taronna, Generating functions of (partially-)massless higher-spin cubic interactions, JHEP 01 (2013) 168 [arXiv:1211.5912] [INSPIRE].
48. 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].
49. S. Deser and A. Waldron, PM = EM: partially massless duality invariance, Phys. Rev. D 87 (2013) 087702 [arXiv:1301.2238] [INSPIRE].
50. S. Deser, M. Sandora and A. Waldron, Nonlinear partially massless from massive gravity?, Phys. Rev. D 87 (2013) 101501 [arXiv:1301.5621] [INSPIRE].
51. S. Hassan, A. Schmidt-May and M. von Strauss, On partially massless bimetric gravity, arXiv:1208.1797 [INSPIRE].
52. C. de Rham, K. Hinterbichler, R.A. Rosen and A.J. Tolley, Evidence for and obstructions to non-linear partially massless gravity, Phys. Rev. D 88 (2013) 024003 [arXiv:1302.0025] [INSPIRE].
53. G. Gabadadze, K. Hinterbichler, D. Pirtskhalava and Y. Shang, On the potential for general relativity and its geometry, Phys. Rev. D 88 (2013) 084003 [arXiv:1307.2245] [INSPIRE].
54. S.F. Hassan and R.A. Rosen, On non-linear actions for massive gravity, JHEP 07 (2011) 009 [arXiv:1103.6055] [INSPIRE].
55. J. Hoek, On the Deser-van Nieuwenhuizen algebraic vierbein gauge, Lett. Math. Phys. 6 (1982) 49 [INSPIRE].
56. C. Deffayet, J. Mourad and G. Zahariade, A note on 'symmetric' vielbeins in bimetric, massive, perturbative and non perturbative gravities, JHEP 03 (2013) 086 [arXiv:1208.4493] [INSPIRE].
57. P. Gratia, W. Hu and M. Wyman, Self-accelerating massive gravity: how zweibeins walk through determinant singularities, Class. Quant. Grav. 30 (2013) 184007 [arXiv:1305.2916] [INSPIRE].