Nonlinear stability of cosmological solutions in massive gravity

Journal of Cosmology and Astroparticle Physics

Volumn 2013, Issue 5, 2013, Pages

  De Felice, Antonio ^a,b   Emir Gumrukcuoglu A ^c   Lin, Chunshan ^c   Mukohyamac, Shinji ^c  

^a NARESUAN UNIVERSITY   (Thailand)

^b THAILAND CENTER OF EXCELLENCE IN PHYSICS   (Thailand)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

Cosmological perturbation theory; Dark energy theory; Modified gravity

Indexed keywords

EID: 84880742906     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2013/05/035     Document Type: Article

References (49)

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.
2. H. Van Dam and M. Veltman, Massive and massless Yang-Mills and gravitational fields, Nucl. Phys. B 22 (1970) 397.
3. V. Zakharov, Linearized gravitation theory and the graviton mass, JETP Lett. 12 (1970) 312.
4. A. Vainshtein, To the problem of nonvanishing gravitation mass, Phys. Lett. B 39 (1972) 393.
5. D. Boulware and S. Deser, Can gravitation have a finite range?, Phys. Rev. D 6 (1972) 3368.
6. C. De Rham, G. Gabadadze and A. J. Tolley, Resummation of Massive Gravity, Phys. Rev. Lett. 106 (2011) 231101 [arXiv:1011.1232].
7. C. De Rham and G. Gabadadze, Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 (2010) 044020 [arXiv:1007.0443].
8. S. Hassan and R. A. Rosen, Resolving the Ghost Problem in non-Linear Massive Gravity, Phys. Rev. Lett. 108 (2012) 041101 [arXiv:1106.3344].
9. A. Gruzinov, All Fierz-Paulian massive gravity theories have ghosts or superluminal modes, arXiv:1106.3972.
10. C. De Rham, G. Gabadadze and A. J. Tolley, Comments on (super) luminality, arXiv:1107.0710.
11. S. Deser and A. Waldron, Acausality of Massive Gravity, Phys. Rev. Lett. 110, 111101 (2013) [arXiv:1212.5835].
12. A. Higuchi, Forbidden mass range for spin-2 field theory in de Sitter space-time, Nucl. Phys. B 282 (1987) 397.
13. G. D'Amico, C. De Rham, S. Dubovsky, G. Gabadadze, D. Pirtskhalava et al., Massive Cosmologies, Phys. Rev. D 84 (2011) 124046 [arXiv:1108.5231].
14. 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].
15. 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].
16. M. Fasiello and A. J. Tolley, Cosmological perturbations in Massive Gravity and the Higuchi bound, JCAP 11 (2012) 035 [arXiv:1206.3852].
17. D. Langlois and A. Naruko, Cosmological solutions of massive gravity on de Sitter, Class. Quant. Grav. 29 (2012) 202001 [arXiv:1206.6810].
18. 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].
19. S. Deser, M. Sandora and A. Waldron, Nonlinear Partially Massless from Massive Gravity?, arXiv:1301.5621.
20. C. De Rham, K. Hinterbichler, R. A. Rosen and A. J. Tolley, Evidence for and Obstructions to Non-Linear Partially Massless Gravity, arXiv:1302.0025.
21. A. E. Gumrukcuoglu, C. Lin and S. Mukohyama, Open FRW universes and self-acceleration from nonlinear massive gravity, JCAP 11 (2011) 030 [arXiv:1109.3845].
22. A. E. Gumrukcuoglu, S. Kuroyanagi, C. Lin, S. Mukohyama and N. Tanahashi, Gravitational wave signal from massive gravity, Class. Quant. Grav. 29 (2012) 235026 [arXiv:1208.5975].
23. A. E. Gumrukcuoglu, C. Lin and S. Mukohyama, Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity, Phys. Lett. B 717 (2012) 295 [arXiv:1206.2723].
24. K. Koyama, G. Niz and G. Tasinato, The Self-Accelerating Universe with Vectors in Massive Gravity, JHEP 12 (2011) 065 [arXiv:1110.2618].
25. G. Tasinato, K. Koyama and G. Niz, Vector instabilities and self-acceleration in the decoupling limit of massive gravity, Phys. Rev. D 87, 064029 (2013) [arXiv:1210.3627].
26. A. De Felice, A. E. Gumrukcuoglu and S. Mukohyama, Massive gravity: nonlinear instability of the homogeneous and isotropic universe, Phys. Rev. Lett. 109 (2012) 171101 [arXiv:1206.2080].
27. N. Arkani-Hamed, H.-C. Cheng, M. A. Luty and S. Mukohyama, Ghost condensation and a consistent infrared modification of gravity, JHEP 05 (2004) 074 [hep-th/0312099].
28. N. Arkani-Hamed, H.-C. Cheng, M. A. Luty, S. Mukohyama and T. Wiseman, Dynamics of gravity in a Higgs phase, JHEP 01 (2007) 036 [hep-ph/0507120].
29. K.-i. Maeda and M. S. Volkov, Anisotropic universes in the ghost-free bigravity, arXiv:1302.6198.
30. A. Gumrukcuoglu, C. R. Contaldi and M. Peloso, Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB, JCAP 11 (2007) 005 [arXiv:0707.4179].
31. B. Himmetoglu, C. R. Contaldi and M. Peloso, Instability of the ACW model and problems with massive vectors during inflation, Phys. Rev. D 79 (2009) 063517 [arXiv:0812.1231].
32. R. M. Wald, Asymptotic behavior of homogeneous cosmological models in the presence of a positive cosmological constant, Phys. Rev. D 28 (1983) 2118.
33. Y. Sakakihara, J. Soda and T. Takahashi, On Cosmic No-hair in Bimetric Gravity and the Higuchi Bound, PTEP 2013 (2013) 033-E02 [arXiv:1211.5976].
34. G. D'Amico, Cosmology and perturbations in massive gravity, Phys. Rev. D 86 (2012) 124019 [arXiv:1206.3617].
35. K. Koyama, G. Niz and G. Tasinato, Analytic solutions in non-linear massive gravity, Phys. Rev. Lett. 107 (2011) 131101 [arXiv:1103.4708].
36. K. Koyama, G. Niz and G. Tasinato, Strong interactions and exact solutions in non-linear massive gravity, Phys. Rev. D 84 (2011) 064033 [arXiv:1104.2143].
37. P. Gratia, W. Hu and M. Wyman, Self-accelerating massive gravity: exact solutions for any isotropic matter distribution, Phys. Rev. D 86 (2012) 061504 [arXiv:1205.4241].
38. T. Kobayashi, M. Siino, M. Yamaguchi and D. Yoshida, New Cosmological Solutions in Massive Gravity, Phys. Rev. D 86 (2012) 061505 [arXiv:1205.4938].
39. H. Motohashi and T. Suyama, Self-accelerating Solutions in Massive Gravity on Isotropic Reference Metric, Phys. Rev. D 86 (2012) 081502 [arXiv:1208.3019].
40. M. S. Volkov, Exact self-accelerating cosmologies in the ghost-free bigravity and massive gravity, Phys. Rev. D 86 (2012) 061502 [arXiv:1205.5713].
41. M. S. Volkov, Exact self-accelerating cosmologies in the ghost-free massive gravity - the detailed derivation, Phys. Rev. D 86 (2012) 104022 [arXiv:1207.3723].
42. M. Wyman, W. Hu and P. Gratia, Self-accelerating Massive Gravity: Time for Field Fluctuations, Phys. Rev. D 87 (2013) 084046 [arXiv:1211.4576].
43. G. D'Amico, G. Gabadadze, L. Hui and D. Pirtskhalava, Quasi-Dilaton: Theory and Cosmology, arXiv:1206.4253.
44. Q.-G. Huang, Y.-S. Piao and S.-Y. Zhou, Mass-Varying Massive Gravity, Phys. Rev. D 86 (2012) 124014 [arXiv:1206.5678].
45. D.-J. Wu, Y.-S. Piao and Y.-F. Cai, Dynamical analysis of the cosmology of mass-varying massive gravity, Phys. Lett. B 721 (2013) 7 [arXiv:1301.4326].
46. K. Hinterbichler, J. Stokes and M. Trodden, Cosmologies of extended massive gravity, arXiv:1301.4993.
47. G. Leon, J. Saavedra and E. N. Saridakis, Cosmological behavior in extended nonlinear massive gravity, arXiv:1301.7419.
48. A. E. Gumrukcuoglu, K. Hinterbichler, C. Lin, S. Mukohyama and M. Trodden, Cosmological Perturbations in Extended Massive Gravity, arXiv:1304.0449.
49. H. P. Nilles, M. Peloso and L. Sorbo, Coupled fields in external background with application to nonthermal production of gravitinos, JHEP 04 (2001) 004 [hep-th/0103202].