Stability of Horndeski vector-tensor interactions

Journal of Cosmology and Astroparticle Physics

Volumn 2013, Issue 10, 2013, Pages

  Beltrán Jiménez, Jose ^a   Durrer, Ruth ^b   Heisenberg, Lavinia ^b,c   Thorsrud, Mikjel ^d  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c CASE WESTERN RESERVE UNIVERSITY   (United States)

^d UNIVERSITY OF OSLO   (Norway)

Author keywords

cosmology of theories beyond the SM; modified gravity

Indexed keywords

EID: 84887676276     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2013/10/064     Document Type: Article

References (81)

1. T.P. Sotiriou and V. Faraoni, 2010 f(R) Theories Of Gravity, Rev. Mod. Phys. 82 451 [0805.1726]
2. G.W. Horndeski, 1974 Second-order scalar-tensor field equations in a four-dimensional space, Int. J. Theor. Phys. 10 363
3. A. Nicolis, R. Rattazzi and E. Trincherini, 2009 The Galileon as a local modification of gravity, Phys. Rev. D 79 064036 [0811.2197]
4. C. de Rham and G. Gabadadze, 2010 Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 044020 [1007.0443]
5. M.V. Ostrogradski, 1850 Les equations differentielles Mém. Acad. Imp. Sci. St.-Pétersbourg Sér. 6 4 385
6. C. de Rham and A.J. Tolley, 2010 DBI and the Galileon reunited J. Cosmol. Astropart. Phys. 2010 05 015 [1003.5917]
7. K. Van Acoleyen and J. Van Doorsselaere, 2011 Galileons from Lovelock actions, Phys. Rev. D 83 084025 [1102.0487]
8. C. Deffayet, G. Esposito-Farese and A. Vikman, 2009 Covariant Galileon, Phys. Rev. D 79 084003 [0901.1314]
9. C. Deffayet, S. Deser and G. Esposito-Farese, 2009 Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress-tensors, Phys. Rev. D 80 064015 [0906.1967]
10. N. Chow and J. Khoury, 2009 Galileon Cosmology, Phys. Rev. D 80 024037 [0905.1325]
11. F.P. Silva and K. Koyama, 2009 Self-Accelerating Universe in Galileon Cosmology, Phys. Rev. D 80 121301 [0909.4538]
12. R. Gannouji and M. Sami, 2010 Galileon gravity and its relevance to late time cosmic acceleration, Phys. Rev. D 82 024011 [1004.2808]
13. A. De Felice and S. Tsujikawa, 2010 Cosmology of a covariant Galileon field, Phys. Rev. Lett. 105 111301 [1007.2700]
14. C. de Rham, G. Gabadadze, L. Heisenberg and D. Pirtskhalava, 2011 Cosmic Acceleration and the Helicity-0 Graviton, Phys. Rev. D 83 103516 [1010.1780]
15. C. Burrage, C. de Rham and L. Heisenberg, 2011 de Sitter Galileon J. Cosmol. Astropart. Phys. 2011 05 025 [1104.0155]
16. C. Burrage, C. de Rham, D. Seery and A.J. Tolley, 2011 Galileon inflation J. Cosmol. Astropart. Phys. 2011 01 014 [1009.2497]
17. D.F. Mota, M. Sandstad and T. Zlosnik, 2010 Cosmology of the selfaccelerating third order Galileon J. High Energy Phys. JHEP12(2010)051 [1009.6151]
18. S. Nesseris, A. De Felice and S. Tsujikawa, 2010 Observational constraints on Galileon cosmology, Phys. Rev. D 82 124054 [1010.0407]
19. A. De Felice, R. Kase and S. Tsujikawa, 2011 Matter perturbations in Galileon cosmology, Phys. Rev. D 83 043515 [1011.6132]
20. A. De Felice and S. Tsujikawa, 2012 Cosmological constraints on extended Galileon models J. Cosmol. Astropart. Phys. 2012 03 025 [1112.1774]
21. S.A. Appleby and E.V. Linder, 2012 Trial of Galileon gravity by cosmological expansion and growth observations J. Cosmol. Astropart. Phys. 2012 08 026 [1204.4314]
22. A. Barreira, B. Li, C.M. Baugh and S. Pascoli, 2012 Linear perturbations in Galileon gravity models, Phys. Rev. D 86 124016 [1208.0600]
23. A. Barreira, B. Li, A. Sanchez, C.M. Baugh and S. Pascoli, 2013 The parameter space in Galileon gravity models, Phys. Rev. D 87 103511 [1302.6241]
24. A. Padilla, P.M. Saffin and S.-Y. Zhou, 2010 Bi-galileon theory I: Motivation and formulation J. High Energy Phys. JHEP12(2010)031 [1007.5424]
25. K. Hinterbichler, M. Trodden and D. Wesley, 2010 Multi-field galileons and higher co-dimension branes, Phys. Rev. D 82 124018 [1008.1305]
26. M. Trodden and K. Hinterbichler, 2011 Generalizing Galileons, Class. Quant. Grav. 28 204003 [1104.2088]
27. G. Goon, K. Hinterbichler, A. Joyce and M. Trodden, 2012 Gauged Galileons From Branes, Phys. Lett. B 714 115 [1201.0015]
28. S.-Y. Zhou and E.J. Copeland, 2012 Galileons with Gauge Symmetries, Phys. Rev. D 85 065002 [1112.0968]
29. C. Deffayet, S. Deser and G. Esposito-Farese, 2010 Arbitrary p-form Galileons, Phys. Rev. D 82 061501 [1007.5278]
30. G. Tasinato, K. Koyama and N. Khosravi, The role of vector fields in modified gravity scenarios, [1307.0077]
31. G.W. Horndeski, 1976 Conservation of Charge and the Einstein-Maxwell Field Equations, J. Math. Phys. 17 1980
32. H.A. Buchdahl, 1979 On A Lagrangian For Nonminimally Coupled Gravitational And Electromagnetic Fields, J. Phys. A 12 1037
33. F. Müller-Hoissen, 1988 Non-minimal coupling from dimensional reduction of the Gauss-Bonnet action, Phys. Lett. B 201 325
34. K. Land and J. Magueijo, 2005 The Axis of evil, Phys. Rev. Lett. 95 071301 [astro-ph/0502237] (Pubitemid 41505971)
35. K. Land and J. Magueijo, 2007 The Axis of Evil revisited, Mon. Not. Roy. Astron. Soc. 378 153 [astro-ph/0611518]
36. H.K. Eriksen, F.K. Hansen, A.J. Banday, K.M. Gorski and P.B. Lilje, 2004 Asymmetries in the Cosmic Microwave Background anisotropy field, Astrophys. J. 605 14 [Erratum ibid 609 (2004) 1198] [astro-ph/0307507] (Pubitemid 38706156)
37. Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XXIII. Isotropy and Statistics of the CMB, [1303.5083]
38. L.H. Ford, 1989 Inflation Driven By A Vector Field, Phys. Rev. D 40 967
39. A. Golovnev, V. Mukhanov and V. Vanchurin, 2008 Vector Inflation J. Cosmol. Astropart. Phys. 2008 06 009 [0802.2068]
40. C.G. Boehmer and T. Harko, 2007 Dark energy as a massive vector field, Eur. Phys. J. C 50 423 [gr-qc/0701029]
41. T. Koivisto and D.F. Mota, 2008 Vector Field Models of Inflation and Dark Energy J. Cosmol. Astropart. Phys. 2008 08 021 [0805.4229]
42. J. Beltrán Jimenéz and A.L. Maroto, 2008 A cosmic vector for dark energy, Phys. Rev. D 78 063005 [0801.1486]
43. J. Beltrán Jimenéz, R. Lazkoz and A.L. Maroto, 2009 Cosmic vector for dark energy: Constraints from supernovae, cosmic microwave background and baryon acoustic oscillations, Phys. Rev. D 80 023004 [0904.0433]
44. J. Beltrán Jimenéz and A.L. Maroto, 2009 Cosmological electromagnetic fields and dark energy J. Cosmol. Astropart. Phys. 2009 03 016 [0811.0566]
45. J. Beltrán Jimenéz and A.L. Maroto, 2010 The electromagnetic dark sector, Phys. Lett. B 686 175 [0903.4672]
46. J. Beltrán Jimenéz, T.S. Koivisto, A.L. Maroto and D.F. Mota, 2009 Perturbations in electromagnetic dark energy J. Cosmol. Astropart. Phys. 2009 10 029 [0907.3648]
47. A.R. Gomes and L. Amendola, Scaling cosmological solutions with Horndeski Lagrangian, [1306.3593]
48. M.-a. Watanabe, S. Kanno and J. Soda, 2009 Inflationary Universe with Anisotropic Hair, Phys. Rev. Lett. 102 191302 [0902.2833]
49. J. Soda, 2012 Statistical Anisotropy from Anisotropic Inflation, Class. Quant. Grav. 29 083001 [1201.6434]
50. A. Maleknejad, M.M. Sheikh-Jabbari and J. Soda, 2013 Gauge Fields and Inflation, Phys. Rept. 528 161 [1212.2921]
51. R. Durrer, L. Hollenstein and R.K. Jain, 2011 Can slow roll inflation induce relevant helical magnetic fields? J. Cosmol. Astropart. Phys. 2011 03 037 [1005.5322]
52. M. Thorsrud, D.F. Mota and S. Hervik, 2012 Cosmology of a Scalar Field Coupled to Matter and an Isotropy-Violating Maxwell Field J. High Energy Phys. JHEP10(2012)066 [1205.6261]
53. M. Thorsrud, Quintessence with Kaluza-Klein type couplings to matter and an isotropy-violating vector field, [1303.2469]
54. E. Carlesi, A. Knebe, G. Yepes, S. Gottloeber, J. Beltrán Jimenéz and A.L. Maroto, 2012 Vector dark energy and high-z massive clusters, Mon. Not. Roy. Astron. Soc. 418 2715 [1108.4173]
55. E. Carlesi, A. Knebe, G. Yepes, S. Gottloeber, J. Beltrán Jimenéz and A.L. Maroto, 2012 N-body simulations with a cosmic vector for dark energy, Mon. Not. Roy. Astron. Soc. 424 699 [1205.1695]
56. B. Himmetoglu, C.R. Contaldi and M. Peloso, 2009 Instability of anisotropic cosmological solutions supported by vector fields, Phys. Rev. Lett. 102 111301 [0809.2779].
57. S.M. Carroll, T.R. Dulaney, M.I. Gresham and H. Tam, 2009 Instabilities in the Aether, Phys. Rev. D 79 065011 [0812.1049]
58. B. Himmetoglu, C.R. Contaldi and M. Peloso, 2009 Instability of the ACW model and problems with massive vectors during inflation, Phys. Rev. D 79 063517 [0812.1231]
59. T.S. Koivisto, D.F. Mota and C. Pitrou, 2009 Inflation from N-Forms and its stability J. High Energy Phys. JHEP09(2009)092 [0903.4158]
60. B. Himmetoglu, C.R. Contaldi and M. Peloso, 2009 Ghost instabilities of cosmological models with vector fields nonminimally coupled to the curvature, Phys. Rev. D 80 123530 [0909.3524]
61. A. Golovnev, 2010 Linear perturbations in vector inflation and stability issues, Phys. Rev. D 81 023514 [0910.0173]
62. C. Armendariz-Picon and A. Diez-Tejedor, 2009 Aether Unleashed J. Cosmol. Astropart. Phys. 2009 12 018 [0904.0809]
63. J. Beltrán Jimenéz and A.L. Maroto, 2009 Viability of vector-tensor theories of gravity J. Cosmol. Astropart. Phys. 2009 02 025 [0811.0784]
64. G. Esposito-Farese, C. Pitrou and J.-P. Uzan, 2010 Vector theories in cosmology, Phys. Rev. D 81 063519 [0912.0481].
65. J.A.R. Cembranos, C. Hallabrin, A.L. Maroto and S.J.N. Jarñeno, 2012 Isotropy theorem for cosmological vector fields, Phys. Rev. D 86 021301 [1203.6221]
66. J.A.R. Cembranos, A.L. Maroto and S.N. Jareño, 2013 Isotropy theorem for cosmological Yang-Mills theories, Phys. Rev. D 87 043523 [1212.3201]
67. J. Beltrán Jimenéz, A.L. Delvas Froes and D.F. Mota, 2013 Screening Vector Field Modifications of General Relativity, Phys. Lett. B 725 212 [1212.1923]
68. C. de Rham and L. Heisenberg, 2011 Cosmology of the Galileon from Massive Gravity, Phys. Rev. D 84 043503 [1106.3312]
69. J.D. Barrow, M. Thorsrud and K. Yamamoto, 2013 Cosmologies in Horndeski's second-order vector-tensor theory J. High Energy Phys. JHEP02(2013)146 [1211.5403]
70. I.T. Drummond and S.J. Hathrell, 1980 QED Vacuum Polarization in a Background Gravitational Field and Its Effect on the Velocity of Photons, Phys. Rev. D 22 343
71. M.S. Turner and L.M. Widrow, 1988 Inflation Produced, Large Scale Magnetic Fields, Phys. Rev. D 37 2743
72. V.G. LeBlanc, 1997 Asymptotic states of magnetic Bianchi I cosmologies, Class. Quant. Grav. 14 2281 (Pubitemid 127106718)
73. J.D. Barrow, 1995 Why the universe is not anisotropic, Phys. Rev. D 51 3113
74. F. Mueller-Hoissen and R. Sippel, 1988 Spherically Symmetric Solutions of the Nonminimally Coupled Einstein-Maxwell Equations, Class. Quant. Grav. 5 1473
75. R. Durrer and A. Neronov, Cosmological Magnetic Fields: Their Generation, Evolution and Observation, [1303.7121]
76. P. Teyssandier, 2004 Variation of the speed of light due to nonminimal coupling between electromagnetism and gravity Annales Fond. Broglie 29 173 [gr-qc/0303081]
77. E. Babichev, V. Mukhanov and A. Vikman, 2008 k-Essence, superluminal propagation, causality and emergent geometry J. High Energy Phys. JHEP02(2008)101 [0708.0561]
78. S.W. Hawking, 1992 The Chronology protection conjecture, Phys. Rev. D 46 603
79. C. Burrage, C. de Rham, L. Heisenberg and A.J. Tolley, 2012 Chronology Protection in Galileon Models and Massive Gravity J. Cosmol. Astropart. Phys. 2012 07 004 [1111.5549]
80. P. de Fromont, C. de Rham, L. Heisenberg and A. Matas, 2013 Superluminality in the Bi- and Multi- Galileon J. High Energy Phys. JHEP07(2013)067 [1303.0274]
81. T.J. Hollowood and G.M. Shore, 2012 The Effect of Gravitational Tidal Forces on Renormalized Quantum Fields J. High Energy Phys. JHEP02(2012)120 [1111.3174]