The imperfect fluid behind kinetic gravity braiding

Journal of High Energy Physics

Volumn 2011, Issue 11, 2011, Pages

  Pujolàs, Oriol ^a   Sawicki, Ignacy ^b   Vikman, Alexander ^c  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^c CERN   (Switzerland)

Author keywords

Classical Theories of Gravity; Cosmology of Theories beyond the SM; Global Symmetries; Nonperturbative Effects

Indexed keywords

EID: 84255186380     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP11(2011)156     Document Type: Article

References (90)

1. C. Armendariz-Picon, V.F. Mukhanov and P.J. Steinhardt, Essentials of k essence, Phys. Rev. D 63 (2001) 103510 [astro-ph/0006373].
2. C. Armendariz-Picon, V.F. Mukhanov and P.J. Steinhardt, A dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration, Phys. Rev. Lett. 85 (2000) 4438 [astro-ph/0004134].
3. C. Armendariz-Picon, T. Damour and V.F. Mukhanov, k-inflation, Phys. Lett. B 458 (1999) 209 [hep-th/9904075].
4. J. Garriga and V.F. Mukhanov, Perturbations in k-inflation, Phys. Lett. B 458 (1999) 219 [hep-th/9904176].
5. 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].
6. R.J. Scherrer, Purely kinetic k-essence as unified dark matter, Phys. Rev. Lett. 93 (2004) 011301 [astro-ph/0402316].
7. D. Giannakis and W. Hu, Kinetic unified dark matter, Phys. Rev. D 72 (2005) 063502 [astro-ph/0501423].
8. C. Armendariz-Picon and E.A. Lim, Haloes of k-essence, JCAPA,0508,007. 2005 0508 (2005) 007 [astro-ph/0505207].
9. D. Bertacca, S. Matarrese and M. Pietroni, Unified dark matter in scalar field cosmologies, Mod. Phys. Lett. A 22 (2007) 2893 [astro-ph/0703259].
10. P. Creminelli, G. D'Amico, J. Norena and F. Vernizzi, The effective theory of quintessence: the w < -1 side unveiled, JCAP 02 (2009) 018 [arXiv:0811.0827].
11. P. Creminelli, G. D'Amico, J. Norena, L. Senatore and F. Vernizzi, Spherical collapse in quintessence models with zero speed of sound, JCAP 03 (2010) 027 [arXiv:0911.2701].
12. D. Bertacca, N. Bartolo and S. Matarrese, Unified dark matter scalar field models, Adv. Astron. 2010 (2010) 904379 [arXiv:1008.0614].
13. T. Furukawa, S. Yokoyama, K. Ichiki, N. Sugiyama and S. Mukohyama, Ghost dark matter, JCAP 05 (2010) 007 [arXiv:1001.4634].
14. 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].
15. G. Gabadadze, General relativity with an auxiliary dimension, Phys. Lett. B 681 (2009) 89 [arXiv:0908.1112].
16. M.A. Luty, M. Porrati and R. Rattazzi, Strong interactions and stability in the DGP model, JHEP 09 (2003) 029 [hep-th/0303116].
17. A. Nicolis and R. Rattazzi, Classical and quantum consistency of the DGP model, JHEP 06 (2004) 059 [hep-th/0404159].
18. G. Gabadadze and A. Iglesias, (De)coupling limit of DGP, Phys. Lett. B 639 (2006) 88 [hep-th/0603199].
19. E. Babichev, C. Deffayet and R. Ziour, k-mouflage gravity, Int. J. Mod. Phys. D 18 (2009) 2147 [arXiv:0905.2943].
20. E. Babichev, C. Deffayet and R. Ziour, Recovering general relativity from massive gravity, Phys. Rev. Lett. 103 (2009) 201102 [arXiv:0907.4103].
21. A. Nicolis, R. Rattazzi and E. Trincherini, The galileon as a local modification of gravity, Phys. Rev. D 79 (2009) 064036 [arXiv:0811.2197].
22. A. Nicolis, R. Rattazzi and E. Trincherini, Energy's and amplitudes' positivity, JHEP 05 (2010) 095 [arXiv:0912.4258].
23. D. Fairlie, J. Govaerts and A. Morozov, Universal field equations with covariant solutions, Nucl. Phys. B 373 (1992) 214 [hep-th/9110022].
24. D. Fairlie and J. Govaerts, Euler hierarchies and universal equations, J. Math. Phys. 33 (1992) 3543 [hep-th/9204074].
25. D. Fairlie, Comments on Galileons, J. Phys. A 44 (2011) 305201 [arXiv:1102.1594].
26. C. Deffayet, G. Esposito-Farese and A. Vikman, Covariant Galileon, Phys. Rev. D 79 (2009) 084003 [arXiv:0901.1314].
27. C. Deffayet, S. Deser and G. Esposito-Farese, Generalized Galileons: all scalar models whose curved background extensions maintain second-order field equations and stress-tensors, Phys. Rev. D 80 (2009) 064015 [arXiv:0906.1967].
28. N. Chow and J. Khoury, Galileon cosmology, Phys. Rev. D 80 (2009) 024037 [arXiv:0905.1325].
29. F.P. Silva and K. Koyama, Self-accelerating universe in Galileon cosmology, Phys. Rev. D 80 (2009) 121301 [arXiv:0909.4538].
30. T. Kobayashi, H. Tashiro and D. Suzuki, Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity, Phys. Rev. D 81 (2010) 063513 [arXiv:0912.4641].
31. A. De Felice and S. Tsujikawa, Generalized Brans-Dicke theories, JCAP 07 (2010) 024 [arXiv:1005.0868].
32. A. De Felice, S. Mukohyama and S. Tsujikawa, Density perturbations in general modified gravitational theories, Phys. Rev. D 82 (2010) 023524 [arXiv:1006.0281].
33. P. Creminelli, A. Nicolis and E. Trincherini, Galilean genesis: an alternative to inflation, JCAP 11 (2010) 021 [arXiv:1007.0027].
34. A. De Felice and S. Tsujikawa, Cosmology of a covariant Galileon field, Phys. Rev. Lett. 105 (2010) 111301 [arXiv:1007.2700].
35. R. Gannouji and M. Sami, Galileon gravity and its relevance to late time cosmic acceleration, Phys. Rev. D 82 (2010) 024011 [arXiv:1004.2808].
36. T. Kobayashi, Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy, Phys. Rev. D 81 (2010) 103533 [arXiv:1003.3281].
37. A. De Felice and S. Tsujikawa, Generalized Galileon cosmology, arXiv:1008.4236.
38. S. Mizuno and K. Koyama, Primordial non-gaussianity from the DBI Galileons, Phys. Rev. D 82 (2010) 103518 [arXiv:1009.0677].
39. C. Burrage, C. de Rham, D. Seery and A.J. Tolley, Galileon inflation, JCAP 01 (2011) 014 [arXiv:1009.2497].
40. D.F. Mota, M. Sandstad and T. Zlosnik, Cosmology of the selfaccelerating third order Galileon, JHEP 12 (2010) 051 [arXiv:1009.6151].
41. S. Nesseris, A. De Felice and S. Tsujikawa, Observational constraints on Galileon cosmology, Phys. Rev. D 82 (2010) 124054 [arXiv:1010.0407].
42. P. Creminelli, G. D'Amico, M. Musso, J. Norena and E. Trincherini, Galilean symmetry in the effective theory of inflation: new shapes of non-gaussianity, JCAP 02 (2011) 006 [arXiv:1011.3004].
43. A. De Felice and S. Tsujikawa, Primordial non-gaussianities in general modified gravitational models of inflation, JCAP 04 (2011) 029 [arXiv:1103.1172].
44. A. De Felice, R. Kase and S. Tsujikawa, Matter perturbations in Galileon cosmology, Phys. Rev. D 83 (2011) 043515 [arXiv:1011.6132].
45. M. Wyman, Galilean-invariant scalar fields can strengthen gravitational lensing, Phys. Rev. Lett. 106 (2011) 201102 [arXiv:1101.1295].
46. K. Hinterbichler, M. Trodden and D. Wesley, Multi-field Galileons and higher co-dimension branes, Phys. Rev. D 82 (2010) 124018 [arXiv:1008.1305].
47. A. Padilla, P.M. Saffin and S.-Y. Zhou, Bi-Galileon theory I: motivation and formulation, JHEP 12 (2010) 031 [arXiv:1007.5424].
48. A. Padilla, P.M. Saffin and S.-Y. Zhou, Multi-Galileons, solitons and Derrick's theorem, Phys. Rev. D 83 (2011) 045009 [arXiv:1008.0745].
49. A. Padilla, P.M. Saffin and S.-Y. Zhou, Bi-Galileon theory II: phenomenology, JHEP 01 (2011) 099 [arXiv:1008.3312].
50. E. Babichev, Galileon accretion, Phys. Rev. D 83 (2011) 024008 [arXiv:1009.2921].
51. K. Van Acoleyen and J. Van Doorsselaere, Galileons from Lovelock actions, Phys. Rev. D 83 (2011) 084025 [arXiv:1102.0487].
52. C. de Rham and A.J. Tolley, DBI and the Galileon reunited, JCAP 05 (2010) 015 [arXiv:1003.5917].
53. C. Deffayet, X. Gao, D. Steer and G. Zahariade, From k-essence to generalised Galileons, Phys. Rev. D 84 (2011) 064039 [arXiv:1103.3260].
54. M. Andrews, K. Hinterbichler, J. Khoury and M. Trodden, Instabilities of spherical solutions with multiple Galileons and SO(N) symmetry, Phys. Rev. D 83 (2011) 044042 [arXiv:1008.4128].
55. G.L. Goon, K. Hinterbichler and M. Trodden, Stability and superluminality of spherical DBI Galileon solutions, Phys. Rev. D 83 (2011) 085015 [arXiv:1008.4580].
56. C. Deffayet, O. Pujolàs, I. Sawicki and A. Vikman, Imperfect dark energy from kinetic gravity braiding, JCAP 10 (2010) 026 [arXiv:1008.0048].
57. T. Kobayashi, M. Yamaguchi and J. Yokoyama, G-inflation: inflation driven by the Galileon field, Phys. Rev. Lett. 105 (2010) 231302 [arXiv:1008.0603].
58. R. Kimura and K. Yamamoto, Large scale structures in kinetic gravity braiding model that can be unbraided, JCAP 04 (2011) 025 [arXiv:1011.2006].
59. K. Kamada, T. Kobayashi, M. Yamaguchi and J. Yokoyama, Higgs G-inflation, Phys. Rev. D 83 (2011) 083515 [arXiv:1012.4238].
60. J.-O. Gong and T. Tanaka, A covariant approach to general field space metric in multi-field inflation, JCAP 03 (2011) 015 [arXiv:1101.4809].
61. T. Kobayashi, M. Yamaguchi and J. Yokoyama, Primordial non-gaussianity from G-inflation, Phys. Rev. D 83 (2011) 103524 [arXiv:1103.1740].
62. A. Naruko and M. Sasaki, Conservation of the nonlinear curvature perturbation in generic single-field inflation, Class. Quant. Grav. 28 (2011) 072001 [arXiv:1101.3180].
63. B.F. Schutz, Perfect fluids in general relativity: velocity potentials and a variational principle, Phys. Rev. D 2 (1970) 2762.
64. S. Unnikrishnan and L. Sriramkumar, A note on perfect scalar fields, Phys. Rev. D 81 (2010) 103511 [arXiv:1002.0820].
65. F. Arroja and M. Sasaki, A note on the equivalence of a barotropic perfect fluid with a k-essence scalar field, Phys. Rev. D 81 (2010) 107301 [arXiv:1002.1376].
66. L. D. Landau and E. M. Lifshitz, Course of theoretical physics. Volume 6: fluid mechanics, 2nd edition, Pergamon Press, U.K. (1987).
67. V. Moncrief, Stability of stationary, spherical accretion onto a Schwarzschild black hole, Astrophys. J. 235 (1980) 1038.
68. A. Diez-Tejedor and A. FEinstein, Relativistic hydrodynamics with sources for cosmological k-fluids, Int. J. Mod. Phys. D 14 (2005) 1561 [gr-qc/0501101].
69. N. Bilic, Thermodynamics of k-essence, Phys. Rev. D 78 (2008) 105012 [arXiv:0806.0642].
70. N. Andersson and G. Comer, Relativistic fluid dynamics: physics for many different scales, Living Rev. Rel. 10 (2005) 1 [gr-qc/0605010].
71. C. Misner, K. Thorne and J. Wheeler, Gravitation, W.H. Freeman & Co., U.S.A. (1973).
72. R. Akhoury, C.S. Gauthier and A. Vikman, Stationary configurations imply shift symmetry: no Bondi accretion for quintessence/k-essence, JHEP 03 (2009) 082 [arXiv:0811.1620].
73. S. Nojiri and S.D. Odintsov, Inhomogeneous equation of state of the universe: phantom era, future singularity and crossing the phantom barrier, Phys. Rev. D 72 (2005) 023003 [hep-th/0505215].
74. S. Capozziello, V. Cardone, E. Elizalde, S. Nojiri and S. Odintsov, Observational constraints on dark energy with generalized equations of state, Phys. Rev. D 73 (2006) 043512 [astro-ph/0508350].
75. S. Nojiri and S.D. Odintsov, Introduction to modified gravity and gravitational alternative for dark energy, eConf C 0602061 (2006) 06 [hep-th/0601213].
76. S.R. de Groot, W.A. van Leeuwen and C.G. van Weert, Relativistic kinetic theory: principles and applications, North-Holland Publishing Company, The Netherlands (1980).
77. O. Pujolas, I. Sawicki and A. Vikman, Stability and acoustic metric in fluids with kinetic gravity braiding, in preparation.
78. A. Vikman, Can dark energy evolve to the phantom?, Phys. Rev. D 71 (2005) 023515 [astro-ph/0407107].
79. S. Dubovsky, L. Hui, A. Nicolis and D.T. Son, Effective field theory for hydrodynamics: thermodynamics and the derivative expansion, arXiv:1107.0731.
80. O. Klein, On the thermodynamical equilibrium of fluids in gravitational fields, Rev. Mod. Phys. 21 (1949) 531.
81. L.D. Landau and E.M. Lifshitz, Course of theoretical physics. Volume 5: statistical physics, part 1, Pergamon Press, U.K. (1980).
82. W. Israel, Nonstationary irreversible thermodynamics: a causal relativistic theory, Annals Phys. 100 (1976) 310.
83. L.D. Landau and E.M. Lifshitz, Course of theoretical physics. Volume 9: statistical physics, part 2, Pergamon Press, U.K. (1980).
84. S. Dubovsky, T. Gregoire, A. Nicolis and R. Rattazzi, Null energy condition and superluminal propagation, JHEP 03 (2006) 025 [hep-th/0512260].
85. A. Nicolis and D.T. Son, Hall viscosity from effective field theory, arXiv:1103.2137.
86. S. Endlich, A. Nicolis, R. Rattazzi and J. Wang, The quantum mechanics of perfect fluids, JHEP 04 (2011) 102 [arXiv:1011.6396].
87. E. Dyer and K. Hinterbichler, Boundary terms and junction conditions for the DGP π-Lagrangian, JHEP 11 (2009) 059 [arXiv:0907.1691].
88. E. Dyer and K. Hinterbichler, Boundary terms, variational principles and higher derivative modified gravity, Phys. Rev. D 79 (2009) 024028 [arXiv:0809.4033].
89. E.A. Lim, I. Sawicki and A. Vikman, Dust of dark energy, JCAP 05 (2010) 012 [arXiv:1003.5751].
90. E. Gourgoulhon, An introduction to relativistic hydrodynamics, EAS Publ. Ser. 21 (2006) 43 [gr-qc/0603009].