Consistent perturbations in an imperfect fluid

Journal of Cosmology and Astroparticle Physics

Volumn 2013, Issue 1, 2013, Pages

  Sawicki, Ignacy ^a   Ippocratis, D Saltas ^b,c   Amendola, Luca ^a   Kunz, Martin ^d  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^b UNIVERSITY OF SUSSEX   (United Kingdom)

^c UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^d UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

cosmological perturbation theory; dark energy theory; gravity; modified gravity

Indexed keywords

EID: 84873677819     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2013/01/004     Document Type: Article

References (112)

1. B. Ratra and P. Peebles, 1988 Cosmological Consequences of a Rolling Homogeneous Scalar Field, Phys. Rev. D 37 3406
2. C. Wetterich, 1988 Cosmology and the Fate of Dilatation Symmetry, Nucl. Phys. B 302 668
3. S.M. Carroll, V. Duvvuri, M. Trodden and M.S. Turner, 2004 Is cosmic speed-up due to new gravitational physics?, Phys. Rev. D 70 043528 [astro-ph/0306438]
4. C. Brans and R. Dicke, 1961 Mach's principle and a relativistic theory of gravitation, Phys. Rev. 124 925
5. T. Chiba, 2003 1/R gravity and scalar-tensor gravity, Phys. Lett. B 575 1 [astro-ph/0307338]
6. M. Ishak, A. Upadhye and D.N. Spergel, 2006 Probing cosmic acceleration beyond the equation of state: Distinguishing between dark energy and modified gravity models, Phys. Rev. D 74 043513 [astro-ph/0507184] (Pubitemid 44232641)
7. C. Armendariz-Picon, T. Damour and V.F. Mukhanov, 1999 k-inflation, Phys. Lett. B 458 209 [hep-th/9904075]
8. C. Armendariz-Picon, V.F. Mukhanov and P.J. Steinhardt, 2001 Essentials of k essence, Phys. Rev. D 63 103510 [astro-ph/0006373] (Pubitemid 33795140)
9. C. Armendariz-Picon, V.F. Mukhanov and P.J. Steinhardt, 2000 A Dynamical solution to the problem of a small cosmological constant and late time cosmic acceleration, Phys. Rev. Lett. 85 4438 [astro-ph/0004134] (Pubitemid 32024860)
10. J. Garriga and V.F. Mukhanov, 1999 Perturbations in k-inflation, Phys. Lett. B 458 219 [hep-th/9904176]
11. N. Arkani-Hamed, H.-C. Cheng, M.A. Luty and S. Mukohyama, 2004 Ghost condensation and a consistent infrared modification of gravity J. High Energy Phys. JHEP05(2004)074 [hep-th/0312099]
12. R.J. Scherrer, 2004 Purely kinetic k-essence as unified dark matter, Phys. Rev. Lett. 93 011301 [astro-ph/0402316]
13. D. Bertacca, S. Matarrese and M. Pietroni, 2007 Unified Dark Matter in Scalar Field Cosmologies, Mod. Phys. Lett. A 22 2893 [astro-ph/0703259]
14. E.A. Lim, I. Sawicki and A. Vikman, 2010 Dust of Dark Energy J. Cosmol. Astropart. Phys. JCAP05(2010)012 [1003.5751]
15. J.M. Bardeen, 1980 Gauge Invariant Cosmological Perturbations, Phys. Rev. D 22 1882
16. C.-P. Ma and E. Bertschinger, 1995 Cosmological perturbation theory in the synchronous and conformal Newtonian gauges, Astrophys. J. 455 7 [astro-ph/9506072] (Pubitemid 126000803)
17. W. Hu and D.J. Eisenstein, 1999 The Structure of structure formation theories, Phys. Rev. D 59 083509 [astro-ph/9809368]
18. Y.-S. Song, W. Hu and I. Sawicki, 2007 The Large Scale Structure of f(R) Gravity, Phys. Rev. D 75 044004 [astro-ph/0610532]
19. S. Tsujikawa, 2008 Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints, Phys. Rev. D 77 023507 [0709.1391]
20. I.D. Saltas and M. Kunz, 2011 Anisotropic stress and stability in modified gravity models, Phys. Rev. D 83 064042 [1012.3171]
21. E.V. Linder, 2005 Cosmic growth history and expansion history, Phys. Rev. D 72 043529 [astro-ph/0507263]
22. L. Knox, Y.-S. Song and J.A. Tyson, 2006 Distance-redshift and growth-redshift relations as two windows on acceleration and gravitation: Dark energy or new gravity?, Phys. Rev. D 74 023512 [astro-ph/0503644]
23. M. Kunz and D. Sapone, 2007 Dark Energy versus Modified Gravity, Phys. Rev. Lett. 98 121301 [astro-ph/0612452] (Pubitemid 46474063)
24. I. Laszlo and R. Bean, 2008 Nonlinear growth in modified gravity theories of dark energy, Phys. Rev. D 77 024048 [0709.0307]
25. R. Caldwell, A. Cooray and A. Melchiorri, 2007 Constraints on a New Post-General Relativity Cosmological Parameter, Phys. Rev. D 76 023507 [astro-ph/0703375]
26. L. Amendola, M. Kunz and D. Sapone, 2008 Measuring the dark side (with weak lensing) J. Cosmol. Astropart. Phys. JCAP04(2008)013 [0704.2421]
27. L. Pogosian, A. Silvestri, K. Koyama and G.-B. Zhao, 2010 How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations?, Phys. Rev. D 81 104023 [1002.2382]
28. R.A. Battye and J.A. Pearson, 2012 Effective action approach to cosmological perturbations in dark energy and modified gravity J. Cosmol. Astropart. Phys. JCAP07(2012)019 [1203.0398]
29. W. Hu and I. Sawicki, 2007 A Parameterized Post-Friedmann Framework for Modified Gravity, Phys. Rev. D 76 104043 [0708.1190]
30. T. Baker, P.G. Ferreira, C. Skordis and J. Zuntz, 2011 Towards a fully consistent parameterization of modified gravity, Phys. Rev. D 84 124018 [1107.0491]
31. W. Hu and I. Sawicki, 2007 Models of f(R) Cosmic Acceleration that Evade Solar-System Tests, Phys. Rev. D 76 064004 [0705.1158]
32. A.A. Starobinsky, 2007 Disappearing cosmological constant in f(R) gravity, JETP Lett. 86 157 [0706.2041]
33. L. Amendola, R. Gannouji, D. Polarski and S. Tsujikawa, 2007 Conditions for the cosmological viability of f(R) dark energy models, Phys. Rev. D 75 083504 [gr-qc/0612180]
34. J. Khoury and A. Weltman, 2004 Chameleon fields: Awaiting surprises for tests of gravity in space, Phys. Rev. Lett. 93 171104 [astro-ph/0309300]
35. J. Khoury and A. Weltman, 2004 Chameleon cosmology, Phys. Rev. D 69 044026 [astro-ph/0309411] (Pubitemid 44643200)
36. C. Wetterich, 1995 The Cosmon model for an asymptotically vanishing time dependent cosmological 'constant' Astron. Astrophys. 301 321 [hep-th/9408025]
37. L. Amendola, 2000 Coupled quintessence, Phys. Rev. D 62 043511 [astro-ph/9908023]
38. G. Dvali, G. Gabadadze and M. Porrati, 2000 4-D gravity on a brane in 5-D Minkowski space, Phys. Lett. B 485 208 [hep-th/0005016]
39. C. Deffayet, 2001 Cosmology on a brane in Minkowski bulk, Phys. Lett. B 502 199 [hep-th/0010186] (Pubitemid 32242161)
40. G. Gabadadze, 2009 General Relativity With An Auxiliary Dimension, Phys. Lett. B 681 89 [0908.1112]
41. M.A. Luty, M. Porrati and R. Rattazzi, 2003 Strong interactions and stability in the DGP model J. High Energy Phys. JHEP09(2003)029 [hep-th/0303116]
42. A. Nicolis and R. Rattazzi, 2004 Classical and quantum consistency of the DGP model J. High Energy Phys. JHEP06(2004)059 [hep-th/0404159]
43. G. Gabadadze and A. Iglesias, 2006 (De)coupling limit of DGP, Phys. Lett. B 639 88 [hep-th/0603199] (Pubitemid 44041826)
44. A. Nicolis, R. Rattazzi and E. Trincherini, 2009 The Galileon as a local modification of gravity, Phys. Rev. D 79 064036 [0811.2197]
45. A. Nicolis, R. Rattazzi and E. Trincherini, 2010 Energy's and amplitudes' positivity J. High Energy Phys. JHEP05(2010)095 [Erratum ibid 1111 (2011) 128] [0912.4258]
46. C. Deffayet, G. Esposito-Farese and A. Vikman, 2009 Covariant Galileon, Phys. Rev. D 79 084003 [0901.1314]
47. 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]
48. C. Deffayet, O. Pujolàs, I. Sawicki and A. Vikman, 2010 Imperfect Dark Energy from Kinetic Gravity Braiding J. Cosmol. Astropart. Phys. JCAP10(2010)026 [1008.0048]
49. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2010 G-inflation: Inflation driven by the Galileon field, Phys. Rev. Lett. 105 231302 [1008.0603]
50. C. Deffayet, X. Gao, D. Steer and G. Zahariade, 2011 From k-essence to generalised Galileons, Phys. Rev. D 84 064039 [1103.3260]
51. G.W. Horndeski, 1974 Second-order scalar-tensor field equations in a four-dimensional space, Int. J. Theor. Phys. 10 363
52. C. de Rham and A.J. Tolley, 2010 DBI and the Galileon reunited J. Cosmol. Astropart. Phys. JCAP05(2010)015 [1003.5917]
53. K. Hinterbichler, M. Trodden and D. Wesley, 2010 Multi-field galileons and higher co-dimension branes, Phys. Rev. D 82 124018 [1008.1305]
54. G. Goon, K. Hinterbichler and M. Trodden, 2011 Symmetries for Galileons and DBI scalars on curved space J. Cosmol. Astropart. Phys. JCAP07(2011)017 [1103.5745]
55. G. Goon, K. Hinterbichler and M. Trodden, 2011 A New Class of Effective Field Theories from Embedded Branes, Phys. Rev. Lett. 106 231102 [1103.6029]
56. C. de Rham and G. Gabadadze, 2010 Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 044020 [1007.0443]
57. C. de Rham, G. Gabadadze and A.J. Tolley, 2011 Resummation of Massive Gravity, Phys. Rev. Lett. 106 231101 [1011.1232]
58. S. Hassan and R.A. Rosen, 2011 On Non-Linear Actions for Massive Gravity J. High Energy Phys. JHEP07(2011)009 [1103.6055]
59. O. Pujolàs, I. Sawicki and A. Vikman, 2011 The Imperfect Fluid behind Kinetic Gravity Braiding J. High Energy Phys. JHEP11(2011)156 [1103.5360]
60. X. Gao, 2011 Conserved cosmological perturbation in Galileon models J. Cosmol. Astropart. Phys. JCAP10(2011)021 [1106.0292]
61. P. Creminelli, A. Nicolis and E. Trincherini, 2010 Galilean Genesis: An Alternative to inflation J. Cosmol. Astropart. Phys. JCAP11(2010)021 [1007.0027]
62. T. Qiu, J. Evslin, Y.-F. Cai, M. Li and X. Zhang, 2011 Bouncing Galileon Cosmologies J. Cosmol. Astropart. Phys. JCAP10(2011)036 [1108.0593]
63. D.A. Easson, I. Sawicki and A. Vikman, 2011 G-Bounce J. Cosmol. Astropart. Phys. JCAP11(2011)021 [1109.1047]
64. X. Gao and D.A. Steer, 2011 Inflation and primordial non-Gaussianities of 'generalized Galileons' J. Cosmol. Astropart. Phys. JCAP12(2011)019 [1107.2642]
65. A. De Felice, T. Kobayashi and S. Tsujikawa, 2011 Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations, Phys. Lett. B 706 123 [1108.4242]
66. P. Creminelli, M.A. Luty, A. Nicolis and L. Senatore, 2006 Starting the Universe: Stable Violation of the Null Energy Condition and Non-standard Cosmologies J. High Energy Phys. JHEP12(2006)080 [hep-th/0606090]
67. P. Creminelli, G. D'Amico, J. Norena and F. Vernizzi, 2009 The Effective Theory of Quintessence: the w < -1 Side Unveiled J. Cosmol. Astropart. Phys. JCAP02(2009)018 [0811.0827]
68. D. Sapone, M. Kunz and M. Kunz, 2009 Fingerprinting Dark Energy, Phys. Rev. D 80 083519 [0909.0007]
69. D. Sapone, M. Kunz and L. Amendola, 2010 Fingerprinting Dark Energy II: weak lensing and galaxy clustering tests, Phys. Rev. D 82 103535 [1007.2188]
70. M. Kunz and D. Sapone, 2006 Crossing the Phantom Divide, Phys. Rev. D 74 123503 [astro-ph/0609040] (Pubitemid 44888157)
71. A.J. Christopherson and K.A. Malik, 2009 The non-adiabatic pressure in general scalar field systems, Phys. Lett. B 675 159 [0809.3518]
72. L.D. Landau and E.M. Lifshitz, 1987 Course of Theoretical Physics, Vol. 6, Fluid Mechanics, Pergamon Press, Second English Edition, Revised
73. V. Moncrief, 1980 Stability of stationary, spherical accretion onto a Schwarzschild black hole, Asrtophys. J. 235 1038
74. A. Diez-Tejedor and A. FEinstein, 2005 Relativistic hydrodynamics with sources for cosmological K-fluids, Int. J. Mod. Phys. D 14 1561 [gr-qc/0501101] (Pubitemid 41376743)
75. N. Bilic, 2008 Thermodynamics of k-essence, Phys. Rev. D 78 105012 [0806.0642]
76. R. Akhoury, C.S. Gauthier and A. Vikman, 2009 Stationary Configurations Imply Shift Symmetry: No Bondi Accretion for Quintessence/k-Essence J. High Energy Phys. JHEP03(2009)082 [0811.1620]
77. F. Arroja and M. Sasaki, 2010 A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field, Phys. Rev. D 81 107301 [1002.1376]
78. S. Unnikrishnan and L. Sriramkumar, 2010 A note on perfect scalar fields, Phys. Rev. D 81 103511 [1002.0820]
79. R. Bean, D. Bernat, L. Pogosian, A. Silvestri and M. Trodden, 2007 Dynamics of Linear Perturbations in f(R) Gravity, Phys. Rev. D 75 064020 [astro-ph/0611321]
80. N. Andersson and G. Comer, 2005 Relativistic fluid dynamics: Physics for many different scales Living Rev. Rel. 10 1 [gr-qc/0605010]
81. V. Mukhanov, 2005 Physical Foundations of Cosmology. Cambridge University Press
82. D.H. Lyth, K.A. Malik and M. Sasaki, 2005 A General proof of the conservation of the curvature perturbation J. Cosmol. Astropart. Phys. JCAP05(2005)004 [astro-ph/0411220]
83. K.A. Malik and D. Wands, 2005 Adiabatic and entropy perturbations with interacting fluids and fields J. Cosmol. Astropart. Phys. JCAP02(2005)007 [astro-ph/0411703]
84. B.F. Schutz, 1970 Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle, Phys. Rev. D 2 2762
85. 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]
86. A.J. Christopherson, J. Hidalgo and K.A. Malik, Modelling non-dust fluids in cosmology, [1207.1870]
87. L. Amendola and D. Tocchini-Valentini, 2002 Baryon bias and structure formation in an accelerating universe, Phys. Rev. D 66 043528 [astro-ph/0111535] (Pubitemid 44861164)
88. T. Koivisto, 2005 Growth of perturbations in dark matter coupled with quintessence, Phys. Rev. D 72 043516 [astro-ph/0504571]
89. N. Afshordi, M. Zaldarriaga and K. Kohri, 2005 On the stability of dark energy with mass-varying neutrinos, Phys. Rev. D 72 065024 [astro-ph/0506663]
90. R. Bean, E.E. Flanagan and M. Trodden, 2008 Adiabatic instability in coupled dark energy-dark matter models, Phys. Rev. D 78 023009 [0709.1128]
91. T. Kobayashi, H. Tashiro and D. Suzuki, 2010 Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity, Phys. Rev. D 81 063513 [0912.4641]
92. T. Kobayashi, 2010 Cosmic expansion and growth histories in Galileon scalar-tensor models of dark energy, Phys. Rev. D 81 103533 [1003.3281]
93. A. De Felice, R. Kase and S. Tsujikawa, 2011 Matter perturbations in Galileon cosmology, Phys. Rev. D 83 043515 [1011.6132]
94. A. De Felice, S. Mukohyama and S. Tsujikawa, 2010 Density perturbations in general modified gravitational theories, Phys. Rev. D 82 023524 [1006.0281]
95. A. De Felice and S. Tsujikawa, 2010 Generalized Brans-Dicke theories J. Cosmol. Astropart. Phys. JCAP07(2010)024 [1005.0868]
96. A. De Felice and S. Tsujikawa, 2011 Generalized Galileon cosmology, Phys. Rev. D 84 124029 [1008.4236]
97. A. De Felice and S. Tsujikawa, 2010 Cosmology of a covariant Galileon field, Phys. Rev. Lett. 105 111301 [1007.2700]
98. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Primordial non-Gaussianity from G-inflation, Phys. Rev. D 83 103524 [1103.1740]
99. A. De Felice and S. Tsujikawa, 2011 Primordial non-Gaussianities in general modified gravitational models of inflation J. Cosmol. Astropart. Phys. JCAP04(2011)029 [1103.1172]
100. S. Appleby and E.V. Linder, 2012 The Paths of Gravity in Galileon Cosmology J. Cosmol. Astropart. Phys. JCAP03(2012)043 [1112.1981]
101. S.A. Appleby and E.V. Linder, 2012 Trial of Galileon gravity by cosmological expansion and growth observations J. Cosmol. Astropart. Phys. JCAP08(2012)026 [1204.4314]
102. A. Barreira, B. Li, C. Baugh and S. Pascoli, Linear perturbations in Galileon gravity models, [1208.0600]
103. L. Amendola, 2004 Phantom energy mediates a long-range repulsive force, Phys. Rev. Lett. 93 181102 [hep-th/0409224]
104. H. Wei and R.-G. Cai, 2005 K-chameleon and the coincidence problem, Phys. Rev. D 71 043504 [hep-th/0412045]
105. A. De Felice and S. Tsujikawa, 2012 Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models J. Cosmol. Astropart. Phys. JCAP02(2012)007 [1110.3878]
106. J.D. Barrow, 2004 Sudden future singularities Class. Quant. Grav. 21 L79 [gr-qc/0403084]
107. L. Amendola, 1999 Scaling solutions in general nonminimal coupling theories, Phys. Rev. D 60 043501 [astro-ph/9904120]
108. V. Pettorino, L. Amendola, C. Baccigalupi and C. Quercellini, 2012 Constraints on coupled dark energy using CMB data from WMAP and SPT, Phys. Rev. D 86 103507 [1207.3293]
109. P. Creminelli, G. D'Amico, J. Norena, L. Senatore and F. Vernizzi, 2010 Spherical collapse in quintessence models with zero speed of sound J. Cosmol. Astropart. Phys. JCAP03(2010)027 [0911.2701]
110. S.V. Sushkov, 2009 Exact cosmological solutions with nonminimal derivative coupling, Phys. Rev. D 80 103505 [0910.0980]
111. G. Ballesteros, L. Hollenstein, R.K. Jain and M. Kunz, 2012 Nonlinear cosmological consistency relations and effective matter stresses J. Cosmol. Astropart. Phys. JCAP05(2012)038 [1112.4837]
112. R. Maartens, 1998 Covariant velocity and density perturbations in quasiNewtonian cosmologies, Phys. Rev. D 58 124006 [astro-ph/9808235]