Maximal freedom at minimum cost: Linear large-scale structure in general modifications of gravity

Journal of Cosmology and Astroparticle Physics

Volumn 2014, Issue 7, 2014, Pages

  Bellini, Emilio ^a   Sawicki, Ignacy ^b  

^a INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

^b AFRICAN INSTITUTE FOR MATHEMATICAL SCIENCES   (South Africa)

Author keywords

cosmological parameters from LSS; cosmological perturbation Theory; dark energy theory; modified gravity

Indexed keywords

EID: 84905049419     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2014/07/050     Document Type: Article

References (119)

1. B. Ratra and P.J.E. 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. T. Clifton, P.G. Ferreira, A. Padilla and C. Skordis, 2012 Modified Gravity and Cosmology, Phys. Rept. 513 1 [1106.2476]
5. M. Kunz, 2012 The phenomenological approach to modeling the dark energy, Compt. Rendus Phys. 13 539 [1204.5482]
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]
7. D. Huterer and G. Starkman, 2003 Parameterization of dark-energy properties: A Principal-component approach, Phys. Rev. Lett. 90 031301 [astro-ph/0207517]
8. C. Clarkson, B. Bassett and T. H.-C. Lu, 2008 A general test of the Copernican Principle, Phys. Rev. Lett. 101 011301 [0712.3457]
9. C. Zunckel and C. Clarkson, 2008 Consistency Tests for the Cosmological Constant, Phys. Rev. Lett. 101 181301 [0807.4304]
10. L. Amendola, M. Kunz, M. Motta, I.D. Saltas and I. Sawicki, 2013 Observables and unobservables in dark energy cosmologies, Phys. Rev. D 87 023501 [1210.0439]
11. M. Motta, I. Sawicki, I.D. Saltas, L. Amendola and M. Kunz, 2013 Probing Dark Energy through Scale Dependence, Phys. Rev. D 88 124035 [1305.0008]
12. L. Amendola, S. Fogli, A. Guarnizo, M. Kunz and A. Vollmer, 2014 Model-independent constraints on the cosmological anisotropic stress, Phys. Rev. D 89 063538 [1311.4765]
13. A. Lewis, A. Challinor and A. Lasenby, 2000 Efficient computation of CMB anisotropies in closed FRW models, Astrophys. J. 538 473 [astro-ph/9911177]
14. J. Lesgourgues, The Cosmic Linear Anisotropy Solving System (CLASS) I: Overview, [1104.2932]
15. D. Blas, J. Lesgourgues and T. Tram, 2011 The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes J. Cosmol. Astropart. Phys. 2011 07 034 [1104.2933]
16. M. Chevallier and D. Polarski, 2001 Accelerating universes with scaling dark matter, Int. J. Mod. Phys. D 10 213 [gr-qc/0009008]
17. E.V. Linder, 2003 Exploring the expansion history of the universe, Phys. Rev. Lett. 90 091301 [astro-ph/0208512]
18. R.R. Caldwell and M. Doran, 2005 Dark-energy evolution across the cosmological-constant boundary, Phys. Rev. D 72 043527 [astro-ph/0501104]
19. E.V. Linder, 2005 Cosmic growth history and expansion history, Phys. Rev. D 72 043529 [astro-ph/0507263]
20. L. Amendola, M. Kunz and D. Sapone, 2008 Measuring the dark side (with weak lensing) J. Cosmol. Astropart. Phys. 2008 04 013 [0704.2421]
21. E. Bertschinger, 2006 On the Growth of Perturbations as a Test of Dark Energy, Astrophys. J. 648 797 [astro-ph/0604485]
22. W. Hu and I. Sawicki, 2007 A Parameterized Post-Friedmann Framework for Modified Gravity, Phys. Rev. D 76 104043 [0708.1190]
23. L. Lombriser, J. Yoo and K. Koyama, 2013 Relativistic effects in galaxy clustering in a parametrized post-Friedmann universe, Phys. Rev. D 87 104019 [1301.3132]
24. 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]
25. T. Baker, P.G. Ferreira and C. Skordis, 2013 The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples, Phys. Rev. D 87 024015 [1209.2117]
26. I. Sawicki, I.D. Saltas, L. Amendola and M. Kunz, 2013 Consistent perturbations in an imperfect fluid J. Cosmol. Astropart. Phys. 2013 01 004 [1208.4855]
27. R.A. Battye and J.A. Pearson, 2012 Effective action approach to cosmological perturbations in dark energy and modified gravity J. Cosmol. Astropart. Phys. 2012 07 019 [1203.0398]
28. R.A. Battye and J.A. Pearson, 2013 Parametrizing dark sector perturbations via equations of state, Phys. Rev. D 88 061301 [1306.1175]
29. R.A. Battye and J.A. Pearson, 2014 Computing model independent perturbations in dark energy and modified gravity J. Cosmol. Astropart. Phys. 2014 03 051 [1311.6737]
30. E. Bertschinger and P. Zukin, 2008 Distinguishing Modified Gravity from Dark Energy, Phys. Rev. D 78 024015 [0801.2431]
31. A. Silvestri, L. Pogosian and R.V. Buniy, 2013 Practical approach to cosmological perturbations in modified gravity, Phys. Rev. D 87 104015 [1302.1193]
32. A. Hojjati, L. Pogosian, A. Silvestri and G.-B. Zhao, 2014 Observable physical modes of modified gravity, Phys. Rev. D 89 083505 [1312.5309]
33. 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]
34. G. Gubitosi, F. Piazza and F. Vernizzi, 2013 The Effective Field Theory of Dark Energy J. Cosmol. Astropart. Phys. 2013 02 032 [1210.0201]
35. J.K. Bloomfield, É.É. Flanagan, M. Park and S. Watson, 2013 Dark energy or modified gravity? An effective field theory approach J. Cosmol. Astropart. Phys. 2013 08 010 [1211.7054]
36. J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, 2013 Essential Building Blocks of Dark Energy J. Cosmol. Astropart. Phys. 2013 08 025 [1304.4840]
37. J. Bloomfield, 2013 A Simplified Approach to General Scalar-Tensor Theories J. Cosmol. Astropart. Phys. 2013 12 044 [1304.6712]
38. F. Piazza, H. Steigerwald and C. Marinoni, 2014 Phenomenology of dark energy: exploring the space of theories with future redshift surveys J. Cosmol. Astropart. Phys. 2014 05 043 [1312.6111]
39. L.Á. Gergely and S. Tsujikawa, 2014 Effective field theory of modified gravity with two scalar fields: dark energy and dark matter, Phys. Rev. D 89 064059 [1402.0553]
40. S. Tsujikawa, The effective field theory of inflation/dark energy and the Horndeski theory, [1404.2684]
41. B. Hu, M. Raveri, N. Frusciante and A. Silvestri, 2014 Effective Field Theory of Cosmic Acceleration: an implementation in CAMB, Phys. Rev. D 89 103530 [1312.5742]
42. G.W. Horndeski, 1974 Second-order scalar-tensor field equations in a four-dimensional space, Int. J. Theor. Phys. 10 363
43. C. Deffayet, X. Gao, D.A. Steer and G. Zahariade, 2011 From k-essence to generalised Galileons, Phys. Rev. D 84 064039 [1103.3260]
44. C. Brans and R.H. Dicke, 1961 Mach's principle and a relativistic theory of gravitation, Phys. Rev. 124 925
45. C. Armendariz-Picon, T. Damour and V.F. Mukhanov, 1999 k-inflation, Phys. Lett. B 458 209 [hep-th/9904075]
46. C. Armendariz-Picon, V.F. Mukhanov and P.J. Steinhardt, 2001 Essentials of k-essence, Phys. Rev. D 63 103510 [astro-ph/0006373]
47. C. Deffayet, O. Pujolàs, I. Sawicki and A. Vikman, 2010 Imperfect Dark Energy from Kinetic Gravity Braiding J. Cosmol. Astropart. Phys. 2010 10 026 [1008.0048]
48. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2010 G-inflation: Inflation driven by the Galileon field, Phys. Rev. Lett. 105 231302 [1008.0603]
49. O. Pujolàs, I. Sawicki and A. Vikman, 2011 The Imperfect Fluid behind Kinetic Gravity Braiding J. High Energy Phys. JHEP11(2011)156 [1103.5360]
50. A. Nicolis, R. Rattazzi and E. Trincherini, 2009 The Galileon as a local modification of gravity, Phys. Rev. D 79 064036 [0811.2197]
51. 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]
52. S.M. Carroll, A. De Felice, V. Duvvuri, D.A. Easson, M. Trodden and M.S. Turner, 2005 The Cosmology of generalized modified gravity models, Phys. Rev. D 71 063513 [astro-ph/0410031]
53. G.R. Dvali, G. Gabadadze and M. Porrati, 2000 4D gravity on a brane in 5D Minkowski space, Phys. Lett. B 485 208 [hep-th/0005016]
54. C. de Rham and G. Gabadadze, 2010 Generalization of the Fierz-Pauli Action, Phys. Rev. D 82 044020 [1007.0443]
55. C. de Rham, G. Gabadadze and A.J. Tolley, 2011 Resummation of Massive Gravity, Phys. Rev. Lett. 106 231101 [1011.1232]
56. S.F. Hassan, R.A. Rosen and A. Schmidt-May, 2012 Ghost-free Massive Gravity with a General Reference Metric J. High Energy Phys. JHEP02(2012)026 [1109.3230]
57. N. Chow and J. Khoury, 2009 Galileon Cosmology, Phys. Rev. D 80 024037 [0905.1325]
58. C. de Rham and L. Heisenberg, 2011 Cosmology of the Galileon from Massive Gravity, Phys. Rev. D 84 043503 [1106.3312]
59. L. Heisenberg, R. Kimura and K. Yamamoto, 2014 Cosmology of the proxy theory to massive gravity, Phys. Rev. D 89 103008 [1403.2049]
60. J. Gleyzes, D. Langlois, F. Piazza and F. Vernizzi, Healthy theories beyond Horndeski, [1404.6495]
61. M. Zumalacárregui and J. García-Bellido, 2014 Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian, Phys. Rev. D 89 064046 [1308.4685]
62. L. Amendola, 2000 Coupled quintessence, Phys. Rev. D 62 043511 [astro-ph/9908023]
63. T.S. Koivisto, D.F. Mota and M. Zumalacárregui, 2012 Screening Modifications of Gravity through Disformally Coupled Fields, Phys. Rev. Lett. 109 241102 [1205.3167]
64. M. Zumalacárregui, T.S. Koivisto and D.F. Mota, 2013 DBI Galileons in the Einstein Frame: Local Gravity and Cosmology, Phys. Rev. D 87 083010 [1210.8016]
65. P. Hořava, 2009 Quantum Gravity at a Lifshitz Point, Phys. Rev. D 79 084008 [0901.3775]
66. D. Blas, O. Pujolàs and S. Sibiryakov, 2010 Consistent Extension of Hořava Gravity, Phys. Rev. Lett. 104 181302 [0909.3525]
67. J.-S. Gagnon and J. Lesgourgues, 2011 Dark goo: Bulk viscosity as an alternative to dark energy J. Cosmol. Astropart. Phys. 2011 09 026 [1107.1503]
68. C.-P. Ma and E. Bertschinger, 1995 Cosmological perturbation theory in the synchronous and conformal Newtonian gauges, Astrophys. J. 455 7 [astro-ph/9506072]
69. A. Barreira, B. Li, C.M. Baugh and S. Pascoli, 2012 Linear perturbations in Galileon gravity models, Phys. Rev. D 86 124016 [1208.0600]
70. M.A. Amin, P. Zukin and E. Bertschinger, 2012 Scale-Dependent Growth from a Transition in Dark Energy Dynamics, Phys. Rev. D 85 103510 [1108.1793]
71. N. Afshordi, D.J.H. Chung and G. Geshnizjani, 2007 Cuscuton: A Causal Field Theory with an Infinite Speed of Sound, Phys. Rev. D 75 083513 [hep-th/0609150]
72. 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]
73. S.M. Carroll, I. Sawicki, A. Silvestri and M. Trodden, 2006 Modified-Source Gravity and Cosmological Structure Formation, New J. Phys. 8 323 [astro-ph/0607458]
74. D.N. Vollick, 2003 1/R Curvature corrections as the source of the cosmological acceleration, Phys. Rev. D 68 063510 [astro-ph/0306630]
75. A. De Felice, D.F. Mota and S. Tsujikawa, 2010 Matter instabilities in general Gauss-Bonnet gravity, Phys. Rev. D 81 023532 [0911.1811]
76. T. Kobayashi, M. Yamaguchi and J. Yokoyama, 2011 Generalized G-inflation: Inflation with the most general second-order field equations, Prog. Theor. Phys. 126 511 [1105.5723]
77. A. De Felice and S. Tsujikawa, 2010 Cosmology of a covariant Galileon field, Phys. Rev. Lett. 105 111301 [1007.2700]
78. P. Brax and P. Valageas, K-mouflage Cosmology: the Background Evolution, [1403.5420]
79. 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. 2012 02 007 [1110.3878]
80. D.A. Easson, I. Sawicki and A. Vikman, 2011 G-Bounce J. Cosmol. Astropart. Phys. 2011 11 021 [1109.1047]
81. I. Sawicki and A. Vikman, 2013 Hidden Negative Energies in Strongly Accelerated Universes, Phys. Rev. D 87 067301 [1209.2961]
82. A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, 2006 Causality, analyticity and an IR obstruction to UV completion J. High Energy Phys. JHEP10(2006)014 [hep-th/0602178]
83. D.A. Easson, I. Sawicki and A. Vikman, 2013 When Matter Matters J. Cosmol. Astropart. Phys. 2013 07 014 [1304.3903]
84. 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]
85. 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]
86. G.R. Dvali, G.F. Giudice, C. Gomez and A. Kehagias, 2011 UV-Completion by Classicalization J. High Energy Phys. JHEP08(2011)108 [1010.1415]
87. G.R. Dvali and D. Pirtskhalava, 2011 Dynamics of Unitarization by Classicalization, Phys. Lett. B 699 78 [1011.0114]
88. D. Blas, O. Pujolàs and S. Sibiryakov, 2011 Models of non-relativistic quantum gravity: The Good, the bad and the healthy J. High Energy Phys. JHEP04(2011)018 [1007.3503]
89. 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]
90. BOSS collaboration, L. Anderson et al., 2014 The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples, Mon. Not. Roy. Astron. Soc. 441 24 [1312.4877]
91. SDSS collaboration, M. Betoule et al., 2014 Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples, submitted to Astron. Astrophys. [1401.4064]
92. M. Doran and G. Robbers, 2006 Early dark energy cosmologies J. Cosmol. Astropart. Phys. 2006 06 026 [astro-ph/0601544]
93. C.L. Reichardt, R. de Putter, O. Zahn and Z. Hou, 2012 New limits on Early Dark Energy from the South Pole Telescope, Astrophys. J. 749 L9 [1110.5328]
94. V. Pettorino, L. Amendola and C. Wetterich, 2013 How early is early dark energy?, Phys. Rev. D 87 083009 [1301.5279]
95. Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XVI. Cosmological parameters, [1303.5076]
96. N. Afshordi, D.J.H. Chung, M. Doran and G. Geshnizjani, 2007 Cuscuton Cosmology: Dark Energy meets Modified Gravity, Phys. Rev. D 75 123509 [astro-ph/0702002]
97. A. De Felice and S. Tsujikawa, 2010 f(R) theories, Living Rev. Rel. 13 3 [1002.4928]
98. J.-P. Uzan, 2011 Varying Constants, Gravitation and Cosmology, Living Rev. Rel. 14 2 [1009.5514]
99. C.M. Will, 2014 The Confrontation between General Relativity and Experiment, Living Rev. Rel. 17 4 [1403.7377]
100. K. Yagi, D. Blas, E. Barausse and N. Yunes, 2014 Constraints on Einstein-Æ ther theory and Hořava gravity from binary pulsar observations, Phys. Rev. D 89 084067 [1311.7144]
101. P. Brax, C. Burrage and A.-C. Davis, 2013 Screening fifth forces in k-essence and DBI models J. Cosmol. Astropart. Phys. 2013 01 020 [1209.1293]
102. E. Babichev and C. Deffayet, 2013 An introduction to the Vainshtein mechanism, Class. Quant. Grav. 30 184001 [1304.7240]
103. W. Hu and I. Sawicki, 2007 Models of f(R) Cosmic Acceleration that Evade Solar-System Tests, Phys. Rev. D 76 064004 [0705.1158]
104. G.D. Moore and A.E. Nelson, 2001 Lower bound on the propagation speed of gravity from gravitational Cherenkov radiation J. High Energy Phys. JHEP09(2001)023 [hep-ph/0106220]
105. J.W. Elliott, G.D. Moore and H. Stoica, 2005 Constraining the new Aether: Gravitational Cerenkov radiation J. High Energy Phys. JHEP08(2005)066 [hep-ph/0505211]
106. R. Kimura and K. Yamamoto, 2012 Constraints on general second-order scalar-tensor models from gravitational Cherenkov radiation J. Cosmol. Astropart. Phys. 2012 07 050 [1112.4284]
107. V. Marra, L. Amendola, I. Sawicki and W. Valkenburg, 2013 Cosmic variance and the measurement of the local Hubble parameter, Phys. Rev. Lett. 110 241305 [1303.3121]
108. 0 in the inhomogeneous Universe, Phys. Rev. Lett. 112 221301 [1401.7973]
109. R. Jimenez and A. Loeb, 2002 Constraining cosmological parameters based on relative galaxy ages, Astrophys. J. 573 37 [astro-ph/0106145]
110. J. Simon, L. Verde and R. Jimenez, 2005 Constraints on the redshift dependence of the dark energy potential, Phys. Rev. D 71 123001 [astro-ph/0412269]
111. D. Stern, R. Jimenez, L. Verde, M. Kamionkowski and S.A. Stanford, 2010 Cosmic Chronometers: Constraining the Equation of State of Dark Energy. I: H(z) Measurements J. Cosmol. Astropart. Phys. 2010 02 008 [0907.3149]
112. M. Moresco, R. Jimenez, A. Cimatti and L. Pozzetti, 2011 Constraining the expansion rate of the Universe using low-redshift ellipticals as cosmic chronometers J. Cosmol. Astropart. Phys. 2011 03 045 [1010.0831]
113. E. Bellini and R. Jimenez, 2013 The parameter space of Cubic Galileon models for cosmic acceleration, Phys. Dark Univ. 2 179 [1306.1262]
114. Y. Wang, 2008 Figure of Merit for Dark Energy Constraints from Current Observational Data, Phys. Rev. D 77 123525 [0803.4295]
115. A. Padilla and V. Sivanesan, 2013 Covariant multi-galileons and their generalisation J. High Energy Phys. JHEP04(2013)032 [1210.4026]
116. T. Kobayashi, N. Tanahashi and M. Yamaguchi, 2013 Multifield extension of G inflation, Phys. Rev. D 88 083504 [1308.4798]
117. J.M. Martín-García, http://www.xact.es/
118. J.M. Martín-García, 2008 xPerm: fast index canonicalization for tensor computer algebra, Comput. Phys. Commun. 179 597 [0803.0862]
119. D. Brizuela, J.M. Martín-García and G.A. Mena Marugan, 2009 xPert: Computer algebra for metric perturbation theory, Gen. Rel. Grav. 41 2415 [0807.0824]