Nonlinear cosmological consistency relations and effective matter stresses

Journal of Cosmology and Astroparticle Physics

Volumn 2012, Issue 5, 2012, Pages

  Ballesteros, Guillermo ^a,b,c   Hollenstein, Lukas ^d   Jain, Rajeev Kumar ^d   Kunz, Martin ^d  

^a MUSEO STORICO DELLA FISICA E CENTRO STUDI E RICERCHE ENRICO FERMI   (Italy)

^b UNIVERSITY OF PADOVA   (Italy)

^c SEZIONE DI PADOVA   (Italy)

^d UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

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

Indexed keywords

EID: 84861816101     PISSN: None     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2012/05/038     Document Type: Article

References (101)

1. Supernova Search Team collaboration, A.G. Riess et al., 1998 Observational evidence from supernovae for an accelerating universe and a cosmological constant, Astron. J. 116 1009 [astro-ph/9805201]
2. Supernova Cosmology Project collaboration, S. Perlmutter et al., 1999 Measurements of Ω and Λ from 42 high redshift supernovae, Astrophys. J. 517 565 [astro-ph/9812133]
3. WMAP collaboration, E. Komatsu et al., 2011 Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: cosmological interpretation, Astrophys. J. Suppl. 192 18 [1001.4538]
4. N. Suzuki et al., 2012 The Hubble Space Telescope Cluster Supernova Survey: V. Improving the dark energy constraints above z > 1 and building an early-type-hosted supernova sample, Astrophys. J. 746 85 [1105.3470]
5. B.D. Sherwin et al., 2011 Evidence for dark energy from the cosmic microwave background alone using the Atacama Cosmology Telescope lensing measurements, Phys. Rev. Lett. 107 021302 [1105.0419]
6. J.M. Bardeen, 1980 Gauge invariant cosmological perturbations, Phys. Rev. D 22 1882
7. H. Kodama and M. Sasaki, 1984 Cosmological perturbation theory, Prog. Theor. Phys. Suppl. 78 1
8. V.F. Mukhanov, H. Feldman and R.H. Brandenberger, 1992 Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions, Phys. Rept. 215 203
9. R. Durrer, 1994 Gauge invariant cosmological perturbation theory: a general study and its application to the texture scenario of structure formation, Fund. Cosmic Phys. 15 209 [astro-ph/9311041]
10. C.-P. Ma and E. Bertschinger, 1995 Cosmological perturbation theory in the synchronous and conformal Newtonian gauges, Astrophys. J. 455 7 [astro-ph/9506072]
11. F. Bernardeau, S. Colombi, E. Gaztanaga and R. Scoccimarro, 2002 Large scale structure of the universe and cosmological perturbation theory, Phys. Rept. 367 1 [astro-ph/0112551]
12. R. Bean and M. Tangmatitham, 2010 Current constraints on the cosmic growth history, Phys. Rev. D 81 083534 [1002.4197]
13. G.-B. Zhao et al., 2010 Probing modifications of general relativity using current cosmological observations, Phys. Rev. D 81 103510 [1003.0001]
14. C. Wetterich, 1988 Cosmology and the fate of dilatation symmetry, Nucl. Phys. B 302 668
15. B. Ratra and P. Peebles, 1988 Cosmological consequences of a rolling homogeneous scalar field, Phys. Rev. D 37 3406
16. C. Armendariz-Picon, T. Damour and V.F. Mukhanov, 1999 k-inflation, Phys. Lett. B 458 209 [hep-th/9904075]
17. 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]
18. C. Deffayet, G. Dvali and G. Gabadadze, 2002 Accelerated universe from gravity leaking to extra dimensions, Phys. Rev. D 65 044023 [astro-ph/0105068]
19. E.J. Copeland, M. Sami and S. Tsujikawa, 2006 Dynamics of dark energy, Int. J. Mod. Phys. D 15 1753 [hep-th/0603057]
20. R. Durrer and R. Maartens, 2010 Dark energy and modified gravity, in Dark energy: observational & theoretical approaches, P. Ruiz-Lapuente ed., Cambridge University Press, Cambridge U.K., pp. 48-91 [0811.4132]
21. S. Tsujikawa, 2010 Modified gravity models of dark energy, Lect. Notes Phys. 800 99 [1101.0191]
22. T. Clifton, P.G. Ferreira, A. Padilla and C. Skordis, 2012 Modified gravity and cosmology, Phys. Rept. 513 1 [1106.2476]
23. S. Capozziello and M. De Laurentis, 2011 Extended theories of gravity, Phys. Rept. 509 167 [1108.6266]
24. M. Kunz, The phenomenological approach to modeling the dark energy, [1204.5482]
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), JCAP 04 013 [0704.2421]
27. W. Hu and I. Sawicki, 2007 A parameterized post-Friedmann framework for modified gravity, Phys. Rev. D 76 104043 [0708.1190]
28. Y.-S. Song and K. Koyama, 2009 Consistency test of general relativity from large scale structure of the universe J. Cosmol. Astropart. Phys. JCAP01(2009)048 [0802.3897]
29. E. Bertschinger and P. Zukin, 2008 Distinguishing modified gravity from dark energy, Phys. Rev. D 78 024015 [0801.2431]
30. Y.-S. Song, L. Hollenstein, G. Caldera-Cabral and K. Koyama, 2010 Theoretical priors on modified growth parametrisations J. Cosmol. Astropart. Phys. JCAP04(2010)018 [1001.0969]
31. 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]
32. S.F. Daniel and E.V. Linder, 2010 Confronting general relativity with further cosmological data, Phys. Rev. D 82 103523 [1008.0397]
33. Y.-S. Song et al., 2011 Complementarity of weak lensing and peculiar velocity measurements in testing general relativity, Phys. Rev. D 84 083523 [1011.2106]
34. A. Hojjati, L. Pogosian and G.-B. Zhao, 2011 Testing gravity with CAMB and CosmoMC, JCAP 08 005 [1106.4543]
35. G.-B. Zhao et al., Testing Einstein gravity with cosmic growth and expansion, [1109.1846]
36. J. Dossett, J. Moldenhauer and M. Ishak, 2011 Figures of merit and constraints from testing general relativity using the latest cosmological data sets including refined COSMOS 3D weak lensing, Phys. Rev. D 84 023012 [1103.1195]
37. J.N. Dossett, M. Ishak and J. Moldenhauer, 2011 Testing general relativity at cosmological scales: implementation and parameter correlations, Phys. Rev. D 84 123001 [1109.4583]
38. 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]
39. J. Zuntz, T. Baker, P. Ferreira and C. Skordis, Ambiguous tests of general relativity on cosmological scales, [1110.3830]
40. D. Huterer and E.V. Linder, 2007 Separating dark physics from physical darkness: minimalist modified gravity vs. dark energy, Phys. Rev. D 75 023519 [astro-ph/0608681]
41. Y.-S. Song and O. Dore, 2009 A step towards testing general relativity using weak gravitational lensing and redshift surveys J. Cosmol. Astropart. Phys. JCAP03(2009)025 [0812.0002]
42. G.F.R. Ellis, 2009 Relativistic cosmology, Gen. Rel. Grav. 41 581
43. G.F.R. Ellis, 1971 Proc. Int. Sch. Phys. Fermi 47 104
44. G.F.R. Ellis and M. Bruni, 1989 Covariant and gauge invariant approach to cosmological density fluctuations, Phys. Rev. D 40 1804
45. M. Bruni, P.K. Dunsby and G.F.R. Ellis, 1992 Cosmological perturbations and the physical meaning of gauge invariant variables, Astrophys. J. 395 34
46. J. Ehlers, 1993 Contributions to the relativistic mechanics of continuous media, Gen. Rel. Grav. 25 1225
47. R. Maartens, T. Gebbie and G.F.R. Ellis, 1999 Covariant cosmic microwave background anisotropies: nonlinear dynamics, Phys. Rev. D 59 083506 [astro-ph/9808163]
48. C. Clarkson and R. Maartens, 2010 Inhomogeneity and the foundations of concordance cosmology, Class. Quant. Grav. 27 124008 [1005.2165]
49. J.-C. Hwang and H. Noh, 2005 Second order perturbations of a zero-pressure cosmological medium: proofs of the relativistic-Newtonian correspondence, Phys. Rev. D 72 044011 [gr-qc/0412128]
50. J.-C. Hwang and H. Noh, 2006 Second-order perturbations of a zero-pressure cosmological medium: comoving vs. synchronous gauge, Phys. Rev. D 73 044021 [astro-ph/0601041]
51. E. Villa, S. Matarrese and D. Maino, 2011 Post-Newtonian cosmological dynamics of plane-parallel perturbations and back-reaction J. Cosmol. Astropart. Phys. JCAP08(2011)024 [1105.1975]
52. R. Maartens, 1998 Covariant velocity and density perturbations in quasiNewtonian cosmologies, Phys. Rev. D 58 124006 [astro-ph/9808235]
53. H. van Elst and G.F.R. Ellis, 1998 QuasiNewtonian dust cosmologies, Class. Quant. Grav. 15 3545 [gr-qc/9805087]
54. R.L. Arnowitt, S. Deser and C.W. Misner, 1962 The dynamics of general relativity, in Gravitation: an introduction to current research, L. Witten ed., John Wiley & Sons, New York London, pp. 227-265 [gr-qc/0405109]
55. K.A. Malik and D. Wands, 2009 Cosmological perturbations, Phys. Rept. 475 1 [0809.4944]
56. N.E. Chisari and M. Zaldarriaga, 2011 Connection between Newtonian simulations and general relativity, Phys. Rev. D 83 123505 [Erratum ibid D 84 (2011) 089901] [1101.3555]
57. S.R. Green and R.M. Wald, 2012 Newtonian and relativistic cosmologies, Phys. Rev. D 85 063512 [1111.2997]
58. M. Kunz, 2009 The dark degeneracy: on the number and nature of dark components, Phys. Rev. D 80 123001 [astro-ph/0702615]
59. J. Stewart and M. Walker, 1974 Perturbations of spacetimes in general relativity, Proc. Roy. Soc. Lond. A 341 49
60. R. Durrer, 2008 The cosmic microwave background, Cambridge University Press, Cambridge U.K.
61. A. Lewis and A. Challinor, Code for Anisotropies in the Microwave Background (CAMB), publicly available CMB-Boltzmann code at http://www.camb. info/
62. A. Lewis, A. Challinor and A. Lasenby, 2000 Efficient computation of CMB anisotropies in closed FRW models, Astrophys. J. 538 473 [astro-ph/9911177]
63. M. Crocce and R. Scoccimarro, 2006 Renormalized cosmological perturbation theory, Phys. Rev. D 73 063519 [astro-ph/0509418]
64. M. Pietroni, 2008 Flowing with time: a new approach to nonlinear cosmological perturbations, JCAP 10 036 [0806.0971]
65. D. Baumann, A. Nicolis, L. Senatore and M. Zaldarriaga, Cosmological non-linearities as an effective fluid, [1004.2488]
66. R. Bean and O. Dore, 2004 Probing dark energy perturbations: the dark energy equation of state and speed of sound as measured by WMAP, Phys. Rev. D 69 083503 [astro-ph/0307100]
67. M. Takada, 2006 Can a galaxy redshift survey measure dark energy clustering?, Phys. Rev. D 74 043505 [astro-ph/0606533]
68. M. Kunz and D. Sapone, 2007 Dark energy versus modified gravity, Phys. Rev. Lett. 98 121301 [astro-ph/0612452]
69. G. Ballesteros and A. Riotto, 2008 Parameterizing the effect of dark energy perturbations on the growth of structures, Phys. Lett. B 668 171 [0807.3343]
70. D. Sapone, M. Kunz and M. Kunz, 2009 Fingerprinting dark energy, Phys. Rev. D 80 083519 [0909.0007]
71. R. de Putter, D. Huterer and E.V. Linder, 2010 Measuring the speed of dark: detecting dark energy perturbations, Phys. Rev. D 81 103513 [1002.1311]
72. G. Ballesteros and J. Lesgourgues, 2010 Dark energy with non-adiabatic sound speed: initial conditions and detectability J. Cosmol. Astropart. Phys. JCAP10(2010)014 [1004.5509]
73. 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]
74. E. Sefusatti and F. Vernizzi, 2011 Cosmological structure formation with clustering quintessence J. Cosmol. Astropart. Phys. JCAP03(2011)047 [1101.1026]
75. S. Anselmi, G. Ballesteros and M. Pietroni, 2011 Non-linear dark energy clustering, JCAP 11 014 [1106.0834]
76. G. D'Amico and E. Sefusatti, 2011 The nonlinear power spectrum in clustering quintessence cosmologies J. Cosmol. Astropart. Phys. JCAP11(2011)013 [1106.0314]
77. Y. Ayaita, B.M. Schaefer and M. Weber, Investigating clustering dark energy with 3d weak cosmic shear, [1110.1985]
78. W. Hu, 1998 Structure formation with generalized dark matter, Astrophys. J. 506 485 [astro-ph/9801234]
79. I.D. Saltas and M. Kunz, 2011 Anisotropic stress and stability in modified gravity models, Phys. Rev. D 83 064042 [1012.3171]
80. E. Bertschinger, 2011 One gravitational potential or two? Forecasts and tests, Phil. Trans. Roy. Soc. Lond. A 369 4947 [1111.4659]
81. 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]
82. A. Nicolis and R. Rattazzi, 2004 Classical and quantum consistency of the DGP model, JHEP 06 059 [hep-th/0404159]
83. T.M. Davis et al., 2007 Scrutinizing exotic cosmological models using ESSENCE supernova data combined with other cosmological probes, Astrophys. J. 666 716 [astro-ph/0701510]
84. L. Lombriser, W. Hu, W. Fang and U. Seljak, 2009 Cosmological constraints on DGP braneworld gravity with brane tension, Phys. Rev. D 80 063536 [0905.1112]
85. R. Maartens and E. Majerotto, 2006 Observational constraints on self-accelerating cosmology, Phys. Rev. D 74 023004 [astro-ph/0603353]
86. K. Koyama and R. Maartens, 2006 Structure formation in the DGP cosmological model, JCAP 01 016 [astro-ph/0511634]
87. A. Vainshtein, 1972 To the problem of nonvanishing gravitation mass, Phys. Lett. B 39 393
88. J. Khoury and A. Weltman, 2004 Chameleon fields: awaiting surprises for tests of gravity in space, Phys. Rev. Lett. 93 171104 [astro-ph/0309300]
89. M. Pietroni, 2005 Dark energy condensation, Phys. Rev. D 72 043535 [astro-ph/0505615]
90. A. Lue and G. Starkman, 2003 Gravitational leakage into extra dimensions: probing dark energy using local gravity, Phys. Rev. D 67 064002 [astro-ph/0212083]
91. A. Lue, R. Scoccimarro and G.D. Starkman, 2004 Probing Newton's constant on vast scales: DGP gravity, cosmic acceleration and large scale structure, Phys. Rev. D 69 124015 [astro-ph/0401515]
92. K. Koyama and F.P. Silva, 2007 Non-linear interactions in a cosmological background in the DGP braneworld, Phys. Rev. D 75 084040 [hep-th/0702169]
93. Euclid Consortium collaboration, R. Laureijs et al., Euclid definition study report, [1110.3193]
94. U.-L. Pen, 2004 Beating lensing cosmic variance with galaxy tomography, Mon. Not. Roy. Astron. Soc. 350 1445 [astro-ph/0402008]
95. E. Gaztanaga et al., Cross-correlation of spectroscopic and photometric galaxy surveys: cosmology from lensing and redshift distortions, [1109.4852]
96. J. Yoo, 2010 General relativistic description of the observed galaxy power spectrum: do we understand what we measure?, Phys. Rev. D 82 083508 [1009.3021]
97. A. Challinor and A. Lewis, 2011 The linear power spectrum of observed source number counts, Phys. Rev. D 84 043516 [1105.5292]
98. C. Bonvin and R. Durrer, 2011 What galaxy surveys really measure, Phys. Rev. D 84 063505 [1105.5280]
99. D. Jeong, F. Schmidt and C.M. Hirata, 2012 Large-scale clustering of galaxies in general relativity, Phys. Rev. D 85 023504 [1107.5427]
100. V. Acquaviva, N. Bartolo, S. Matarrese and A. Riotto, 2003 Second order cosmological perturbations from inflation, Nucl. Phys. B 667 119 [astro-ph/0209156]
101. F. Vernizzi, 2005 On the conservation of second-order cosmological perturbations in a scalar field dominated universe, Phys. Rev. D 71 061301 [astro-ph/0411463]