Does the growth of structure affect our dynamical models of the Universe? the averaging, backreaction, and fitting problems in cosmology

Reports on Progress in Physics

Volumn 74, Issue 11, 2011, Pages

  Clarkson, Chris ^a   Ellis, George ^a   Larena, Julien ^a,b   Umeh, Obinna ^a  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

^b RHODES UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80051767714     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/74/11/112901     Document Type: Review

References (138)

1. Buchert T 2000 Gen. Rel. Grav. 32 105 (arXiv:gr-qc/9906015)
2. Buchert T 2001 Gen. Rel. Grav. 33 1381 (arXiv:gr-qc/0102049)
3. Rasanen S 2004 J. Cosmol. Astropart. Phys. JCAP02(2004)003 (arXiv:astro-ph/0311257)
4. Barausse E, Matarrese S and Riotto A 2005 Phys. Rev. D 71 063537 (arXiv:astro-ph/0501152)
5. Kolb E W, Matarrese S and Riotto A 2006 New J. Phys. 8 322 (arXiv:astro-ph/0506534)
6. Rasanen S 2006 J. Cosmol. Astropart. Phys. JCAP11(2006)003 (arXiv:astro-ph/0607626)
7. Kasai M 2007 Prog. Theor. Phys. 117 1067 (arXiv:astro-ph/0703298)
8. Ishibashi A and Wald R M 2006 Class. Quantum. Grav. 23 235 (arXiv:gr-qc/0509108)
9. Flanagan E E 2005 Phys. Rev. D 71 103521 (arXiv:hep-th/0503202)
10. Hirata C M and Seljak U 2005 Phys. Rev. D 72 083501 (arXiv:astro-ph/ 0503582)
11. Geshnizjani G, Chung D J H and Afshordi N 2005 Phys. Rev. D 72 023517 (arXiv:astro-ph/0503553)
12. Bonvin C, Durrer R and Gasperini M 2006 Phys.Rev. D 73 023523 (arXiv:astro-ph/0511183)
13. Bonvin C, Durrer R and Kunz M 2006 Phys. Rev. Lett. 96 191302 (arXiv:astro-ph/0603240)
14. Behrend J, Brown I A and Robbers G 2008 J. Cosmol. Astropart. Phys. JCAP01(2008)013 (arXiv:0710.4964)
15. Kumar N and Flanagan E E 2008 Phys. Rev. D 78 063537 (arXiv:0808.1043)
16. Krasinski A, Hellaby C, Celerier M-N and Bolejko K 2010 Gen. Rel. Grav. 42 2453 (arXiv:0903.4070)
17. Tomita K 2009 arXiv:0906.1325
18. Baumann D, Nicolis A, Senatore L and Zaldarriaga M 2010 arXiv:1004.2488
19. Green S R and Wald R M 2010 arXiv:1011.4920
20. Russ H, Soffel M H, Kasai M and Borner G 1997 Phys. Rev. D 56 2044 (arXiv:astro-ph/9612218)
21. Kolb E W, Matarrese S, Notari A and Riotto A 2005 Phys. Rev. D 71 023524 (arXiv:hep-ph/0409038)
22. Li N and Schwarz D J 2007 Phys. Rev. D 76 083011 (arXiv:gr-qc/0702043)
23. Li N and Schwarz D J 2008 Phys. Rev. D 78 083531 (arXiv:0710.5073)
24. Li N, Seikel M and Schwarz D J 2008 Fortsch. Phys. 56 465 (arXiv:0801.3420)
25. Clarkson C, Ananda K and Larena J 2009 Phys. Rev. D 80 083525 (arXiv:0907.3377)
26. Clarkson C 2010 AIP Conf. Proc. 1241 784 (arXiv:0911.2601)
27. Chung H 2010 arXiv:1009.1333
28. Umeh O, Larena J and Clarkson C 2010 arXiv:1011.3959
29. Wang Y, Spergel D N and Turner E L 1998 Astrophys. J. 498 1 (arXiv:astro-ph/9708014)
30. Shi X-D and Turner M S 1998 Astrophys. J. 493 519 (arXiv:astro-ph/ 9707101)
31. Bolejko K 2011 arXiv:1101.3338
32. Kolb E W 2011 Class. Quantum. Grav. 28 164009
33. Kolb E W, Matarrese S, Notari A and Riotto A 2005 arXiv:hep-th/0503117
34. Wiltshire D L 2009 EAS Publ. Ser. 36 91 (arXiv:0912.5234)
35. Wiltshire D L 2007 New J. Phys. 9 377 (arXiv:gr-qc/0702082)
36. Clarkson C, Ellis G, Faltenbacher A, Maartens R, Umeh O and Uzan J-P 2011 arXiv:1109.2484
37. Abramo L R W, Brandenberger R H and Mukhanov V F 1997 Phys. Rev. D 56 3248 (arXiv:gr-qc/9704037)
38. Calzetta E A, Hu B L and Mazzitelli F D 2001 Phys. Rep. 352 459 (arXiv:hep-th/0102199)
39. Labini F S and Pietronero L 2010 J. Stat. Mech. 2010 11029 (arXiv:1012.5624)
40. Labini F S 2010 Astron. Astrophys. 523 A68 (arXiv:1007.1860)
41. Springel V et al 2005 Nature 435 629 (arXiv:astro-ph/0504097)
42. Ellis G F R and Stoeger W 1987 Class. Quantum. Grav. 4 1697
43. Isaacson R A 1968 Phys. Rev. 166 1272
44. Isaacson R A 1968 Phys. Rev. 166 1263
45. MacCallum M A H and Taub A H 1973 Commun. Math. Phys. 30 153
46. Ellis G F R 1984 General Relativity and Gravitation Conference ed B Bertotti et al (Dordrecht: Reidel) pp 215-88
47. Kristian J and Sachs R K 1966 Astrophys. J. 143 379
48. Ellis G F R and MacCallum M A H 1969 Commun. Math. Phys. 12 108
49. MacCallum M A H and Ellis G F R 1970 Commun. Math. Phys. 19 31
50. Ellis G F R, Nel S D, Maartens R, Stoeger W R and Whitman A P 1985 Phys. Rep. 124 315
51. Clarkson C A 2000 arXiv:astro-ph/0008089
52. Bertortti B 1966 Proc. R. Soc. Lond. A 294 195
53. Dyer C C and Roeder R C 1974 Astrophys. J. 189 167
54. Coley A A 2009 arXiv:0905.2442
55. Rasanen S 2010 J. Cosmol. Astropart. Phys. JCAP03(2010)018 (arXiv:0912.3370)
56. Rasanen S 2009 J. Cosmol. Astropart. Phys. JCAP02(2009)011 (arXiv:0812.2872)
57. Gasperini M, Marozzi G, Nugier F and Veneziano G 2011 arXiv:1104.1167
58. Ellis G F R and Stoeger W R 2009 Mon. Not. R. Astron. Soc. 398 1527 (arXiv:1001.4572)
59. Buchert T 2008 Gen. Rel. Grav. 40 467 (arXiv:0707.2153)
60. Zalaletdinov R M 1997 Bull. Astron. Soc. India 25 401 (arXiv:gr-qc/9703016)
61. Zalaletdinov R 2008 Int. J. Mod. Phys. A 23 1173 (arXiv:0801.3256)
62. Wiltshire D L 2007 Phys. Rev. Lett. 99 251101 (arXiv:0709.0732)
63. Zotov N V and Stoeger W R 1992 Class. Quantum. Grav. 9 1023
64. Zotov N V and Stoeger W R 1992 The effects of averaging Einstein's equations over inhomogeneities 180th ASS Meeting (Bulletin of the American Astronomical Society vol 24) p 822
65. Zotov N V and Stoeger W R 1995 Astrophys. J. 453 574
66. van den Hoogen R J 2010 arXiv:1003.4020
67. Brannlund J, Hoogen R v d and Coley A 2010 Int. J. Mod. Phys. D 19 1915 (arXiv:1003.2014)
68. Carfora M and Piotrkowska K 1995 Phys. Rev. D 52 4393 (arXiv:gr-qc/9502021)
69. Futamase T 1996 Phys. Rev. D 53 681
70. Boersma J P 1998 Phys. Rev. D 57 798 (arXiv:gr-qc/9711057)
71. Stoeger S, William R, Helmi A and Torres D F 2007 Int. J. Mod. Phys. D 16 1001 (arXiv:gr-qc/9904020)
72. Buchert T and Ehlers J 1997 Astron. Astrophys. 320 1 (arXiv:astro-ph/ 9510056)
73. Buchert T 1996 Mapping, Measuring, and Modelling the Universe (Astronomical Society of the Pacific Conference Series vol 94) ed P Coles et al pp 349-55 (arXiv:astro-ph/9512107)
74. Larena J 2009 Phys. Rev. D 79 084006 (arXiv:0902.3159)
75. Gasperini M, Marozzi G and Veneziano G 2010 J. Cosmol. Astropart. Phys. JCAP02(2010)1002 (arXiv:0912.3244)
76. Nambu Y and Tanimoto M 2005 arXiv:gr-qc/0507057
77. Moffat J W 2006 J. Cosmol. Astropart. Phys. JCAP05(2006)001 (arXiv:astro-ph/0505326)
78. Wiegand A and Buchert T 2010 Phys. Rev. D 82 023523 (arXiv:1002.3912)
79. Coley A 2010 Class. Quantum. Grav. 27 245017 (arXiv:0908.4281)
80. Zalaletdinov R 1993 Gen. Rel. Grav. 25 673
81. Zalaletdinov R M 1992 Gen. Rel. Grav. 24 1015
82. Zalaletdinov R 2004 Ann. Eur. Acad. Sci. (arXiv:gr-qc/0411004)
83. van den Hoogen R 2009 J. Math. Phys. 50 082503 (arXiv:0909.0070)
84. Paranjape A and Singh T P 2008 Gen. Rel. Grav. 40 139 (arXiv:astro-ph/0609481)
85. Montani G and Zalaletdinov R 1999 10th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories (Rio de Janeiro, Brazil, 20-26 July 2003) ed T Piran and R Ruffini (Singapore: World Scientific) p 628
86. Coley A A, Pelavas N and Zalaletdinov R M 2005 Phys. Rev. Lett. 95 151102 (arXiv:gr-qc/0504115)
87. Coley A and Pelavas N 2006 Phys. Rev. D 74 087301 (arXiv:astro-ph/ 0606535)
88. Coley A and Pelavas N 2007 Phys. Rev. D 75 043506 (arXiv:gr-qc/0607079)
89. Paranjape A and Singh T 2007 Phys. Rev. D 76 044006 (arXiv:gr-qc/0703106)
90. Paranjape A 2008 Phys. Rev. D 78 063522 (arXiv:0806.2755)
91. Paranjape A and Singh T P 2008 J. Cosmol. Astropart. Phys. JCAP03(2008)023 (arXiv:0801.1546)
92. Buchert T and Carfora M 2002 Class. Quantum. Grav. 19 6109 (arXiv:gr-qc/0210037)
93. Buchert T and Carfora M 2003 Phys. Rev. Lett. 90 031101 (arXiv:gr-qc/0210045)
94. Korzynski M 2010 Class. Quantum. Grav. 27 105015 (arXiv:0908.4593)
95. Wiltshire D L 2008 Phys. Rev. D 78 084032 (arXiv:0809.1183)
96. Wiltshire D L 2009 Phys. Rev. D 80 123512 (arXiv:0909.0749)
97. Leith B M, Ng S C C and Wiltshire D L 2008 Astrophys. J. 672 L91 (arXiv:0709.2535)
98. Mattsson M and Mattsson T 2010 J. Cosmol. Astropart. Phys. JCAP10(2010)021 (arXiv:1007.2939)
99. Mattsson M and Mattsson T 2010 arXiv:1012.4008
100. Einstein A and Straus E G 1945 Rev. Mod. Phys. 17 120
101. Kantowski R 1969 Astrophys. J. 155 89
102. Tomita K 2000 Astrophys. J. 529 38 (arXiv:astro-ph/9906027)
103. Hellaby C and Krasinski A 2006 Phys. Rev. D 73 023518 (arXiv:gr-qc/0510093)
104. Biswas T and Notari A 2007 J. Cosmol. Astropart. Phys. JCAP06(2008)021 (arXiv:astro-ph/0702555)
105. Vanderveld R, Flanagan E E and Wasserman I 2006 Phys. Rev. D 74 023506 (arXiv:astro-ph/0602476)
106. Marra V, Kolb E W, Matarrese S and Riotto A 2007 Phys. Rev. D 76 123004 (arXiv:0708.3622)
107. Marra V, Kolb E W and Matarrese S 2008 Phys.Rev. D 77 023003 (arXiv:0710.5505)
108. Kolb E W, Marra V and Matarrese S 2010 Gen. Rel. Grav. 42 1399 (arXiv:0901.4566)
109. Vanderveld R, Flanagan E E and Wasserman I 2008 Phys. Rev. D 78 083511 (arXiv:0808.1080)
110. Sugiura N, Nakao K-i, Ida D, Sakai N and Ishihara H 2000 Prog. Theor. Phys. 103 73 (arXiv:astro-ph/9912414)
111. Clifton T and Zuntz J 2009 Mon. Not. R. Astron. Soc. 400 2185 (arXiv:0902.0726)
112. Bolejko K and Celerier M-N 2010 Phys. Rev. D 82 103510 (arXiv:1005.2584)
113. Szybka S J 2010 arXiv:1012.5239
114. Bolejko K 2009 Gen. Rel. Grav. 41 1737 (arXiv:0804.1846)
115. Linquist R W and Wheeler J A 1957 Rev. Mod. Phys. 29 432
116. Clifton T 2010 arXiv:1005.0788
117. Clifton T and Ferreira P G 2009 Phys. Rev. D 80 103503 (arXiv:0907.4109)
118. Paranjape A 2009 PhD Thesis Tata Institute of Fundamental Research, Mumbai (arXiv:0906.3165)
119. Rasanen S 2010 Phys. Rev. D 81 103512 (arXiv:1002.4779)
120. Clarkson C and Umeh O 2011 arXiv:1105.1886
121. Noonan T W 1984 Gen. Rel. Grav. 16 1103
122. Noonan T W 1985 Gen. Rel. Grav. 17 535
123. Paranjape A and Singh T 2007 Phys. Rev. D 76 044006 (arXiv:gr-qc/0703106)
124. Brown I A, Robbers G and Behrend J 2009 J. Cosmol. Astropart. Phys. JCAP04(2009)016 (arXiv:0811.4495)
125. Peebles P 2010 AIP Conf. Proc. 1241 175 (arXiv:0910.5142)
126. Bartolo N, Matarrese S and Riotto A 2006 J. Cosmol. Astropart. Phys. JCAP05(2006)010 (arXiv:astro-ph/0512481)
127. Noh H, Jeong D and Hwang J-c 2009 Phys. Rev. Lett. 103 021301 (arXiv:0902.4285)
128. Notari A 2006 Mod. Phys. Lett. A 21 2997 (arXiv:astro-ph/0503715)
129. Crocce M and Scoccimarro R 2006 Phys. Rev. D 73 063519 (arXiv:astro-ph/0509418)
130. Gourgoulhon E and Bonazzola S 1994 Class. Quantum. Grav. 11 443
131. Burnett G A 1989 J. Math. Phys. 30 90
132. Peebles P J E and Ratra B 2003 Rev. Mod. Phys. 75 559 (arXiv:astro-ph/0207347)
133. Wiltshire D L 2011 arXiv:1106.1693
134. Chisari N E and Zaldarriaga M 2011 arXiv:1101.3555
135. Poisson E 2004 Living Rev. Rel. 7 6 (arXiv:gr-qc/0306052)
136. Korzynski M 2010 AIP Conf. Proc. 1241 973 (arXiv:1001.2031)
137. Rasanen S 2004 J. Cosmol. Astropart. Phys. JCAP11(2004)010 (arXiv:gr-qc/0408097)
138. Paranjape A and Singh T P 2006 Class. Quantum. Grav. 23 6955 (arXiv:astro-ph/0605195)