Back-reaction and effective acceleration in generic LTB dust models

Classical and Quantum Gravity

Volumn 28, Issue 23, 2011, Pages

  Sussman, Roberto A ^a  

^a INSTITUTO DE CIENCIAS NUCLEARES   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 81255200316     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/28/23/235002     Document Type: Article

References (104)

1. Amendola L and Tsujikawa S 2009 Dark Energy, Theory and Observations (Cambridge: Cambridge University Press)
2. Celerìr M N 2007 New Adv. Phys. 1 29
3. Wiltshire D 2007 New J. Phys. 9 377
4. Leith B M, Ng S G C and Wiltshire D 2008 Astrophys. J. 672 L914
5. Buchert T 2008 Gen. Rel. Grav. 40 467527
6. Buchert T and Carfora M 2008 Class. Quantum Grav. 25 195001
7. Clarkson C and Maartens R 2010 Class. Quantum Grav. 27 124008
8. Wiltshire D 2011 Class. Quantum Grav. 28 164006
9. Ellis G F R 2011 Class. Quantum Grav. 28 164001
10. Clarkson C et al 2011 Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology Phys. Rep. at press (arXiv:1109.2314 [gr-qc])
11. Pascual-Snchez J F 1999 Mod. Phys. Lett. A 14 1539
12. Sugiura N K and Harada T 1999 Phys. Rev. D 60 103508
13. Celerìr M N 2000 Astron. Astrophys. 353 63 (available at http://aa.springer.de/bibs/0353001/2300063/small.htm)
14. Tomita K 2001 Mon. Not. R. Astron. Soc. 326 287
15. Iguchi H, Nakamura T and Nakao K 2002 Prog. Theor. Phys. 108 809
16. Schwarz D J 2002 Accelerated expansion without dark energy arXiv:astro-ph/0209584v2
17. Moffat J W 2006 J. Cosmol. Astropart. Phys. JCAP05(2006)001
18. Apostolopoulos P 2006 J. Cosmol. Astropart. Phys. JCAP06(2006)009
19. Kai T, Kozaki H, Nakao K, Nambu Y and Yoo C M 2007 Prog. Theor. Phys. 117 22940
20. Mattsson T and Ronkainen M 2008 J. Cosmol. Astropart. Phys. JCAP02(2008)004
21. Bolejko K and Andersson L 2008 J. Cosmol. Astropart. Phys. JCAP10(2008)003
22. Enqvist K and Mattsson T 2007 J. Cosmol. Astropart. Phys. JCAP02(2007)019
23. Kolb E W, Matarrese S, Notari A and Riotto A 2005 Phys. Rev. D 71 023524
24. Marra V, Kolb E W and Matarrese S 2008 Phys. Rev. D 77 023003
25. Marra V, Kolb E W, Matarrese S and Riotto A 2007 Phys. Rev. D 76 123004
26. Garca-Bellido J and Troels H 2008 J. Cosmol. Astropart. Phys. JCAP04(2008)003
27. Alnes H, Amazguioui M and Gron O 2006 Phys. Rev. D 73 083519
28. Alnes H and Amazguioui M 2006 Phys. Rev. D 74 103520
29. Alnes H and Amazguioui M 2006 Phys. Rev. D 75 023506
30. Mattsson T 2010 Gen. Rel. Grav. 42 56799
31. Enqvist K 2008 Gen. Rel. Grav. 40 45166
32. February S, Larena J, Smith M and Clarkson C 2010 Mon. Not. R. Astron. Soc. 405 2231
33. Biswas T and Notari A 2008 J. Cosmol. Astropart. Phys. JCAP06(2008)021
34. Biswas T, Notari A and Valkenburg W 2010 J. Cosmol. Astropart. Phys. JCAP11(2010)030
35. Alexander S, Biswas T, Notari A and Vaid D 2009 J. Cosmol. Astropart. Phys. JCAP09(2009)025
36. Lemàtre G 1933 Ann. Soc. Sci. Brux. A 53 51
37. See reprint in Lemàtre G 1997 Gen. Rel. Grav. 29 5
38. Tolman R C 1934 Proc. Natl Acad. Sci. 20 169
39. Bondi H 1947 Mon. Not. R. Astron. Soc. 107 410
40. Krasinski A 1998 Inhomogeneous Cosmological Models (Cambridge: Cambridge University Press)
41. Plebaski J and Krasiski A 2006 An Introduction to General Relativity and Cosmology (Cambridge: Cambridge University Press)
42. Krasiski A and Hellaby C 2002 Phys. Rev. D 65 023501
43. Krasiski A and Hellaby C 2004 Phys. Rev. D 69 023502
44. Krasiski A and Hellaby C 2004 Phys. Rev. D 69 043502
45. Hellaby C and Krasiski A 2006 Phys. Rev. D 73 023518
46. Matravers D R and Humphreys N P 2001 Gen. Rel. Grav. 33 53152
47. Humphreys N P, Maartens R and Matravers D R 1998 Regular spherical dust spacetimes arXiv:gr-qc/9804023v1
48. Sussman R A and Garca-Trujillo L 2002 Class. Quantum Grav. 19 2897925
49. Bolejko K and Sussman R A 2011 Phys. Lett. B 697 26570
50. Buchert T 2000 Gen. Rel. Grav. 32 105
51. Buchert T 2000 Gen. Rel. Grav. 32 30621
52. Buchert T 2001 Gen. Rel. Grav. 33 1381405
53. Ellis G F R and Buchert T 2005 Phys. Lett. A 347 3846
54. Buchert T and Carfora M 2002 Class. Quantum Grav. 19 610945
55. Buchert T 2006 Class. Quantum Grav. 23 819
56. Buchert T, Larena J and Alimi J M 2006 Class. Quantum Grav. 23 6379
57. Buchert T 2005 Class. Quantum Grav. 22 L1139
58. Buchert T 2006 Class. Quantum Grav. 23 81744 (arXiv:gr-qc/0509124)
59. Zalaletdinov R M 2006 Averaging Problem in Cosmology and Macroscopic Gravity Online Proc. of the Atlantic Regional Meeting on General Relativity and Gravitation (Fredericton, NB, Canada, May 2006) ed R J McKellar (arXiv:gr-qc/0701116) (available at http://www.math.unb.ca/atgr/zalalet.pdf)
60. Coley A A and Pelavas N 2007 Phys. Rev. D 75 043506
61. Coley A A, Pelavas N and Zalaletdinov R M 2005 Phys. Rev. Lett. 95 151102
62. Buchert T and Carfora M 2002 Class. Quantum Grav. 19
63. Paranjape A and Singh T P 2008 Gen. Rel. Grav. 40 13957
64. Paranjape A and Singh T P 2007 Phys. Rev. D 76 044006
65. Paranjape A 2008 Int. J. Mod. Phys. D 17 597601
66. Marozzi G 2011 J. Cosmol. Astropart. Phys. JCAP01(2011)012
67. Kolb E W, Matarrese S and Riotto A 2006 New J. Phys. 8 322
68. Larena J, Alimi J M, Buchert T, Kunz M and Corasaniti P S 2009 Phys. Rev. D 79 083011
69. Paranjape A 2008 Phys. Rev. D 78 063522
70. Paranjape A and Singh T P 2008 Phys. Rev. Lett. 101 181101
71. Wald R M and Ishibashi A 2006 Class. Quantum Grav. 23 23550
72. see also Wald R M and Green S R 2011 Phys. Rev. D 83 084020
73. Rsnen S 2006 Class. Quantum Grav. 23 182335
74. Zibin J P, Moss A and Scott D 2008 Phys. Rev. Lett. 101 251303
75. Kolb E W, Marra V and Matarrese S 2008 Phys. Rev. D 78 103002
76. Paranjape A and Singh T P 2006 Class. Quantum Grav. 23 695569
77. Rsnen S 2004 J. Cosmol. Astropart. Phys. JCAP11(2004)010
78. Rsnen S 2006 Int. J. Mod. Phys. D 15 21416
79. Rsnen S 2008 J. Cosmol. Astropart. Phys. JCAP04(2008)026
80. Paranjape A and Singh T P 2008 J. Cosmol. Astropart. Phys. JCAP03(2008)023
81. Bolejko K and Andersson L 2008 J. Cosmol. Astropart. Phys. JCAP10(2008)003
82. Chuang C H, Gu J A and Hwang W Y P 2008 Class. Quantum Grav. 25 175001
83. Mattsson M and Mattsson T 2010 On the role of shear in cosmological averaging arXiv:1007.2939 [astro-ph.CO]
84. see also Mattsson M and Mattsson T 2010 On the role of shear in cosmological averaging: II. Large voids, non-empty voids and a network of different voids arXiv:1012.4008v1 [astro-ph.CO]
85. Sussman R A 2008 On spatial volume averaging in LemàtreTolmanBondi dust models: part I. Back reaction, spacial curvature and binding energy arXiv:0807.1145 [gr-qc]
86. Sussman R A 2010 AIP Conf. Proc. 1241 114655
87. Carr B J 2000 Phys. Rev. D 62 044022
88. Sussman R A 2010 Gen. Rel. Grav. 42 281364
89. Sussman R A 2010 Class. Quantum Grav. 27 175001
90. Sussman R A and Bolejko K 2011 A novel approach to the dynamics of Szereres dust models arXiv:1109.1178v1 [gr-qc]
91. Ellis G F R and Bruni M 1989 Phys. Rev. D 40 1804
92. Ellis G F R and van Elst H 1999 NATO Adv. Study Inst. Ser. C Math. Phys. Sci. 541 1116 (arXiv:gr-qc/9812046v4)
93. Sussman R A 2010 A new approach for doing theoretical and numeric work with LemàtreTolmanBondi dust models arXiv:1001.0904v1
94. Zibin J P 2008 Phys. Rev. D 78 043504
95. Dunsby P et al 2010 J. Cosmol. Astropart. Phys. JCAP06(2010)017
96. Buchert T 2011 Class. Quantum Grav. 28 164007
97. Hellaby C and Lake K 1985 Astrophys. J. 290 381
98. Rsnen S 2010 Phys. Rev. D 81 103512
99. Bolejko K and Wyithe J S B 2009 J. Cosmol. Astropart. Phys. JCAP02(2009)020
100. Clarkson C and Regis M 2011 J. Cosmol. Astropart. Phys. JCAP02(2011)013
101. Larena J, Alimi J M, Buchert T, Kunz M and Corasaniti P S 2009 Phys. Rev. D 79 083011
102. Wiegand A and Buchert T 2019 Phys. Rev. D 82 023523
103. Ellis G F R 1984 General Relativity and Gravitation ed B Bertotti, F de Felice and A Pacolini (Dordrecht: Reidel) pp 21588
104. Clifton T and Ferreira P G 2009 Phys. Rev. D 80 103503