Spherically symmetric solutions in Macroscopic Gravity

General Relativity and Gravitation

Volumn 40, Issue 10, 2008, Pages 2213-2227

  Van Den Hoogen, R J ^a  

^a ST FRANCIS XAVIER UNIVERSITY   (Canada)

Author keywords

Averaging in general relativity; Dark matter; Macroscopic Gravity

Indexed keywords

EID: 52549098316     PISSN: 00017701     EISSN: 15729532     Source Type: Journal    
DOI: 10.1007/s10714-008-0628-2     Document Type: Article

References (49)

1. Will C.M. (1993). Theory and Experiment in Gravitational Physics (Revised Edition). Cambridge University Press, Cambridge
2. S. Perlmutter 1999 Astrophys. J. 517 565
3. A.G. Reiss 1998 Astrophys. J. 116 1009
4. V.C. Rubin 1983 Science 220 1339
5. V.C. Rubin W.K. Ford N. Thonnard 1980 Astrophys. J. 238 471
6. V.C. Rubin W.K. Ford N. Thonnard D. Burstein 1982 Astrophys. J. 261 439
7. V.C. Rubin D. Burstein W.K. Ford N. Thonnard 1985 Astrophys. J. 289 81
8. Y. Sofue V.C. Rubin 2001 Ann. Revs. Astron. Astrophys. 39 137
9. A. Borriello P. Salucci 2001 Mon. Not. Royal Astron. Soc. 323 285
10. M. Persic P. Salucci F. Stel 1996 Mon. Not. R. Astron. Soc. 281 27
11. L. Bergström 2000 Rep. Prog. Phys. 63 793
12. J.P. Ostriker P.J.E. Peebles 1973 Astrophys. J. 186 467
13. S. Tremaine 1992 Phys. Today 45 28 36
14. Ellis, G.F.R.: In: Bertotti, B., de Felice, F., Pascolini, A. (eds.) General Relativity and Gravitation, p. 215. Reidel, Dordrecht (1984)
15. G.F.R. Ellis W. Stoeger 1987 Class. Q. Grav. 4 1697
16. R.M. Zalaletdinov 1992 Gen. Rel. Grav. 24 1015 1031
17. R.M. Zalaletdinov 1993 Gen. Rel. Grav. 25 673
18. R.M. Zalaletdinov 1997 Bull. Astron. Soc. India 25 401
19. Zalaletdinov, R.M.: Int. J Mod. Phys. A, to appear (2008), preprint arXiv:gr-qc/0801.3256
20. Zalaletdinov, R.M.: Averaging Problem in Cosmology and Macroscopic Gravity. preprint arXiv:gr-qc/0701116
21. Krasiński A. (1997). Inhomogeneous Cosmological Models. Cambridge University Press, Cambridge
22. M.F. Shirokov I.Z. Fisher 1963 Sov. Astron. J. 6 699
23. Shirokov, M.F., Fisher, I.Z.: Gen. Rel. Grav. 30, 1411-1427 (1998) (Reprinted)
24. T.W. Noonan 1984 Gen. Rel. Grav. 16 1103
25. T.W. Noonan 1985 Gen. Rel. Grav. 17 535
26. R.A. Isaacson 1968 Phys. Rev. 166 1263
27. R.A. Isaacson 1968 Phys. Rev. 166 1272
28. T. Futamase 1988 Phys. Rev. Lett. 61 2175
29. T. Futamase 1996 Phys. Rev. D 53 681
30. S. Bildhauer T. Futamase 1991 Gen. Rel. Grav. 23 1251 1264
31. N.V. Zotov W. Stoeger 1992 Class. Q. Grav. 9 1023
32. M. Kasai 1993 Phys. Rev. D 47 3214
33. J.P. Boersma 1998 Phys. Rev. D 57 798
34. T. Buchert 2000 Gen. Rel. Grav. 32 105 125
35. T. Buchert 2001 Gen. Rel. Grav. 33 1381 1405
36. A. Paranjape T.P. Singh 2007 Phys. Rev. D 76 044006
37. Paranjape, A.: A Covariant Road to Spatial Averaging in Cosmology: Scalar Corrections to the Cosmological Equations. Preprint gr-qc/0705238 (2007)
38. A.A. Coley N. Pelavas R.M. Zalaletdinov 2005 Phys. Rev. Lett. 95 151102
39. A.A. Coley N. Pelavas 2006 Phys. Rev. D 74 087301
40. A.A. Coley N. Pelavas 2007 Phys. Rev. D 75 043506
41. Plebański J. and Krasińki A. (2006). An Introduction to General Relativity and Cosmology. Cambridge University Press, Cambridge
42. van den Hoogen, R.J., Zalaletdinov, R.M.: (2006) [in preparation]
43. Zalaletdinov, R.M.: private communication
44. Hawking S.W. and Ellis G.F.R. (1973). The Large Scale Structure of Space-time. Cambridge University Press, Cambridge
45. K. Lake 2004 Phys. Rev. Lett. 92 051101
46. S. Bharadwaj S. Kar 2003 Phys. Rev. D 68 023516
47. U. Nucamendi M. Salgado D. Sudarsky 2001 Phys. Rev. D 63 125016
48. Zalaletdinov R. and Hoogen R.J. (2007). The MG Eqs Code [A computer algebra code for generation and manipulation with the equations of Macroscopic Gravity]. St. Francis Xavier University, Canada
49. GRTensorII is a software package that runs within MAPLE. It is distributed freely at http://grtensor.org