Limits on the detectability of cosmic topology in hyperbolic universes

International Journal of Modern Physics A

Volumn 17, Issue 29, 2002, Pages 4261-4271

  Gomero, G I ^a   Reboucas M J ^a   Tavakol, R ^b  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Cosmic topology; FLRW universes; Hyperbolic universes

Indexed keywords

CALCULATION; CONFERENCE PAPER; COSMOS; DENSITY; MATHEMATICAL ANALYSIS; PHYSICS;

EID: 0037146012     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X02013307     Document Type: Conference Paper

References (54)

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18. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
19. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
20. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
21. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
22. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
23. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
24. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
25. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
26. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
27. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
28. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
29. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
30. G.F.R. Ellis, Gen. Rel. Grav. 2, 7 (1971); D.D. Sokolov and V.F. Shvartsman, Sov. Phys. JETP 39, 196 (1974); G.F.R. Ellis and G. Schreiber, Phys. Lett. A115, 97 (1986); R. Lehoucq, M. Lachièze-Rey and J.-P. Luminet, Astron. Astrophys. 313, 339 (1996); B.F. Roukema, Mon. Not. R. Astron. Soc. 283, 1147 (1996); G.F.R. Ellis and R. Tavakol, Class. Quantum Grav. 11, 675 (1994); J.J. Levin, J.D. Barrow and J. Silk, Phys. Rev. Lett. 79, 974 (1997); N.J. Cornish, D.N. Spergel and G.D. Starkman, Class. Quantum Grav. 15, 2657 (1998); Phys. Rev. D57, 5982 (1998); J.J. Levin, E. Scannapieco and J. Silk, Phys. Rev. D58, 103516 (1998); Class. Quantum Grav. 15, 2689 (1998); J.-P. Uzan, R. Lehoucq and J.-P. Luminet, Astron. Astrophys. 351, 776 (1999); H.V. Fagundes and E. Gausmann, Phys. Lett. A261, 235 (1999); R. Aurich, Astrophys. J. 524, 497 (1999); J.R. Bond, D. Pogosyan and T. Souradeep, Phys. Rev. D62, 043005 (2000); Phys. Rev. D62, 043006 (2000); G.I. Gomero, M.J. Rebouças and A.F.F. Teixeira, Phys. Lett. A275, 355 (2000); Int. J. Mod. Phys. D9, 687 (2000); Class. Quantum Grav. 18, 1885 (2001); M.J. Rebouças, Int. J. Mod. Phys. D9, 561 (2000); G.I. Gomero, A.F.F. Teixeira, M.J. Rebouças and A. Bernui, Int. J. Mod. Phys. D (2002) to appear; gr-qc/9811038; G.I. Gomero and M.J. Rebouqas, gr-qc/0203094 (2002); R. Aurich and F. Steiner, Mont. Not. Roy. Astron. Soc. 323, 1016 (2001).
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