Extended Born-Infeld dynamics and cosmology

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 4, 2005, Pages

  Novello, M ^a   Makler, M ^a,b,c   Werneck, L S ^c   Romero, C A ^d  

^a CENTRO BRASILEIRO DE PESQUISAS FÍSICAS   (Brazil)

^b OBSERVATÓRIO NACIONAL   (Brazil)

^c FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

^d FEDERAL UNIVERSITY OF PARAÍBA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CLUSTER ANALYSIS; COSMOS; DYNAMICS; FLOW KINETICS; GRAVITY; MICROWAVE RADIATION; MODEL; POWER SPECTRUM; STRUCTURE ANALYSIS; THEORY;

EID: 84927713252     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.043515     Document Type: Article

References (100)

1. S. Perlmutter et al., Nature (London) 391, 51 (1998); A. G. Riess et al., Astron. J. 116, 1009 (1998); S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
2. S. Perlmutter et al., Nature (London) 391, 51 (1998); A. G. Riess et al., Astron. J. 116, 1009 (1998); S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
3. S. Perlmutter et al., Nature (London) 391, 51 (1998); A. G. Riess et al., Astron. J. 116, 1009 (1998); S. Perlmutter et al., Astrophys. J. 517, 565 (1999).
4. P. De Bernardis et al., Nature (London) 404, 955 (2000); S. Hanany et al., Astrophys. J. 545, L5 (2000).
5. P. De Bernardis et al., Nature (London) 404, 955 (2000); S. Hanany et al., Astrophys. J. 545, L5 (2000).
6. B. J. Barris et al., Astrophys. J. 602, 571 (2004).
7. A. G. Riess et al., Astrophys. J. 607, 665 (2004).
8. L. M. Krauss, Astrophys. J. 604, 481 (2004); L. M. Krauss and B. Chaboyer, Science 299, 65 (2003).
9. L. M. Krauss, Astrophys. J. 604, 481 (2004); L. M. Krauss and B. Chaboyer, Science 299, 65 (2003).
10. D. N. Spergel et al., Astrophys. J. Suppl. Ser. 148, 175 (2003); C. L. Bennett et al., Astrophys. J. 583, 1 (2003).
11. D. N. Spergel et al., Astrophys. J. Suppl. Ser. 148, 175 (2003); C. L. Bennett et al., Astrophys. J. 583, 1 (2003).
12. M. Tegmark, A. J. S. Hamilton, and Y. Xu, Mon. Not. R. Astron. Soc. 335, 887 (2002); SDSS Collaboration, M. Tegmark et al., Phys. Rev. D 69, 103501 (2004); SDSS Collaboration, M. Tegmark et al., Astrophys. J. 606, 702 (2004).
13. M. Tegmark, A. J. S. Hamilton, and Y. Xu, Mon. Not. R. Astron. Soc. 335, 887 (2002); SDSS Collaboration, M. Tegmark et al., Phys. Rev. D 69, 103501 (2004); SDSS Collaboration, M. Tegmark et al., Astrophys. J. 606, 702 (2004).
14. M. Tegmark, A. J. S. Hamilton, and Y. Xu, Mon. Not. R. Astron. Soc. 335, 887 (2002); SDSS Collaboration, M. Tegmark et al., Phys. Rev. D 69, 103501 (2004); SDSS Collaboration, M. Tegmark et al., Astrophys. J. 606, 702 (2004).
15. S. W. Allen, P. R. W. Schmidt, H. Ebeling, A. C. Fabian, and L. van Speybroeck, Mon. Not. R. Astron. Soc. 353, 457 (2004); S. W. Allen, P. R. W. Schmidt, and A. C. Fabian, Mon. Not. R. Astron. Soc. 334, L11 (2002).
16. S. W. Allen, P. R. W. Schmidt, H. Ebeling, A. C. Fabian, and L. van Speybroeck, Mon. Not. R. Astron. Soc. 353, 457 (2004); S. W. Allen, P. R. W. Schmidt, and A. C. Fabian, Mon. Not. R. Astron. Soc. 334, L11 (2002).
17. P. Fosalba, E. Gaztañaga, and F. Castander, Astrophys. J. 597, L89 (2003); R. Scranton et al., astro-ph/0307335 [Phys. Rev. Lett, (to be published)]; M. R. Nolta et al., Astrophys. J. 608, 10 (2004); N. Afshordi, Y.-Sh. Loh, and M. A. Strauss, Phys. Rev. D 69, 083524 (2004); S. Boughn and R. Crittenden, Nature (London) 427, 45 (2004); P. Fosalba and E. Gaztañaga, Mon. Not. R. Astron. Soc. 350, L37 (2004); E. Gaztanaga, M. Manera, and T. Multamaki, astro-ph/0407022.
18. P. Fosalba, E. Gaztañaga, and F. Castander, Astrophys. J. 597, L89 (2003); R. Scranton et al., astro-ph/0307335 [Phys. Rev. Lett, (to be published)]; M. R. Nolta et al., Astrophys. J. 608, 10 (2004); N. Afshordi, Y.-Sh. Loh, and M. A. Strauss, Phys. Rev. D 69, 083524 (2004); S. Boughn and R. Crittenden, Nature (London) 427, 45 (2004); P. Fosalba and E. Gaztañaga, Mon. Not. R. Astron. Soc. 350, L37 (2004); E. Gaztanaga, M. Manera, and T. Multamaki, astro-ph/0407022.
19. P. Fosalba, E. Gaztañaga, and F. Castander, Astrophys. J. 597, L89 (2003); R. Scranton et al., astro-ph/0307335 [Phys. Rev. Lett, (to be published)]; M. R. Nolta et al., Astrophys. J. 608, 10 (2004); N. Afshordi, Y.-Sh. Loh, and M. A. Strauss, Phys. Rev. D 69, 083524 (2004); S. Boughn and R. Crittenden, Nature (London) 427, 45 (2004); P. Fosalba and E. Gaztañaga, Mon. Not. R. Astron. Soc. 350, L37 (2004); E. Gaztanaga, M. Manera, and T. Multamaki, astro-ph/0407022.
20. P. Fosalba, E. Gaztañaga, and F. Castander, Astrophys. J. 597, L89 (2003); R. Scranton et al., astro-ph/0307335 [Phys. Rev. Lett, (to be published)]; M. R. Nolta et al., Astrophys. J. 608, 10 (2004); N. Afshordi, Y.-Sh. Loh, and M. A. Strauss, Phys. Rev. D 69, 083524 (2004); S. Boughn and R. Crittenden, Nature (London) 427, 45 (2004); P. Fosalba and E. Gaztañaga, Mon. Not. R. Astron. Soc. 350, L37 (2004); E. Gaztanaga, M. Manera, and T. Multamaki, astro-ph/0407022.
21. P. Fosalba, E. Gaztañaga, and F. Castander, Astrophys. J. 597, L89 (2003); R. Scranton et al., astro-ph/0307335 [Phys. Rev. Lett, (to be published)]; M. R. Nolta et al., Astrophys. J. 608, 10 (2004); N. Afshordi, Y.-Sh. Loh, and M. A. Strauss, Phys. Rev. D 69, 083524 (2004); S. Boughn and R. Crittenden, Nature (London) 427, 45 (2004); P. Fosalba and E. Gaztañaga, Mon. Not. R. Astron. Soc. 350, L37 (2004); E. Gaztanaga, M. Manera, and T. Multamaki, astro-ph/0407022.
22. P. Fosalba, E. Gaztañaga, and F. Castander, Astrophys. J. 597, L89 (2003); R. Scranton et al., astro-ph/0307335 [Phys. Rev. Lett, (to be published)]; M. R. Nolta et al., Astrophys. J. 608, 10 (2004); N. Afshordi, Y.-Sh. Loh, and M. A. Strauss, Phys. Rev. D 69, 083524 (2004); S. Boughn and R. Crittenden, Nature (London) 427, 45 (2004); P. Fosalba and E. Gaztañaga, Mon. Not. R. Astron. Soc. 350, L37 (2004); E. Gaztanaga, M. Manera, and T. Multamaki, astro-ph/0407022.
23. P. Fosalba, E. Gaztañaga, and F. Castander, Astrophys. J. 597, L89 (2003); R. Scranton et al., astro-ph/0307335 [Phys. Rev. Lett, (to be published)]; M. R. Nolta et al., Astrophys. J. 608, 10 (2004); N. Afshordi, Y.-Sh. Loh, and M. A. Strauss, Phys. Rev. D 69, 083524 (2004); S. Boughn and R. Crittenden, Nature (London) 427, 45 (2004); P. Fosalba and E. Gaztañaga, Mon. Not. R. Astron. Soc. 350, L37 (2004); E. Gaztanaga, M. Manera, and T. Multamaki, astro-ph/0407022.
24. For reviews, see, e.g., G. Bertone, D. Hooper, and J. Silk, Phys. Rep. 405, 279 (2005); K. Griest and M. Kamionkowski, Phys. Rep. 333, 167 (2000); M. S. Turner, Phys. Rep. 197, 67 (1990); G. G. Raffelt, Phys. Rep. 198, 1 (1990).
25. For reviews, see, e.g., G. Bertone, D. Hooper, and J. Silk, Phys. Rep. 405, 279 (2005); K. Griest and M. Kamionkowski, Phys. Rep. 333, 167 (2000); M. S. Turner, Phys. Rep. 197, 67 (1990); G. G. Raffelt, Phys. Rep. 198, 1 (1990).
26. For reviews, see, e.g., G. Bertone, D. Hooper, and J. Silk, Phys. Rep. 405, 279 (2005); K. Griest and M. Kamionkowski, Phys. Rep. 333, 167 (2000); M. S. Turner, Phys. Rep. 197, 67 (1990); G. G. Raffelt, Phys. Rep. 198, 1 (1990).
27. For reviews, see, e.g., G. Bertone, D. Hooper, and J. Silk, Phys. Rep. 405, 279 (2005); K. Griest and M. Kamionkowski, Phys. Rep. 333, 167 (2000); M. S. Turner, Phys. Rep. 197, 67 (1990); G. G. Raffelt, Phys. Rep. 198, 1 (1990).
28. For reviews, see, for instance, M. S. Turner, Phys. Rep. 333, 619 (2000); V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000); S. M. Carrol, Living Rev. Relativity 4, 1 (2001); P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
29. For reviews, see, for instance, M. S. Turner, Phys. Rep. 333, 619 (2000); V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000); S. M. Carrol, Living Rev. Relativity 4, 1 (2001); P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
30. For reviews, see, for instance, M. S. Turner, Phys. Rep. 333, 619 (2000); V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000); S. M. Carrol, Living Rev. Relativity 4, 1 (2001); P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
31. For reviews, see, for instance, M. S. Turner, Phys. Rep. 333, 619 (2000); V. Sahni and A. A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000); S. M. Carrol, Living Rev. Relativity 4, 1 (2001); P. J. E. Peebles and B. Ratra, Rev. Mod. Phys. 75, 559 (2003).
32. A. Kamenshchik, U. Moschella, and V. Pasquier, Phys. Lett. B 511, 265 (2001).
33. M. Makler, Ph.D. thesis, Brazilian Center for Research in Physics, 2001.
34. N. Bilic, G. B. Tupper, R. D. Viollier, Phys. Lett. B 535, 17 (2002).
35. M. C. Bento, O. Bertolami, and A. A. Sen, Phys. Rev. D 66, 043507 (2002).
36. M. Makler, S. Q. Oliveira, and I. Waga, Phys. Rev. D 68, 123521 (2003).
37. H. Sandvik, M. Tegmark, M. Zaldarriaga, and I. Waga. Phys. Rev. D 69, 123524 (2004).
38. R. R. R. Reis, M. Makler, and I. Waga, Classical Quantum Gravity 22, 353 (2005).
39. L. J. Hall, J. Lykken, and S. Weinberg, Phys. Rev. D 27, 2359 (1983); E. Cremmer, S. Ferrara, L. Girardello, and A. Van Proeyen, Nucl. Phys. B212, 413 (1983); S. K. Soni and H.A. Weldon, Phys. Lett. 126B, 215 (1983); M. Visser, Ph.D. Thesis, University of California, Berkeley, 1984, available at http://www.physics.wustl.edu/~visser/thesis.ps
40. L. J. Hall, J. Lykken, and S. Weinberg, Phys. Rev. D 27, 2359 (1983); E. Cremmer, S. Ferrara, L. Girardello, and A. Van Proeyen, Nucl. Phys. B212, 413 (1983); S. K. Soni and H.A. Weldon, Phys. Lett. 126B, 215 (1983); M. Visser, Ph.D. Thesis, University of California, Berkeley, 1984, available at http://www.physics.wustl.edu/~visser/thesis.ps
41. L. J. Hall, J. Lykken, and S. Weinberg, Phys. Rev. D 27, 2359 (1983); E. Cremmer, S. Ferrara, L. Girardello, and A. Van Proeyen, Nucl. Phys. B212, 413 (1983); S. K. Soni and H.A. Weldon, Phys. Lett. 126B, 215 (1983); M. Visser, Ph.D. Thesis, University of California, Berkeley, 1984, available at http://www.physics.wustl.edu/~visser/thesis.ps
42. L. J. Hall, J. Lykken, and S. Weinberg, Phys. Rev. D 27, 2359 (1983); E. Cremmer, S. Ferrara, L. Girardello, and A. Van Proeyen, Nucl. Phys. B212, 413 (1983); S. K. Soni and H.A. Weldon, Phys. Lett. 126B, 215 (1983); M. Visser, Ph.D. Thesis, University of California, Berkeley, 1984, available at http://www.physics.wustl.edu/~visser/thesis.ps
43. D. Gross and E. Witten, Nucl. Phys. B277, 1 (1986); J. Polchinski, Superstrings (Cambridge University Press, Cambridge, England, 1998), Vol. II, Chap. 12.
44. D. Gross and E. Witten, Nucl. Phys. B277, 1 (1986); J. Polchinski, Superstrings (Cambridge University Press, Cambridge, England, 1998), Vol. II, Chap. 12.
45. L. P. Chimento, M. Forte, and R. Lazkoz, astro-ph/0407288; L. P. Chimento, Phys. Rev. D 69, 123517 (2004).
46. L. P. Chimento, M. Forte, and R. Lazkoz, astro-ph/0407288; L. P. Chimento, Phys. Rev. D 69, 123517 (2004).
47. D. Kutasov, M. Marino, and G. W. Moore, J. High Energy Phys. 10 (2000) 045; K. Li and E. Witten, Phys. Rev. D 48, 853 (1993); A. Sen, J. High Energy Phys. 10 (1999) 008.
48. D. Kutasov, M. Marino, and G. W. Moore, J. High Energy Phys. 10 (2000) 045; K. Li and E. Witten, Phys. Rev. D 48, 853 (1993); A. Sen, J. High Energy Phys. 10 (1999) 008.
49. D. Kutasov, M. Marino, and G. W. Moore, J. High Energy Phys. 10 (2000) 045; K. Li and E. Witten, Phys. Rev. D 48, 853 (1993); A. Sen, J. High Energy Phys. 10 (1999) 008.
50. N. Arkani-Hamed, H.-Ch. Cheng, M. A. Luty, and S. Mukohyama, J. High Energy Phys. 05 (2004) 074.
51. C. Armendariz-Picon, T. Damour, and V. F. Mukhanov, Phys. Lett. B 458, 209 (1999).
52. J. Garriga and V. F. Mukhanov, Phys. Lett. B 458, 219 (1999).
53. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. D 63, 103510 (2001); C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000); T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000); T. Chiba, Phys. Rev. D 66, 063514 (2002).
54. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. D 63, 103510 (2001); C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000); T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000); T. Chiba, Phys. Rev. D 66, 063514 (2002).
55. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. D 63, 103510 (2001); C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000); T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000); T. Chiba, Phys. Rev. D 66, 063514 (2002).
56. C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. D 63, 103510 (2001); C. Armendariz-Picon, V. Mukhanov, and P. J. Steinhardt, Phys. Rev. Lett. 85, 4438 (2000); T. Chiba, T. Okabe, and M. Yamaguchi, Phys. Rev. D 62, 023511 (2000); T. Chiba, Phys. Rev. D 66, 063514 (2002).
57. A. Sen, J. High Energy Phys. 04 (2002) 48; G. W. Gibbons, Phys. Lett. B 537, 1 (2002); T. Padmanabhan and T. R. Choudhury, Phys. Rev. D 66, 081301(R) (2002).
58. A. Sen, J. High Energy Phys. 04 (2002) 48; G. W. Gibbons, Phys. Lett. B 537, 1 (2002); T. Padmanabhan and T. R. Choudhury, Phys. Rev. D 66, 081301(R) (2002).
59. A. Sen, J. High Energy Phys. 04 (2002) 48; G. W. Gibbons, Phys. Lett. B 537, 1 (2002); T. Padmanabhan and T. R. Choudhury, Phys. Rev. D 66, 081301(R) (2002).
60. M. Novelle, S. E. Perez Bergliaffa, and J. M. Salim, Phys. Rev. D 69, 127301 (2004).
61. R. J. Scherrer, Phys. Rev. Lett. 93, 011301 (2004).
62. Y. Choquet-Bruhat, C. de Witt-Morette, and M. Dillard-Bleick, Analysis, Manifolds and Physics (North-Holland, New York, 1977), p. 455; see also J. Hadamard, Leçons Sur la Propagation des Ondes et les Équations de l'Hydrodynamique (Hermann, Paris, 1903).
63. Y. Choquet-Bruhat, C. de Witt-Morette, and M. Dillard-Bleick, Analysis, Manifolds and Physics (North-Holland, New York, 1977), p. 455; see also J. Hadamard, Leçons Sur la Propagation des Ondes et les Équations de l'Hydrodynamique (Hermann, Paris, 1903).
64. M. Visser, in Artificial Black Holes, edited by M. Novelle, M. Visser, and G. Volovik (World Scientific, Singapore, 2002), p. 1.
65. M. Novelle, VA. De Lorenci, J. M. Salim, and R. Klippert, Phys. Rev. D 61, 045001 (2000).
66. M. Novelle and S. E. Perez Bergliaffa, in Proceedings of the Xth Brazilian School of Gravitation and Cosmology, edited by M. Novelle and S. E. Perez Bergliaffa [AIP Conf. Proc. 668, 288 (2003)].
67. M. Novelle and S. E. Perez Bergliaffa, in Proceedings of the Xth Brazilian School of Gravitation and Cosmology, edited by M. Novelle and S. E. Perez Bergliaffa [AIP Conf. Proc. 668, 288 (2003)].
68. G. W. Gibbons, Rev. Mex. Fis. 49S1, 19 (2003).
69. M. Born and L. Infeld, Proc. R. Soc. London A 144, 425 (1934).
70. M. Novelle, in Ref. [31], p. 267.
71. S. Chaplygin, Sci. Mem. Moscow Univ. Math. Phys. 21, 1 (1904).
72. W. Heisenberg, Z. Phys. 113, 61 (1939).
73. D. Bazeia and R. Jackiw, Ann. Phys. (N.Y.) 270, 246 (1998); R. Jackiw and A. P. Polychronakos, Commun. Math. Phys. 207, 107 (1999); M. Bordemann and J. Hoppe, Phys. Lett. B 317, 315 (1993).
74. D. Bazeia and R. Jackiw, Ann. Phys. (N.Y.) 270, 246 (1998); R. Jackiw and A. P. Polychronakos, Commun. Math. Phys. 207, 107 (1999); M. Bordemann and J. Hoppe, Phys. Lett. B 317, 315 (1993).
75. D. Bazeia and R. Jackiw, Ann. Phys. (N.Y.) 270, 246 (1998); R. Jackiw and A. P. Polychronakos, Commun. Math. Phys. 207, 107 (1999); M. Bordemann and J. Hoppe, Phys. Lett. B 317, 315 (1993).
76. R. Bean and O. Dore, Phys. Rev. D 68, 023515 (2003); D. Carturan and F. Finelli, Phys. Rev. D 68, 103501 (2003); J. V. Cunha, J. S. Alcaniz, and J. A. S. Lima, Phys. Rev. D 69, 083501 (2004); T. Multamaki, M. Manera, and E. Gaztanaga, Phys. Rev. D 69, 023004 (2004).
77. R. Bean and O. Dore, Phys. Rev. D 68, 023515 (2003); D. Carturan and F. Finelli, Phys. Rev. D 68, 103501 (2003); J. V. Cunha, J. S. Alcaniz, and J. A. S. Lima, Phys. Rev. D 69, 083501 (2004); T. Multamaki, M. Manera, and E. Gaztanaga, Phys. Rev. D 69, 023004 (2004).
78. R. Bean and O. Dore, Phys. Rev. D 68, 023515 (2003); D. Carturan and F. Finelli, Phys. Rev. D 68, 103501 (2003); J. V. Cunha, J. S. Alcaniz, and J. A. S. Lima, Phys. Rev. D 69, 083501 (2004); T. Multamaki, M. Manera, and E. Gaztanaga, Phys. Rev. D 69, 023004 (2004).
79. R. Bean and O. Dore, Phys. Rev. D 68, 023515 (2003); D. Carturan and F. Finelli, Phys. Rev. D 68, 103501 (2003); J. V. Cunha, J. S. Alcaniz, and J. A. S. Lima, Phys. Rev. D 69, 083501 (2004); T. Multamaki, M. Manera, and E. Gaztanaga, Phys. Rev. D 69, 023004 (2004).
80. M. Makler, S. Q. Oliveira, and I. Waga, Phys. Lett. B 555, 1 (2003).
81. R. Colistete, Jr., J. C. Fabris, S. V. B. Gonçalves, and P. E. de Souza, Int. J. Mod. Phys. D 13, 669 (2004); L. M. G. Beca, P. P. Avelino, J.P.M. de Carvalho, and C. J. A. P. Martins, Phys. Rev. D 67, 101301(R) (2003); A. Dev, D. Jain, and J. S. Alcaniz, Astron. Astrophys. 417, 847 (2004); O. Bertolami, A. A. Sen, S. Sen, and P. T. Silva, Mon. Not. R. Astron. Soc. 353, 329 (2004).
82. R. Colistete, Jr., J. C. Fabris, S. V. B. Gonçalves, and P. E. de Souza, Int. J. Mod. Phys. D 13, 669 (2004); L. M. G. Beca, P. P. Avelino, J.P.M. de Carvalho, and C. J. A. P. Martins, Phys. Rev. D 67, 101301(R) (2003); A. Dev, D. Jain, and J. S. Alcaniz, Astron. Astrophys. 417, 847 (2004); O. Bertolami, A. A. Sen, S. Sen, and P. T. Silva, Mon. Not. R. Astron. Soc. 353, 329 (2004).
83. R. Colistete, Jr., J. C. Fabris, S. V. B. Gonçalves, and P. E. de Souza, Int. J. Mod. Phys. D 13, 669 (2004); L. M. G. Beca, P. P. Avelino, J.P.M. de Carvalho, and C. J. A. P. Martins, Phys. Rev. D 67, 101301(R) (2003); A. Dev, D. Jain, and J. S. Alcaniz, Astron. Astrophys. 417, 847 (2004); O. Bertolami, A. A. Sen, S. Sen, and P. T. Silva, Mon. Not. R. Astron. Soc. 353, 329 (2004).
84. R. Colistete, Jr., J. C. Fabris, S. V. B. Gonçalves, and P. E. de Souza, Int. J. Mod. Phys. D 13, 669 (2004); L. M. G. Beca, P. P. Avelino, J.P.M. de Carvalho, and C. J. A. P. Martins, Phys. Rev. D 67, 101301(R) (2003); A. Dev, D. Jain, and J. S. Alcaniz, Astron. Astrophys. 417, 847 (2004); O. Bertolami, A. A. Sen, S. Sen, and P. T. Silva, Mon. Not. R. Astron. Soc. 353, 329 (2004).
85. L. Amendola, F. Finelli, C. Burigana, and D. Carturan, J. Cosmol. Astropart. Phys. 07 (2003) 005.
86. R. R. R. Reis, I. Waga, M. O. Calvào, and S. E. Jorás, Phys. Rev. D 68, 061302(R) (2003).
87. R. R. R. Reis, M. Makler, and I. Waga, Phys. Rev. D 69, 101301(R) (2004).
88. F. Perrotta, S. Matarrese, and M. Torki, Phys. Rev. D 70, 121304(R) (2004).
89. H. Kodama and M. Sasaki, Prog. Theor. Phys. Suppl. 78, 1 (1984).
90. L. R. W. Abramo (private communication).
91. S. Perlmutter and B. P. Schmidt, in Supernovae & Gamma Ray Bursts, edited by K. Weiler, Lecture Notes in Physics (to be published).
92. R. A. Knop et al., Astrophys. J. 598, 102 (2003).
93. J. L. Tonry et al., Astrophys. J. 594, 1 (2003).
94. S. Burles, K. M. Nollett, and M. S. Turner, Astrophys. J. 552, L1 (2001).
95. D. Kirkman, D. Tytler, N. Suzuki, J. M. O'Meara, and D. Lubin, Astrophys. J. Suppl. Ser. 149, 1 (2003).
96. W. Freedman et al., Astrophys. J. 553, 47 (2001).
97. M. Makler, L. S. Werneck, D. Alencar, and M. O. Calvão (to be published).
98. S. M. Carroll, hep-th/0011110.
99. M. Fierz, Helv. Phys. Acta 12, 3 (1939); M. Fierz and W. Pauli, Proc. R. Soc. London A 173, 211 (1939).
100. M. Fierz, Helv. Phys. Acta 12, 3 (1939); M. Fierz and W. Pauli, Proc. R. Soc. London A 173, 211 (1939).